
Time bar (total: 10.6s)
| 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)
| 617.0ms | 8 256× | 0 | valid |
ival-sin: 214.0ms (52.6% of total)ival-mult: 81.0ms (19.9% of total)ival-div: 57.0ms (14% of total)ival-sinh: 44.0ms (10.8% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 1 | (5.009861067857227e-53 -1.6078176347822248e-264) | (/.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 | 20 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 1 |
| - | 0 | 235 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 1 |
| - | 0 | 0 | 235 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 12.0ms (54.4% of total)ival-div: 3.0ms (13.6% of total)ival-mult: 3.0ms (13.6% of total)ival-sinh: 3.0ms (13.6% of total)ival-true: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 60 | 41 |
| 2 | 192 | 37 |
| 3 | 708 | 37 |
| 4 | 2266 | 37 |
| 5 | 5589 | 37 |
| 6 | 7660 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 39 | 7 |
| 3 | 78 | 7 |
| 4 | 165 | 7 |
| 5 | 344 | 7 |
| 6 | 870 | 7 |
| 7 | 1773 | 7 |
| 8 | 3130 | 7 |
| 9 | 4129 | 7 |
| 10 | 4620 | 7 |
| 11 | 4697 | 7 |
| 12 | 4697 | 7 |
| 13 | 4697 | 7 |
| 14 | 5117 | 7 |
| 15 | 5301 | 7 |
| 16 | 5301 | 7 |
| 17 | 5301 | 7 |
| 18 | 5301 | 7 |
| 19 | 5339 | 7 |
| 20 | 5422 | 7 |
| 21 | 5422 | 7 |
| 22 | 5422 | 7 |
| 0 | 5422 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 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)
(negabs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.4% | (/.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 | 39 | 18 |
| 3 | 78 | 18 |
| 4 | 165 | 18 |
| 5 | 344 | 18 |
| 6 | 870 | 18 |
| 7 | 1773 | 18 |
| 8 | 3130 | 18 |
| 9 | 4129 | 18 |
| 10 | 4620 | 18 |
| 11 | 4697 | 18 |
| 12 | 4697 | 18 |
| 13 | 4697 | 18 |
| 14 | 5117 | 18 |
| 15 | 5301 | 18 |
| 16 | 5301 | 18 |
| 17 | 5301 | 18 |
| 18 | 5301 | 18 |
| 19 | 5339 | 18 |
| 20 | 5422 | 18 |
| 21 | 5422 | 18 |
| 22 | 5422 | 18 |
| 0 | 5422 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 0.0546875 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| accuracy | 4.83747318030117 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 276.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 7.0ms (61.7% of total)ival-div: 2.0ms (17.6% of total)ival-mult: 2.0ms (17.6% of total)ival-sinh: 1.0ms (8.8% of total)ival-true: 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 | 373 | 451 |
| 2 | 1226 | 411 |
| 3 | 3021 | 390 |
| 0 | 8140 | 354 |
| 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)))))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.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)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #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 (* 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))) x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (*.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)))) (* (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 3 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #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 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) |
(* 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) x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) |
(* 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) 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 (+ (* (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 (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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (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)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (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 | 27 | 16 |
| 2 | 117 | 16 |
| 3 | 840 | 16 |
| 0 | 8315 | 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 #s(literal -2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (*.f64 x x))) x) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (/.f64 x (sin.f64 x)))) #s(literal 1/2 binary64)) |
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(/.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 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) (cosh.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) (cosh.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))) (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (sinh.f64 y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(sinh.f64 y) |
(neg.f64 (*.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 y)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 y) #s(literal 2 binary64))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) (cosh.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 y)) (cosh.f64 y) (pow.f64 (exp.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (/.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64))) |
Compiled 8 820 to 1 558 computations (82.3% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 8 | 520 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 512 | 9 | 521 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.4% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 82.1% | (/.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) | |
| 45.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| 92.4% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) | |
| ▶ | 99.9% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
| ▶ | 91.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) |
| ▶ | 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ▶ | 53.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| ▶ | 89.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
Compiled 309 to 222 computations (28.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) | |
| cost-diff | 5 | (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) | |
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| cost-diff | 6 | (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (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))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (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))) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) | |
| 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 | (/.f64 x (sin.f64 x)) | |
| cost-diff | 1 | (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 331 |
| 0 | 71 | 325 |
| 1 | 141 | 324 |
| 2 | 356 | 309 |
| 3 | 1180 | 303 |
| 4 | 3223 | 303 |
| 5 | 5645 | 303 |
| 0 | 8265 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) |
#s(literal -1 binary64) |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(neg.f64 (sinh.f64 y)) |
(sinh.f64 y) |
y |
#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 |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
(*.f64 (*.f64 (/.f64 (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))) y) |
(*.f64 (/.f64 (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))) |
(/.f64 (sin.f64 x) 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 (*.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) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
y |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) |
(*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(pow.f64 y #s(literal 4 binary64)) |
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))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
#s(literal -1 binary64) |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
(neg.f64 (sinh.f64 y)) |
(sinh.f64 y) |
y |
#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 |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.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))) |
(*.f64 (*.f64 (/.f64 (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))) y) |
(*.f64 (*.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)) |
(*.f64 (/.f64 (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))) |
(*.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) 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) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(sinh.f64 y) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
y |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y x) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(*.f64 (/.f64 y x) (*.f64 (sin.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) x)) |
(pow.f64 y #s(literal 4 binary64)) |
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))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
(*.f64 y y) |
#s(literal 1/120 binary64) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) (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)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.47882518507054356 | (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) | |
| accuracy | 4.279696502982414 | (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) | |
| accuracy | 4.320494378979397 | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) | |
| accuracy | 5.215619243023815 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 y)) | |
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 24.395684428522586 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| accuracy | 30.05723014036284 | (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 0.273262085646544 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 1.438593509291961 | (*.f64 (/.f64 (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))) | |
| accuracy | 7.780312842489134 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 30.249871728429934 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| accuracy | 0.0 | (neg.f64 (sinh.f64 y)) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) | |
| accuracy | 0.1015625 | (/.f64 x (sin.f64 x)) | |
| accuracy | 0.3554281817779906 | (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) |
| 125.0ms | 39× | 2 | valid |
