
Time bar (total: 9.0s)
| 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)
| 907.0ms | 8 256× | 0 | valid |
ival-sin: 260.0ms (42.4% of total)ival-div: 121.0ms (19.7% of total)ival-mult: 121.0ms (19.7% of total)ival-sinh: 101.0ms (16.5% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 0 | - | 2 | (-3.46916162888836e-258 -8.209199958277508e-58) | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) | u/n | 30 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 2 |
| - | 0 | 224 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 2 |
| - | 0 | 0 | 224 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 21.0ms (55.6% of total)ival-mult: 7.0ms (18.5% of total)ival-sinh: 5.0ms (13.2% of total)ival-div: 4.0ms (10.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 43 |
| 1 | 50 | 41 |
| 2 | 148 | 39 |
| 3 | 390 | 39 |
| 4 | 1507 | 39 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 40 | 7 |
| 3 | 86 | 7 |
| 4 | 306 | 7 |
| 5 | 1819 | 7 |
| 6 | 5585 | 7 |
| 0 | 8523 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.6% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 19 | 18 |
| 2 | 40 | 18 |
| 3 | 86 | 18 |
| 4 | 306 | 18 |
| 5 | 1819 | 18 |
| 6 | 5585 | 18 |
| 0 | 8523 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(sin.f64 x) |
x |
(sinh.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.078125 | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| accuracy | 7.288241770268659 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 19.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 7.0ms (57.5% of total)ival-div: 2.0ms (16.4% of total)ival-mult: 2.0ms (16.4% of total)ival-sinh: 1.0ms (8.2% 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 | 434 | 438 |
| 2 | 1692 | 406 |
| 3 | 5247 | 404 |
| 0 | 8163 | 370 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(sin x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(sin x) |
(sin.f64 x) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) x) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) x) y) |
(* y (sin x)) |
(*.f64 (sin.f64 x) y) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (sin.f64 x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x))) y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 22 | 16 |
| 2 | 75 | 16 |
| 3 | 436 | 16 |
| 4 | 5695 | 16 |
| 0 | 8184 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin.f64 x) |
(sinh.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x) (/.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (sinh.f64 (neg.f64 y)) x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 (neg.f64 y)) x)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 y)))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 y)) (/.f64 #s(literal -1 binary64) (exp.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 y)) #s(literal -4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 y)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (cosh.f64 y) (sinh.f64 y)) (cosh.f64 y)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) (pow.f64 (exp.f64 y) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal -6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 y) #s(literal -6 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 y) #s(literal -9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) (/.f64 #s(literal 2 binary64) (exp.f64 y))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(sinh.f64 y) |
(neg.f64 (sinh.f64 (neg.f64 y))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (cosh.f64 y) (sinh.f64 y))))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 y)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 y)))) |
(-.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -2 binary64)) (cosh.f64 y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))) (cosh.f64 y) (pow.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 y)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal -2 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 y)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y)))) |
(+.f64 (-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (cosh.f64 y) #s(literal 2 binary64))) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64))) (*.f64 (*.f64 (cosh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 (exp.f64 y) (cosh.f64 y)) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 y))))) |
(+.f64 (/.f64 (cosh.f64 y) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 y) (exp.f64 (neg.f64 y))) #s(literal 2 binary64))) |
Compiled 3 625 to 776 computations (78.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 8 | 208 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 8 | 209 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.4% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
| 76.0% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x) | |
| 38.3% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| ▶ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 88.5% | (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) | |
| ▶ | 87.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
| ▶ | 49.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ▶ | 55.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
Compiled 262 to 192 computations (26.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 y) | |
| cost-diff | 0 | (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) | |
| 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 | 0 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (/.f64 (sin.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| cost-diff | 0 | (sin.f64 x) | |
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | (/.f64 (sinh.f64 y) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 263 |
| 0 | 71 | 263 |
| 1 | 151 | 261 |
| 2 | 482 | 258 |
| 3 | 2299 | 258 |
| 0 | 8313 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
y |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#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) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
#s(literal 2 binary64) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sin.f64 x) |
x |
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(cosh.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
y |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
(sin.f64 x) |
x |
y |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 y 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)) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(*.f64 (/.f64 y 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)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)) |
(sin.f64 x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#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) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.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) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 2 binary64) x) x)) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sin.f64 x) |
x |
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) x) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) |
(cosh.f64 (*.f64 #s(literal 2 binary64) y)) |
(cosh.f64 (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) | |
| accuracy | 0.10282003162065376 | (sinh.f64 (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 8.190294636609652 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (exp.f64 (neg.f64 y)) | |
| accuracy | 0.0 | (exp.f64 y) | |
| accuracy | 15.181843452383472 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) | |
| accuracy | 27.689292818832662 | (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 0.0390625 | (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) | |
| accuracy | 0.05859375 | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| accuracy | 1.443110470100348 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 (sin.f64 x) x) y) | |
| accuracy | 0.05859375 | (/.f64 (sin.f64 x) x) | |