| 70.0ms | 130× | 0 | valid |
| 61.0ms | 87× | 1 | valid |
Compiled 286 to 43 computations (85% saved)
adjust: 36.0ms (22.2% of total)ival-mult: 29.0ms (17.8% of total)ival-sub: 28.0ms (17.2% of total)ival-exp: 20.0ms (12.3% of total)const: 13.0ms (8% of total)ival-sin: 10.0ms (6.2% of total)ival-div: 9.0ms (5.5% of total)ival-add: 8.0ms (4.9% of total)ival-pow: 6.0ms (3.7% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-sinh: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 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) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
(*.f64 (*.f64 (/.f64 (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))) y) |
(*.f64 (/.f64 (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))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
(fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) |
(*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(pow.f64 y #s(literal 4 binary64)) |
(neg.f64 (sinh.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(exp.f64 (neg.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) 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 |
(- (* 1/6 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
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 (* -1/6 (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 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* 1/120 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/5040 (+ 1 (* 1/6 (pow y 2)))))))))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))))) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (* y (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (+ (* y (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (* y (+ (* -1/5040 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/5040 (+ 1 (* 1/6 (pow y 2)))))))))))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (+ (* -1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/5040 (pow y 2)))) |
(+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 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))))))))) |
(+ 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)) |
(* -1 (/ (sin x) x)) |
(/ x (sin x)) |
(sin 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) |
(/ (+ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))))) x) |
(/ (* y (+ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))) x) |
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x) |
(* -1 (/ (+ (* -1 (* (sin x) (+ 1 (* 1/6 (pow y 2))))) (* -1 (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))) x)) |
(* -1 (/ (* y (+ (* -1 (* (sin x) (+ 1 (* 1/6 (pow y 2))))) (* -1 (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))))))) 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))) |
(+ (* 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 (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 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)) |
(pow y 4) |
(* -1 y) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (pow y 2)) 1/120)) 1/6)) 1)) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* 1/120 (/ (sin x) x)) |
(+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) 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)))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp y) |
(* 1/5040 (/ (* (pow y 6) (sin x)) x)) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(* -1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(exp (neg y)) |
(* 1/5040 (/ (* (pow y 2) (sin x)) x)) |
(* (pow y 2) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* 1/6 (/ (* (pow y 2) (sin x)) x)) |
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* -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)))))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(- (exp y) (exp (* -1 y))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))) |
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))) |
(exp (* -1 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | ((* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ -1 (/ x (sin x))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (/ (* (sin x) (sinh y)) x) (* (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) y) (pow y 4) (neg (sinh y)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) |
| 15.0ms | y | @ | inf | ((* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ -1 (/ x (sin x))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (/ (* (sin x) (sinh y)) x) (* (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) y) (pow y 4) (neg (sinh y)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) |
| 9.0ms | x | @ | -inf | ((* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ -1 (/ x (sin x))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (/ (* (sin x) (sinh y)) x) (* (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) y) (pow y 4) (neg (sinh y)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) |
| 6.0ms | x | @ | 0 | ((* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ -1 (/ x (sin x))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (/ (* (sin x) (sinh y)) x) (* (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) y) (pow y 4) (neg (sinh y)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) |
| 5.0ms | y | @ | -inf | ((* (/ -1 (/ x (sin x))) (neg (sinh y))) (/ -1 (/ x (sin x))) (/ x (sin x)) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (* (- (exp y) (exp (neg y))) 1/2) (/ (* (sin x) (sinh y)) x) (- (exp y) (exp (neg y))) (exp y) (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (/ (* (sin x) (sinh y)) x) (* (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) y) (pow y 4) (neg (sinh y)) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120)) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 2559 |
| 1 | 1426 | 2385 |
| 2 | 5480 | 2056 |
| 0 | 8376 | 1841 |
| 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 |
(- (* 1/6 (pow x 2)) 1) |
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1) |
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
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 (* -1/6 (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 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* 1/120 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/5040 (+ 1 (* 1/6 (pow y 2)))))))))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))))) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (* y (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (+ (* y (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (* y (+ (* -1/5040 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/5040 (+ 1 (* 1/6 (pow y 2)))))))))))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (+ (* -1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/5040 (pow y 2)))) |
(+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 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))))))))) |
(+ 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)) |
(* -1 (/ (sin x) x)) |
(/ x (sin x)) |
(sin 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) |
(/ (+ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))))) x) |
(/ (* y (+ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))) x) |
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x) |
(* -1 (/ (+ (* -1 (* (sin x) (+ 1 (* 1/6 (pow y 2))))) (* -1 (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))) x)) |
(* -1 (/ (* y (+ (* -1 (* (sin x) (+ 1 (* 1/6 (pow y 2))))) (* -1 (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))))))) 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))) |
(+ (* 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 (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 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)) |
(pow y 4) |
(* -1 y) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (pow y 2)) 1/120)) 1/6)) 1)) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* 1/120 (/ (sin x) x)) |
(+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) 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)))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp y) |
(* 1/5040 (/ (* (pow y 6) (sin x)) x)) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(* -1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(exp (neg y)) |
(* 1/5040 (/ (* (pow y 2) (sin x)) x)) |
(* (pow y 2) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* 1/6 (/ (* (pow y 2) (sin x)) x)) |
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* -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)))))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(- (exp y) (exp (* -1 y))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))) |
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))) |
(exp (* -1 y)) |
| 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 |
#s(literal -1 binary64) |
(- (* 1/6 (pow x 2)) 1) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1) |
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
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) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 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 (* -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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 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 (*.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))) (*.f64 x 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)) #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 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* 1/6 (pow y 2)) (+ (* (pow x 2) (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (+ (* 1/120 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/5040 (+ 1 (* 1/6 (pow y 2)))))))))))) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (fma.f64 #s(literal -1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 x x)))) #s(literal 1 binary64)) |
(* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (* y (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y)) |
(+ (* y (+ 1 (+ (* 1/6 (pow y 2)) (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))))) (* (pow x 2) (+ (* y (+ (* -1/6 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/6 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (+ (* y (+ (* 1/120 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))) (* (pow x 2) (* y (+ (* -1/5040 (* (pow y 4) (+ 1/120 (* 1/5040 (pow y 2))))) (* -1/5040 (+ 1 (* 1/6 (pow y 2)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (+ (* -1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/5040 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(+ 1/120 (+ (* 1/5040 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1/120 (* 1/5040 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1/120 (* 1/5040 (pow y 2))))) (* 1/120 (+ 1/120 (* 1/5040 (pow y 2)))))))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* -1 (/ (sin x) x)) |
(/.f64 (sin.f64 x) (neg.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 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) |
(/ (* 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 (* 1/6 (pow y 2)))) (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))))) x) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) x) |
(/ (* y (+ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (/.f64 y x)) |
(/ (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x) (sin.f64 x)) |
(/ (* (sin x) (+ 1 (* 1/6 (pow y 2)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x)) |
(* -1 (/ (+ (* -1 (* (sin x) (+ 1 (* 1/6 (pow y 2))))) (* -1 (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2))))))) x)) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) x) |
(* -1 (/ (* y (+ (* -1 (* (sin x) (+ 1 (* 1/6 (pow y 2))))) (* -1 (* (pow y 4) (* (sin x) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) (/.f64 y x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) 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 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) y) |
(+ (* 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)) x) (sin.f64 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) 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 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ (* (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)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(pow y 4) |
(pow.f64 y #s(literal 4 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1/6 (pow y 2)) 1)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y) |
(* y (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 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)) y) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (pow y 2)) 1/120)) 1/6)) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal -1 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 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(* 1/120 (/ (sin x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64)) |
(+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 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 (/.f64 (sin.f64 x) 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) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.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 (*.f64 (/.f64 (sin.f64 x) 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) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp y) |
(exp.f64 y) |
(* 1/5040 (/ (* (pow y 6) (sin x)) x)) |
(*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (sin.f64 x) x)) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 6 binary64))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 6 binary64)))))) |
(* -1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 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))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(* 1/5040 (/ (* (pow y 2) (sin x)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/6 (/ (* (pow y 2) (sin x)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) (sin.f64 x)) |
(* -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 (/.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) (* 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 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))) |
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 265 |
| 0 | 71 | 259 |
| 1 | 244 | 247 |
| 2 | 1824 | 247 |
| 0 | 8190 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) |
(/.f64 x (sin.f64 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) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
(*.f64 (*.f64 (/.f64 (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))) y) |
(*.f64 (/.f64 (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))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp.f64 y) |
(fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) |
(*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(pow.f64 y #s(literal 4 binary64)) |
(neg.f64 (sinh.f64 y)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(exp.f64 (neg.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
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(exp.f64 y) |
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(fma.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 (sin.f64 x) x))) |
(fma.f64 (sin.f64 x) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 (sin.f64 x) x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) x)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 (sin.f64 x) x)) |
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 (sin.f64 x) x))) |
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
Compiled 60 010 to 6 525 computations (89.1% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 487 | 19 | 1 506 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 493 | 22 | 1 515 |
| Status | Accuracy | Program |
|---|---|---|
| 45.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) | |
| ▶ | 89.5% | #s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 x))) y)) |
| ✓ | 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 45.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))) | |
| 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) | |
| ▶ | 52.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
| 17.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| ✓ | 89.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
| 83.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 55.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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)) | |
| ▶ | 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) |
| 33.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ▶ | 36.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
| 31.4% | #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)) | |
| 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 51.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| ▶ | 25.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
| 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) | |
| 55.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) | |
| 54.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)) | |
| 61.9% | #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
Compiled 1 148 to 761 computations (33.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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))) (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)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(approx (/ (sin x) x) (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) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.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 x (sin.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 x))) y)) | |
| cost-diff | 2 | (*.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)) (/.f64 x (sin.f64 x))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 408 |
| 0 | 78 | 408 |
| 1 | 142 | 408 |
| 2 | 247 | 408 |
| 3 | 542 | 404 |
| 4 | 1336 | 404 |
| 5 | 2564 | 404 |
| 6 | 4399 | 404 |
| 7 | 5958 | 404 |
| 0 | 8166 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 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)) (/.f64 x (sin.f64 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 x (sin.f64 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 #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) |
#s(literal 1 binary64) |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (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) x) (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))) |
#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) |
(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(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
(exp.f64 y) |
y |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) 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) x) (sin.f64 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)) (/.f64 x (sin.f64 x))) y) |
(*.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) x) (sin.f64 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)) (/.f64 x (sin.f64 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)) |
(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 #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) |
#s(literal 1 binary64) |
(/.f64 x (sin.f64 x)) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