| accuracy | 1.8634608834429331 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) | |
| accuracy | 0.0 | (/.f64 (sinh.f64 y) x) | |
| accuracy | 0.0 | (sin.f64 x) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 179.0ms | 127× | 5 | exit |
| 59.0ms | 62× | 1 | valid |
| 51.0ms | 35× | 2 | valid |
| 41.0ms | 19× | 3 | valid |
| 4.0ms | 13× | 0 | valid |
Compiled 242 to 42 computations (82.6% saved)
ival-add: 53.0ms (20.6% of total)ival-mult: 40.0ms (15.6% of total)adjust: 38.0ms (14.8% of total)ival-sin: 29.0ms (11.3% of total)ival-exp: 25.0ms (9.7% of total)ival-sinh: 22.0ms (8.6% of total)ival-cosh: 20.0ms (7.8% of total)ival-div: 14.0ms (5.5% of total)const: 10.0ms (3.9% of total)ival-sub: 5.0ms (1.9% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#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) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(exp.f64 (neg.f64 y)) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))))) |
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 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)))))) |
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* 6 x) |
(+ (* 6 x) (* 8 (* x (pow y 2)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x)))))) |
(* 6 (* y (sin x))) |
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x)))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x)))))))) |
(* 6 y) |
(* y (+ 6 (* 9 (pow y 2)))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2)))))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2)))))))) |
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))) |
(* 3 y) |
(* y (+ 3 (* 9/2 (pow y 2)))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2)))))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (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)))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp y) |
(- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(exp (neg y)) |
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 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 | |
|---|---|---|---|---|
| 59.0ms | x | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y))) |
| 16.0ms | y | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y))) |
| 13.0ms | y | @ | inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y))) |
| 9.0ms | x | @ | -inf | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y))) |
| 7.0ms | x | @ | 0 | ((* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (sinh y) (sin x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) y) (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (+ (* (* y y) 1/120) 1/6) (exp (neg y)) (sinh (* 3 y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 2413 |
| 1 | 1680 | 2095 |
| 2 | 6980 | 2023 |
| 0 | 8084 | 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))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))))) |
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 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)))))) |
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* 6 x) |
(+ (* 6 x) (* 8 (* x (pow y 2)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x)))))) |
(* 6 (* y (sin x))) |
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x)))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x)))))))) |
(* 6 y) |
(* y (+ 6 (* 9 (pow y 2)))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2)))))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2)))))))) |
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))) |
(* 3 y) |
(* y (+ 3 (* 9/2 (pow y 2)))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2)))))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (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)))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp y) |
(- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(exp (neg y)) |
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 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 |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) x) x (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 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))))))))))) |
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(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1291/15120 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 83/360 binary64) (*.f64 #s(literal -2/9 binary64) (/.f64 (sin.f64 x) x))) #s(literal 4/3 binary64) (*.f64 #s(literal 2/27 binary64) (/.f64 (sin.f64 x) x)))) (*.f64 y y) (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 83/360 binary64) (*.f64 #s(literal -2/9 binary64) (/.f64 (sin.f64 x) x)))) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/6 binary64))) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(+ (* 6 x) (* 8 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 8 binary64) (*.f64 #s(literal 6 binary64) x)) |
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 8 binary64) x)) y) y (*.f64 #s(literal 6 binary64) x)) |
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x)))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 16/45 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 8/3 binary64) x)) y) y (*.f64 #s(literal 8 binary64) x)) (*.f64 y y) (*.f64 #s(literal 6 binary64) x)) |
(* 6 (* y (sin x))) |
(*.f64 (*.f64 #s(literal 6 binary64) (sin.f64 x)) y) |
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64))) y) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 81/20 binary64) (*.f64 y y) #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal 6 binary64) (sin.f64 x)) y)) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x)))))))) |
(*.f64 (fma.f64 (sin.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 243/280 binary64) (*.f64 y y) #s(literal 81/20 binary64))))) y) |
(* 6 y) |
(*.f64 #s(literal 6 binary64) y) |
(* y (+ 6 (* 9 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64)) y) |
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 81/20 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y) #s(literal 6 binary64)) y) |
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 243/280 binary64) (*.f64 y y) #s(literal 81/20 binary64)) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y) #s(literal 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 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 9/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 9/2 binary64) (*.f64 y y) #s(literal 3 binary64)) y) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 81/40 binary64) (*.f64 y y) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 3 binary64)) y) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 243/560 binary64) (*.f64 y y) #s(literal 81/40 binary64)) (*.f64 y y) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 3 binary64)) y) |
(* 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 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 (sin.f64 x) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) x)) |
(* (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) #s(literal 1/120 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64)))) x)) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) (sin.f64 x)) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (*.f64 #s(literal 1/120 binary64) (sin.f64 x))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (sin.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (sin.f64 x) y) (/.f64 (sin.f64 x) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/2 (- (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) |
(- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) |
(-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.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))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) y) y) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (*.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (sin.f64 x) y))) x)) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x y)) (/.f64 (sin.f64 x) y) (/.f64 (fma.f64 #s(literal -1/120 binary64) (sin.f64 x) (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 y #s(literal 4 binary64)))) x))) |
(* 1/2 (- (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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 205 |
| 0 | 71 | 185 |
| 1 | 218 | 181 |
| 2 | 1469 | 181 |
| 0 | 8111 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) x) |
(sinh.f64 y) |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 (sin.f64 x) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#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) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(exp.f64 (neg.f64 y)) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -2 binary64)) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) x)) |
(*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (sin.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64))))) |
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(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)))) |
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(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (pow.f64 (cosh.f64 y) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 y)) (cosh.f64 y))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) |
(-.f64 (cosh.f64 y) (sinh.f64 y)) |
(exp.f64 (*.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 y)) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))) |
(+.f64 (sinh.f64 (neg.f64 y)) (cosh.f64 y)) |
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))) |
(*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))) (*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)))) (-.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))) (*.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 3 binary64) y)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 y) #s(literal -3 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64)) (/.f64 (sinh.f64 (*.f64 #s(literal -3 binary64) y)) #s(literal -2 binary64))) |
Compiled 22 243 to 3 045 computations (86.3% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 678 | 14 | 692 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 682 | 18 | 700 |
| Status | Accuracy | Program |
|---|---|---|
| 87.1% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) | |
| 38.3% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| ✓ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 59.8% | (*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) | |
| ▶ | 91.8% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
| 79.3% | #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) | |
| ✓ | 49.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ✓ | 55.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| 33.0% | #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))) | |
| ▶ | 36.8% | #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))) |
| 56.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 36.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 35.3% | #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)) | |
| ▶ | 27.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| ▶ | 60.0% | #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))) |
| 52.4% | #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))) | |
| 66.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) | |
| ▶ | 36.0% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
Compiled 751 to 527 computations (29.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) | |
| cost-diff | 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))) | |
| 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 | (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) | |
| cost-diff | 0 | #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) | |
| cost-diff | 0 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) | |
| cost-diff | 2 | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 418 |
| 0 | 83 | 418 |
| 1 | 155 | 418 |
| 2 | 448 | 418 |
| 3 | 1874 | 418 |
| 4 | 6792 | 415 |
| 0 | 8224 | 412 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
y |
(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(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) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) 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) x))) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
#s(approx (/ (sinh y) 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) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
x |
(sin.f64 x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 x x) y))) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 x x) y)) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) (*.f64 x x) y) |
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) |
y |
(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(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) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(exp.f64 (neg.f64 y)) |
(neg.f64 y) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 (neg.f64 y)) | |
| accuracy | 21.431774642522463 | #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))) | |
| accuracy | 27.689292818832662 | (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) | |
| accuracy | 32.50110482057419 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0546875 | (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 | 0.0546875 | (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) | |
| accuracy | 5.326552328071389 | #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 | 21.431774642522463 | #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 | 0.07421875 | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
| accuracy | 3.0091224471421594 | (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| accuracy | 28.59096782186226 | #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) | |
| accuracy | 32.1796309706603 | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) | |
| accuracy | 0.0859375 | (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) | |
| accuracy | 28.254676439939963 | #s(approx (/ (sin x) x) #s(literal 1 binary64)) | |
| accuracy | 32.1796309706603 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) | |
| accuracy | 1.2168451513110456 | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) | |
| accuracy | 5.690357516777704 | #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
| 124.0ms | 44× | 2 | valid |
| 89.0ms | 72× | 1 | valid |
| 55.0ms | 140× | 0 | valid |
Compiled 269 to 47 computations (82.5% saved)
ival-mult: 65.0ms (27.6% of total)ival-exp: 55.0ms (23.3% of total)ival-add: 45.0ms (19.1% of total)const: 39.0ms (16.5% of total)adjust: 11.0ms (4.7% of total)ival-sin: 8.0ms (3.4% of total)ival-div: 7.0ms (3% of total)ival-sub: 2.0ms (0.8% of total)ival-sinh: 2.0ms (0.8% of total)ival-neg: 1.0ms (0.4% 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 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 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) |
#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))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 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)) |
(exp.f64 (neg.f64 y)) |
| Outputs |
|---|
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/6 y) |
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* 1/120 (* (pow x 4) y)) |
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y))) |
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4))))) |
(* 1/120 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ 1 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* y (- (* 1/120 (pow x 2)) 1/6)) |
(* 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)))))))) |
(* 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)))))) |
1/60 |
(+ 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 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* 1/120 (/ (pow y 5) x)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (pow y 4) x)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/2 (- (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))))))) |