x |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (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) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (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) #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin x) x) (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 (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) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(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) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) (exp.f64 y)))) |
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) (exp.f64 y))) |
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
(exp.f64 y) |
y |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 24.395684428522586 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) | |
| accuracy | 30.05723014036284 | (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 30.93529222111254 | #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.273262085646544 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 1.438593509291961 | (*.f64 #s(approx (/ (sin x) x) (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))) | |
| accuracy | 7.780312842489134 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) | |
| accuracy | 33.337231632866285 | #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.0859375 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) | |
| accuracy | 0.28990953557828075 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 30.249871728429934 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| accuracy | 33.28651309803957 | #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 24.395684428522586 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) | |
| accuracy | 29.97569887561275 | #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0.1015625 | (/.f64 x (sin.f64 x)) | |
| accuracy | 0.273262085646544 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) | |
| accuracy | 1.6947442008383937 | (/.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 x (sin.f64 x))) | |
| accuracy | 7.780312842489134 | #s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 x))) y)) |
| 85.0ms | 130× | 0 | valid |
| 62.0ms | 87× | 1 | valid |
| 42.0ms | 39× | 2 | valid |
Compiled 273 to 44 computations (83.9% saved)
ival-mult: 33.0ms (27.8% of total)ival-exp: 22.0ms (18.6% of total)const: 17.0ms (14.3% of total)adjust: 11.0ms (9.3% of total)ival-add: 11.0ms (9.3% of total)ival-div: 7.0ms (5.9% of total)ival-sin: 7.0ms (5.9% of total)ival-sinh: 6.0ms (5.1% of total)ival-sub: 3.0ms (2.5% of total)ival-neg: 1.0ms (0.8% 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 (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 x (sin.f64 x))) y) |
#s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 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 x (sin.f64 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (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) x) (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))) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
(exp.f64 y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/.f64 x (sin.f64 x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(* 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)))))))))))) |
(* 1/2 (- (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 (* (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)))))) |
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 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(/ x (sin x)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 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))) |
(+ (* 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 (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* 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))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp y) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(exp (neg y)) |
(* -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)))))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(- (exp y) (exp (* -1 y))) |
(exp (* -1 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 175.0ms | y | @ | inf | ((* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) y) (/ (* (sin x) (sinh y)) x) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* 2 y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* y y)) 1/6) (/ x (sin x)) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (exp (neg y))) |
| 4.0ms | x | @ | -inf | ((* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) y) (/ (* (sin x) (sinh y)) x) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* 2 y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* y y)) 1/6) (/ x (sin x)) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (exp (neg y))) |
| 3.0ms | x | @ | inf | ((* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) y) (/ (* (sin x) (sinh y)) x) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* 2 y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* y y)) 1/6) (/ x (sin x)) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (exp (neg y))) |
| 3.0ms | y | @ | -inf | ((* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) y) (/ (* (sin x) (sinh y)) x) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* 2 y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* y y)) 1/6) (/ x (sin x)) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (exp (neg y))) |
| 2.0ms | y | @ | 0 | ((* (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) y) (/ (* (sin x) (sinh y)) x) (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin x))) (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* 2 y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* y y)) 1/6) (/ x (sin x)) (+ (* 1/120 (* x x)) -1/6) (+ (* (* y y) 1/120) 1/6) (exp (neg y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 1250 |
| 1 | 810 | 1137 |
| 2 | 2801 | 1021 |
| 3 | 7123 | 1021 |
| 0 | 8111 | 923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))))))))) |
(* 1/2 (- (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 (* (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)))))) |
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 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(/ x (sin x)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 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))) |
(+ (* 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 (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* 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))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp y) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(exp (neg y)) |
(* -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)))))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(- (exp y) (exp (* -1 y))) |
(exp (* -1 y)) |
| Outputs |
|---|
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(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) |
(+ (* -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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (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)) |
(+ (* 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ (* 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 (pow.f64 x #s(literal 4 binary64)) (*.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) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (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))) |
(* 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 #s(literal -1/12 binary64) (*.f64 x x) #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 (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))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #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 (*.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))) |
(+ 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x 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))) |
(+ 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 (pow.f64 x #s(literal 4 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)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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)))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.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) (/.f64 (sin.f64 x) 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) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) 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)) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(* 1/120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) 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 (fma.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))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) x)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 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) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y #s(literal 1 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 (/.f64 (sin.f64 x) 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) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.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 #s(literal 1/120 binary64) (sin.f64 x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) 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 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 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 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.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)) |
(*.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))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp y) |
(exp.f64 y) |
(* 1/120 (pow y 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(* -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 (/.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) (* 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 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 352 |
| 0 | 78 | 346 |
| 1 | 283 | 346 |
| 2 | 1648 | 346 |
| 0 | 8534 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) (/.f64 x (sin.f64 x))) y) |
#s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 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 x (sin.f64 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (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) x) (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))) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
(exp.f64 y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(/.f64 x (sin.f64 x)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.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) (/.f64 y (neg.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.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)) (neg.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.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))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (neg.f64 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)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 y (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 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)))) |
(*.f64 (/.f64 y (/.f64 (/.f64 x (sin.f64 x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.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)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 (/.f64 x (sin.f64 x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.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 y #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) 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)))) |
(*.f64 (/.f64 y x) (/.f64 (neg.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))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #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))))) |
(*.f64 (/.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)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.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 (neg.f64 x) (sin.f64 x)))) |
(*.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)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 y (neg.f64 x))) |
(*.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)) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 y (/.f64 x (sin.f64 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))) |
(*.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)) (neg.f64 x)) (/.f64 y (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.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)) y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.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)) y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.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)) y) x) (sin.f64 x)) |
(*.f64 (*.f64 y (/.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)) (sin.f64 x)) |
(*.f64 (/.f64 y (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (/.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)) |
(*.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)) x) (*.f64 (sin.f64 x) y)) |
(*.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)) x) (/.f64 y (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.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)) y) (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (/.f64 (pow.f64 (sin.f64 x) #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))))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 y (pow.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)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) 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 (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 y (/.f64 x (sin.f64 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)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 y (*.f64 (/.f64 (sin.f64 x) 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)))) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 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)) y)) #s(literal -1 binary64)) |
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(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
Compiled 26 065 to 2 905 computations (88.9% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 8 | 616 |
| Fresh | 3 | 12 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 613 | 25 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| 45.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| ▶ | 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) |
| 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) | |
| ✓ | 89.5% | #s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 x))) y)) |
| 59.5% | #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) | |
| 61.9% | #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) | |
| ✓ | 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 45.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))) | |
| 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) | |
| 17.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) | |
| ✓ | 89.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
| ▶ | 83.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 55.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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)) | |
| ✓ | 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) |
| 54.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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)) | |
| 33.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ✓ | 36.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
| 31.4% | #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)) | |
| ▶ | 36.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
| ▶ | 25.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| ▶ | 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
| 51.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) | |
| 55.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) | |
| 61.9% | #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
Compiled 1 321 to 836 computations (36.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) | |
| cost-diff | 9 | (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 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(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #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 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| cost-diff | 2 | (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 583 |
| 0 | 93 | 581 |
| 1 | 168 | 581 |
| 2 | 331 | 557 |
| 3 | 821 | 555 |
| 4 | 2006 | 555 |
| 5 | 3212 | 555 |
| 6 | 5292 | 555 |
| 7 | 6877 | 555 |
| 0 | 8051 | 546 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) 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 (*.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#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) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 y y) |
y |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) |
(fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 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) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(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) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
(fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#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) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 #s(literal 1/120 binary64) x) x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1/2 binary64) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y))) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 y y) |
y |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) 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) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 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) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(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) 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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.273262085646544 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 2.1451978554495295 | (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) | |
| accuracy | 7.780312842489134 | #s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) | |
| accuracy | 33.337231632866285 | #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) | |
| accuracy | 0.2697315070702924 | (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) | |
| accuracy | 4.0082222439765385 | #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) | |
| accuracy | 24.395684428522586 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| accuracy | 0.37194078557828075 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 29.41329099317915 | #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) | |
| accuracy | 30.249871728429934 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| accuracy | 33.28651309803957 | #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.0859375 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| accuracy | 30.249871728429934 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| accuracy | 32.79068901897724 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 x) x) | |
| accuracy | 1.438593509291961 | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 7.780312842489134 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| accuracy | 30.313154370708055 | #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) |
| 98.0ms | 130× | 0 | valid |
| 96.0ms | 87× | 1 | valid |
| 49.0ms | 39× | 2 | valid |
Compiled 345 to 51 computations (85.2% saved)