(exp y) |
(* 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)))))) |
(exp (neg y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1))) |
(* 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))))))) |
(exp (* -1 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (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) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y))) |
| 5.0ms | y | @ | inf | ((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (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) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y))) |
| 4.0ms | x | @ | -inf | ((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (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) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y))) |
| 3.0ms | x | @ | inf | ((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (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) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y))) |
| 3.0ms | y | @ | 0 | ((* (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) y) (* (/ (sinh y) x) (sin x)) (/ (sinh y) x) (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (/ (sin x) x) (/ (* (sin x) (sinh y)) x) (* (/ (sin x) x) y) (+ (* (* y (+ (* 1/120 (* x x)) -1/6)) (* x x)) y) (* y (+ (* 1/120 (* x x)) -1/6)) (/ (* (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) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (+ (* 1/120 (* x x)) -1/6) (+ (* 1/2520 (* y y)) 1/60) (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) (exp (neg y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 260 | 1059 |
| 1 | 935 | 1012 |
| 2 | 3320 | 964 |
| 0 | 8234 | 899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/6 y) |
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(/ (sin x) x) |
(* 1/120 (* (pow x 4) y)) |
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y))) |
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4))))) |
(* 1/120 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/ 1 x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* y (- (* 1/120 (pow x 2)) 1/6)) |
(* 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)))))))) |
(* 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)))))) |
1/60 |
(+ 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 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* 1/120 (/ (pow y 5) x)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/120 (/ (pow y 4) x)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(* 1/2 (- (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))))))) |
(exp y) |
(* 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)))))) |
(exp (neg y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1))) |
(* 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))))))) |
(exp (* -1 y)) |
| Outputs |
|---|
(/ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (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 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 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 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(+ (* -1/6 y) (* 1/120 (* (pow x 2) y))) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) 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) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/120 binary64)) |
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y))) |
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/120 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1/6 (/ y (pow x 2))) (+ (* 1/120 y) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/120 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/120 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ (* -1/6 (/ y (pow x 2))) (* 1/120 y))) |
(*.f64 (*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/120 binary64))) x) 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 x) |
(/.f64 y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) y) x) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) x) |
(* 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) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) x) (/.f64 y x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(* y (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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 (* 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) |
(* 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)) |
1/60 |
#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 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (-.f64 (*.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 (-.f64 (*.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) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 5) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/120 binary64)) x) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 y #s(literal 5 binary64))) |
(* 1/120 (/ (pow y 4) x)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) y) y) #s(literal 1/120 binary64)) x)) |
(* (pow y 4) (+ (/ 1/6 (* x (pow y 2))) (+ (* 1/120 (/ 1 x)) (/ 1 (* x (pow y 4)))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) x) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/2 (- (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 (+.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))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 7 binary64))) |
(exp y) |
(exp.f64 y) |
(* 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))) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))) (* 1/120 (/ 1 x))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) x) (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal -1/120 binary64) x))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (* y (- (* -1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 y)) |
(* 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 (/.f64 #s(literal -1/60 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2520 binary64)))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (-.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)))) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 349 |
| 0 | 83 | 343 |
| 1 | 290 | 343 |
| 2 | 1962 | 343 |
| 0 | 9444 | 343 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y) |
#s(approx (/ (sin x) x) #s(literal 1 binary64)) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y)) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y) |
(*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 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) |
#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))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 (neg.f64 y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 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)) |
(exp.f64 (neg.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (-.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 y (pow.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.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)) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) y) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) y) (*.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) y) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y))) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) y) (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)) x)) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (neg.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)) y)) (neg.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)) y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) (*.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x))) (*.f64 y (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (sin.f64 x) #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y))) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
#s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) (/.f64 y x)))))) |
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(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 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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 1/9 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 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) y)) y)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64))) (*.f64 y y))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 y y)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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)))))) (/.f64 (*.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))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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))))))) |
(+.f64 (/.f64 (*.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))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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)))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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))))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 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))))) (/.f64 (*.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))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 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)))))) |
(+.f64 (/.f64 (*.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))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 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))))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/9 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)))))) |
(+.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)) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 y) #s(literal 3 binary64))) (fma.f64 (sinh.f64 y) (sinh.f64 y) (-.f64 (pow.f64 (cosh.f64 y) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 y)) (cosh.f64 y))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 y) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 y) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 y)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 y))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 y))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 2 binary64)) (exp.f64 y)) (/.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (exp.f64 y))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y))))) (/.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (fma.f64 (sinh.f64 y) (sinh.f64 y) (*.f64 (cosh.f64 y) (sinh.f64 y)))))) |
(-.f64 (cosh.f64 y) (sinh.f64 y)) |
(exp.f64 (*.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 y)) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 y) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 y) (cosh.f64 y) (-.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))))))) |
(+.f64 (sinh.f64 (neg.f64 y)) (cosh.f64 y)) |
(+.f64 (cosh.f64 y) (sinh.f64 (neg.f64 y))) |
Compiled 17 770 to 2 397 computations (86.5% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 12 | 401 |
| Fresh | 2 | 8 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 394 | 25 | 419 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.1% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
| 38.3% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| ✓ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 59.8% | (*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) | |
| ✓ | 91.8% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
| 71.0% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) y)) (sin.f64 x)) | |
| 59.7% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x)) | |
| 79.3% | #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) | |
| ✓ | 49.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ✓ | 55.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| ▶ | 26.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| ▶ | 15.8% | #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))) |
| 56.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 36.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 35.3% | #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)) | |
| ✓ | 27.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 60.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) | |
| 60.0% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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))) | |
| 60.0% | #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))) | |
| ▶ | 59.8% | #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))) |
| 52.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 47.4% | #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))) | |
| ▶ | 66.5% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) |
| 35.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) | |
| 35.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
Compiled 1 274 to 877 computations (31.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 y) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (sinh.f64 y)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (*.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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (*.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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (sinh.f64 (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 479 |
| 0 | 87 | 475 |
| 1 | 161 | 475 |
| 2 | 436 | 471 |
| 3 | 1629 | 471 |
| 4 | 7775 | 471 |
| 0 | 9168 | 462 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
#s(literal 2 binary64) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sin.f64 x) |
x |
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 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))) |
(*.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)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) 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)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 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 #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))) |
(*.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 (- (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)) |
(*.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) |
(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)) |
(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)) |
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) |
#s(literal 1/2520 binary64) |
(*.f64 y y) |
y |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
#s(literal 1 binary64) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sinh.f64 (*.f64 #s(literal 3 binary64) y)) |
(sinh.f64 (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
(sin.f64 x) |
x |
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) x) |
#s(literal 6 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(literal 1/2 binary64) (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))))) |
(*.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)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) 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)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 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 #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))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.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)) |
(*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
#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(approx (- (exp y) (exp (neg y))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64)))) |
(*.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) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y #s(literal 2 binary64))) |
(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)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y #s(literal 2 binary64))) |