const: 63.0ms (29.9% of total)adjust: 43.0ms (20.4% of total)ival-mult: 40.0ms (19% of total)ival-add: 26.0ms (12.4% of total)ival-exp: 19.0ms (9% of total)ival-sin: 10.0ms (4.8% of total)ival-div: 5.0ms (2.4% of total)ival-sub: 2.0ms (1% of total)ival-neg: 1.0ms (0.5% of total)ival-sinh: 1.0ms (0.5% 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 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (sin.f64 x) 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) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) |
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(* 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)))))))))))) |
(* 1/2 (- (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 (* (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 |
(+ 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 |
(+ 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)))))) |
(+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (+ (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* 1/120 y) (* 1/120 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (+ (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* 1/120 y) (+ (* 1/120 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 y) (* -1/5040 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ (* (pow x 2) (+ (* -1/6 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ (* (pow x 2) (+ (* -1/6 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2)))))) (* y (+ 1/6 (* 1/120 (pow y 2))))) |
(+ (* y (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2))))))))) |
(+ (* y (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* y (+ 1/6 (* 1/120 (pow y 2)))))))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (sin x) x) |
(/ (* y (sin x)) x) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(/ (+ (* y (sin x)) (* (pow y 3) (* (sin x) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (pow y 2) (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (/ (+ (* -1 (* y (sin x))) (* -1 (* (pow y 3) (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))))) 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))) |
(+ (* 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 (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(* 1/6 (/ (* (pow y 2) (sin x)) x)) |
(* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) |
(* 1/6 (/ (* y (sin x)) x)) |
(* y (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
1/60 |
(+ 1/60 (* 1/2520 (pow y 2))) |
1/3 |
(+ 1/3 (* 1/60 (pow y 2))) |
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))) |
(* 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)))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(* 1/2520 (pow y 7)) |
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6))))))) |
(* 1/120 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/2520 (pow y 2)) |
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* 1/2520 (pow y 4)) |
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2)))))) |
(* -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)))))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(- (exp y) (exp (* -1 y))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (+ (* (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) y) (* (/ (sin x) x) y)) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (* (* x x) 1/120) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (/ (sin x) x) (+ (* (* y y) 1/120) 1/6)) |
| 7.0ms | x | @ | 0 | ((* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (+ (* (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) y) (* (/ (sin x) x) y)) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (* (* x x) 1/120) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (/ (sin x) x) (+ (* (* y y) 1/120) 1/6)) |
| 6.0ms | x | @ | inf | ((* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (+ (* (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) y) (* (/ (sin x) x) y)) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (* (* x x) 1/120) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (/ (sin x) x) (+ (* (* y y) 1/120) 1/6)) |
| 5.0ms | y | @ | inf | ((* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (+ (* (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) y) (* (/ (sin x) x) y)) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (* (* x x) 1/120) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (/ (sin x) x) (+ (* (* y y) 1/120) 1/6)) |
| 4.0ms | y | @ | -inf | ((* (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) y) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (+ (* (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) y) (* (/ (sin x) x) y)) (/ (* (sin x) (sinh y)) x) (* (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) y) (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (+ (* (* y y) 1/120) 1/6) (+ (* 1/120 (* x x)) -1/6) (* (* x x) 1/120) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (/ (sin x) x) (+ (* (* y y) 1/120) 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 1938 |
| 1 | 1108 | 1664 |
| 2 | 4369 | 1517 |
| 0 | 8167 | 1389 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))))))))))) |
(* 1/2 (- (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 (* (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 |
(+ 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 |
(+ 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)))))) |
(+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (+ (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* 1/120 y) (* 1/120 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (+ (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* 1/120 y) (+ (* 1/120 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 y) (* -1/5040 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ (* (pow x 2) (+ (* -1/6 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ (* (pow x 2) (+ (* -1/6 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2)))))) (* y (+ 1/6 (* 1/120 (pow y 2))))) |
(+ (* y (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2))))))))) |
(+ (* y (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* y (+ 1/6 (* 1/120 (pow y 2)))))))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (sin x) x) |
(/ (* y (sin x)) x) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(/ (+ (* y (sin x)) (* (pow y 3) (* (sin x) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (pow y 2) (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (/ (+ (* -1 (* y (sin x))) (* -1 (* (pow y 3) (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))))) 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))) |
(+ (* 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 (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 2 y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(* 1/6 (/ (* (pow y 2) (sin x)) x)) |
(* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) |
(* 1/6 (/ (* y (sin x)) x)) |
(* y (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
1/60 |
(+ 1/60 (* 1/2520 (pow y 2))) |
1/3 |
(+ 1/3 (* 1/60 (pow y 2))) |
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))) |
(* 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)))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(* 1/2520 (pow y 7)) |
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6))))))) |
(* 1/120 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/2520 (pow y 2)) |
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* 1/2520 (pow y 4)) |
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2)))))) |
(* -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)))))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(- (exp y) (exp (* -1 y))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
| Outputs |
|---|
(* 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 (*.f64 x x) #s(literal -1/6 binary64) #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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ (* 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 (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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) |
(* 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 #s(literal -1/12 binary64) (*.f64 x x) #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 (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))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 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 (*.f64 x x) #s(literal -1/6 binary64) #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 (*.f64 x x) #s(literal 1/120 binary64) #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 (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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(+ y (* (pow y 3) (+ 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 (+ (* (pow x 2) (+ (* -1/6 y) (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 (+ (* (pow x 2) (+ (* -1/6 y) (+ (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* 1/120 y) (* 1/120 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 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 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 y) (+ (* -1/6 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* 1/120 y) (+ (* 1/120 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 y) (* -1/5040 (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) |
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) |
(+ (* -1/6 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y)) |
(+ (* (pow x 2) (+ (* -1/6 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ (* (pow x 2) (+ (* -1/6 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) 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) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2)))))) (* y (+ 1/6 (* 1/120 (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) |
(+ (* y (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1/6 (* 1/120 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2))))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ (* y (+ 1/6 (* 1/120 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1/6 (* 1/120 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* y (+ 1/6 (* 1/120 (pow y 2)))))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(/ (* 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) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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) x) |
(/.f64 (sin.f64 x) x) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* 1/120 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))) |
(/ (+ (* y (sin x)) (* (pow y 3) (* (sin x) (+ 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) |
(/ (* (pow y 2) (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) y) y) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)) |
(/ (* y (* (sin x) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (sin.f64 x)) (/.f64 y x)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) |
(* -1 (/ (+ (* -1 (* y (sin x))) (* -1 (* (pow y 3) (* (sin x) (+ 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) |
(* y (+ (* 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)) (/.f64 (sin.f64 x) x)) y) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 x) 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 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) 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)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 (sin.f64 x) 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 (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)) (pow.f64 y #s(literal 3 binary64)) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 1/3 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* 1/60 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(* y (+ 2 (* (pow y 2) (+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(* 1/6 (/ (* (pow y 2) (sin x)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) y) y) x) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 y y)) |
(* 1/6 (/ (* y (sin x)) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) #s(literal 1/6 binary64)) |
(* y (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 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)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow y 2))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow y 2))) |
(fma.f64 #s(literal 1/60 binary64) (*.f64 y y) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow y 2) (+ 1/60 (* 1/2520 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 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 (/.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) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.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 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 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 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(- (exp y) (exp (neg y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(* 1/2520 (pow y 7)) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow y 7) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal 1/60 binary64) (*.f64 y y))) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 7 binary64))) |
(* 1/120 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 3) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 3 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))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/2520 (pow y 2)) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
(* 1/2520 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2520 binary64)) |
(* (pow y 4) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (* 1/60 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal 1/60 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 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 (/.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) (* 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 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/2 (- (exp y) (exp (* -1 y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(- (exp y) (exp (* -1 y))) |
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow y 2)))) (pow y 2))) 1/2520))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1/60 binary64)) y) y))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 y y)) #s(literal 1/2520 binary64))) (pow.f64 y #s(literal 7 binary64))) |
(* -1 (* (pow y 3) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 488 |
| 0 | 93 | 480 |
| 1 | 309 | 480 |
| 2 | 2038 | 480 |
| 0 | 8433 | 473 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) 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 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (sin.f64 x) 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) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
#s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
(fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (sinh y)) x) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) |
(*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) |
#s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) y) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) y) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) (*.f64 (/.f64 (sin.f64 x) x) y)) (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) y) (*.f64 (/.f64 (sin.f64 x) x) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 y (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x)))) (-.f64 (*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) (*.f64 y (/.f64 (sin.f64 x) x))) (*.f64 (*.f64 y (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 y (/.f64 (sin.f64 x) x)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y))) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)) y)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)) x) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)) y) x) |
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x))))) |
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) y (*.f64 (/.f64 (sin.f64 x) x) y)) |
(fma.f64 y (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) (*.f64 y (/.f64 (sin.f64 x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x))) y) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) y) (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 y (/.f64 (sin.f64 x) x))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) (*.f64 y #s(literal 1/3 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 y (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal -1/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y)) |
#s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 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)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
Compiled 28 054 to 2 965 computations (89.4% saved)
31 alts after pruning (23 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 568 | 9 | 577 |
| Fresh | 1 | 14 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 571 | 31 | 602 |
| Status | Accuracy | Program |
|---|---|---|
| 45.2% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| 46.0% | #s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) | |
| 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) | |
| 52.5% | #s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) | |
| ✓ | 89.5% | #s(approx (/ (* (sin x) (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)) (/.f64 x (sin.f64 x))) y)) |
| 59.5% | #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) | |
| 61.9% | #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) | |
| ✓ | 52.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| 45.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))) | |
| 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) | |
| 17.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) | |
| ✓ | 89.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) |
| ✓ | 83.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| 53.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) | |
| 55.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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)) | |
| 49.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) | |
| ✓ | 52.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) |
| 51.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) | |
| 54.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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)) | |
| 33.9% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| ✓ | 36.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
| 31.4% | #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)) | |
| ✓ | 36.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
| ✓ | 25.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 57.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 48.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) | |
| 57.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) | |
| 55.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) | |
| 61.9% | #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
Compiled 2 294 to 907 computations (60.5% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) 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)) 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)) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y (pow.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 y)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (fma.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))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
4 calls:
| 54.0ms | (sinh.f64 y) |
| 29.0ms | y |
| 13.0ms | x |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.9% | 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) 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)) 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)) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
4 calls:
| 57.0ms | x |
| 40.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 36.0ms | (sinh.f64 y) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 99.9% | 2 | y |
| 99.9% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.9% | 2 | (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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) 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)) 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)) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 (/.f64 (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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
4 calls:
| 84.0ms | y |
| 12.0ms | x |
| 11.0ms | (sinh.f64 y) |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 97.2% | 3 | y |
| 89.5% | 1 | (sinh.f64 y) |
| 94.7% | 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
1 calls:
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 y (/.f64 x (sin.f64 x)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
1 calls:
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (* y y)) 2) y) (*.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/2520 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (/.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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
4 calls:
| 31.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 31.0ms | (sinh.f64 y) |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 2 | (sinh.f64 y) |
| 73.9% | 2 | x |
| 74.3% | 2 | y |
| 85.2% | 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)))) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) y) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (/.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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
1 calls:
| 7.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) (fma.f64 (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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 (/.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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) 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) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (/.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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (fma.f64 (*.f64 #s(approx (* (/ (sin x) x) (* (+ (* (* y y) 1/120) 1/6) y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y)) y) y (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
4 calls:
| 6.0ms | x |
| 6.0ms | y |
| 6.0ms | (sinh.f64 y) |
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | x |
| 63.4% | 4 | y |
| 61.7% | 3 | (sinh.f64 y) |
| 72.5% | 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #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) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y) y #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
1 calls:
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.1% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)) |
1 calls:
| 4.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)) |
1 calls:
| 4.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) 1/6) (* y y)) 1) (/ x (sin 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)) |
| 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin 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))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 2 | x |
| 63.1% | 3 | (/.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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 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)) |
#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)) |
| 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
4 calls:
| 31.0ms | (sinh.f64 y) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.8% | 2 | x |
| 36.2% | 3 | (sinh.f64 y) |
| 36.2% | 3 | y |
| 37.6% | 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 2 | x |
Compiled 1 to 2 computations (-100% 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)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 1.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.6% | 1 | y |
| 25.6% | 1 | (sinh.f64 y) |
| 25.6% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 25.6% | 1 | x |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.981124337719898e-13 | 1.531734984111574e-12 |
| 1.0ms | 16× | 0 | valid |
Compiled 27 to 27 computations (0% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.631490995933556e-36 | 3.441392264862378e-35 |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.631490995933556e-36 | 3.441392264862378e-35 |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.631490995933556e-36 | 3.441392264862378e-35 |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.096202755117793e-60 | 2.0983170692727758e-55 |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.096202755117793e-60 | 2.0983170692727758e-55 |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.003453542235484639 | +inf |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.003453542235484639 | +inf |
| 0.0ms | -inf | -1.130331306580812e-143 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.743468108743342e-303 | 1.6078176269535404e-264 |
| 0.0ms | -2.5912472242486e-163 | -3.4243987548002494e-196 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.743468108743342e-303 | 1.6078176269535404e-264 |
| 0.0ms | -1.130331306580812e-143 | -2.549431297376665e-150 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.743468108743342e-303 | 1.6078176269535404e-264 |
| 0.0ms | -2.5912472242486e-163 | -3.4243987548002494e-196 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.743468108743342e-303 | 1.6078176269535404e-264 |
| 0.0ms | -2.5912472242486e-163 | -3.4243987548002494e-196 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.743468108743342e-303 | 1.6078176269535404e-264 |
| 0.0ms | -2.5912472242486e-163 | -3.4243987548002494e-196 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.743468108743342e-303 | 1.6078176269535404e-264 |
| 0.0ms | -2.5912472242486e-163 | -3.4243987548002494e-196 |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 9.047698601635882e+144 | 3.264853014403791e+148 |
| 11.0ms | 128× | 0 | valid |
Compiled 370 to 283 computations (23.5% saved)
ival-sin: 5.0ms (65% of total)ival-div: 1.0ms (13% of total)ival-mult: 1.0ms (13% of total)ival-sinh: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.090907713748892e+26 | 2.1484168544695863e+27 |
| 6.0ms | 80× | 0 | valid |
Compiled 210 to 166 computations (21% saved)
ival-sin: 3.0ms (71.8% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sinh: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1797 |
| 1 | 245 | 1797 |
| 2 | 406 | 1747 |
| 3 | 912 | 1747 |
| 4 | 2178 | 1747 |
| 5 | 3782 | 1747 |
| 6 | 5783 | 1747 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(if (<=.f64 x #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) |
(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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 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)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1000000000000000013287555072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))) (neg.f64 (sinh.f64 y))) |
(if (<=.f64 x #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) |
(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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (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))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(approx (+ (* (* y y) 1/120) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) 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 (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ (* (sin x) (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)) #s(approx (/ x (sin x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (+ (* (pow y 4) (* (/ (sin x) x) (+ (* 1/5040 (* y y)) 1/120))) (* (+ (* (* y y) 1/6) 1) (/ (sin x) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (*.f64 #s(approx (/ (sin x) x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (* (/ (sin x) x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (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)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 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)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1930258305619341/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 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)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1000000000000000013287555072 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))) |
#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 | 42 | 265 |
| 0 | 71 | 259 |
| 1 | 244 | 247 |
| 2 | 1824 | 247 |
| 0 | 8190 | 247 |
| 0 | 413 | 2559 |
| 1 | 1426 | 2385 |
| 2 | 5480 | 2056 |
| 0 | 8376 | 1841 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 27 | 16 |
| 2 | 117 | 16 |
| 3 | 840 | 16 |
| 0 | 8315 | 16 |
| 0 | 113 | 506 |
| 1 | 373 | 451 |
| 2 | 1226 | 411 |
| 3 | 3021 | 390 |
| 0 | 8140 | 354 |
| 0 | 255 | 1250 |
| 1 | 810 | 1137 |
| 2 | 2801 | 1021 |
| 3 | 7123 | 1021 |
| 0 | 8111 | 923 |
| 0 | 331 | 1938 |
| 1 | 1108 | 1664 |
| 2 | 4369 | 1517 |
| 0 | 8167 | 1389 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node 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 |
Compiled 2 253 to 693 computations (69.2% saved)
(negabs y)
Compiled 3 748 to 478 computations (87.2% saved)
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