(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)) |
(fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) |
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/2520 binary64)) |
#s(literal 1/2520 binary64) |
(*.f64 y y) |
y |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(sinh.f64 y) |
#s(literal 1 binary64) |
(sinh.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) (sinh.f64 y)) | |
| accuracy | 0.00390625 | (sinh.f64 y) | |
| accuracy | 15.181843452383472 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) | |
| accuracy | 0.0703125 | (*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) | |
| accuracy | 1.3272355144354409 | #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)) | |
| accuracy | 15.181843452383472 | #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))) | |
| accuracy | 30.220858490569757 | #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) | |
| accuracy | 1.7058853562446326 | #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) | |
| accuracy | 1.9391781380284143 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 15.181843452383472 | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| accuracy | 27.689292818832662 | (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) | |
| accuracy | 1.8877703989220938 | #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 1.9391781380284143 | #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 15.181843452383472 | #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))) | |
| accuracy | 27.689292818832662 | (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) | |
| accuracy | 0.10282003162065376 | (sinh.f64 (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 1.9790050722552777 | #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) | |
| accuracy | 8.190294636609652 | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
| 243.0ms | 127× | 5 | exit |
| 85.0ms | 62× | 1 | valid |
| 43.0ms | 35× | 2 | valid |
| 28.0ms | 19× | 3 | valid |
| 5.0ms | 13× | 0 | valid |
Compiled 261 to 48 computations (81.6% saved)
ival-mult: 80.0ms (25.3% of total)adjust: 58.0ms (18.4% of total)ival-sinh: 53.0ms (16.8% of total)ival-add: 45.0ms (14.2% of total)ival-exp: 24.0ms (7.6% of total)ival-cosh: 19.0ms (6% of total)const: 14.0ms (4.4% of total)ival-div: 7.0ms (2.2% of total)ival-sub: 7.0ms (2.2% of total)ival-sin: 6.0ms (1.9% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(sinh.f64 (*.f64 #s(literal 3 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))) |
(*.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)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (exp y) (+.f64 #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#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))) |
(*.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 (- (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)) |
(*.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) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(sinh.f64 y) |
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) |
| Outputs |
|---|
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))))) |
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y))))) |
(* 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))))))))) |
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* 6 (* y (sin x))) |
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x)))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x)))))))) |
(* 6 y) |
(* y (+ 6 (* 9 (pow y 2)))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2)))))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2)))))))) |
(* 3 y) |
(* y (+ 3 (* 9/2 (pow y 2)))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2)))))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2)))))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
y |
(* 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)))))))) |
(* 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 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* 6 x) |
(+ (* 6 x) (* 8 (* x (pow y 2)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x)))))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
1/60 |
(+ 1/60 (* 1/2520 (pow y 2))) |
(* 1/2520 (pow y 2)) |
(- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) |
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp 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))))))) |
(exp (neg y)) |
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* 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))))))) |
(exp (* -1 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (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) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y))) |
| 4.0ms | y | @ | -inf | ((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (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) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y))) |
| 3.0ms | x | @ | -inf | ((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (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) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y))) |
| 3.0ms | x | @ | inf | ((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (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) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y))) |
| 2.0ms | x | @ | 0 | ((/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (* (* 2 (sinh (* 3 y))) (sin x)) (* 2 (sinh (* 3 y))) (sinh (* 3 y)) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (exp y) (/ (* (sin x) (sinh y)) x) (* (- (exp y) (exp (neg y))) 1/2) (- (exp y) (exp (neg y))) (/ (* (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) (* 1 (sinh y)) (/ (* (sin x) (sinh y)) x) (sinh y) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (exp (neg y)) (exp (neg y)) (+ (* 1/2520 (* y y)) 1/60) (* 1/2520 (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 1454 |
| 1 | 1234 | 1248 |
| 2 | 4645 | 1113 |
| 0 | 8393 | 1034 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))))) |
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y))))) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y))))) |
(* 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))))))))) |
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(* 6 (* y (sin x))) |
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x)))))) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x)))))))) |
(* 6 y) |
(* y (+ 6 (* 9 (pow y 2)))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2)))))) |
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2)))))))) |
(* 3 y) |
(* y (+ 3 (* 9/2 (pow y 2)))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2)))))) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2)))))))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
y |
(* 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)))))))) |
(* 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 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(* 6 x) |
(+ (* 6 x) (* 8 (* x (pow y 2)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x)))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x)))))) |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
1/60 |
(+ 1/60 (* 1/2520 (pow y 2))) |
(* 1/2520 (pow y 2)) |
(- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) |
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(* 1/2 (- (exp y) (exp (neg y)))) |
(- (exp y) (exp (neg y))) |
(exp 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))))))) |
(exp (neg y)) |
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(* 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))))))) |
(exp (* -1 y)) |
| Outputs |
|---|
(* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) (*.f64 x x))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(+ (* 1/2 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/12 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) (* 1/240 (/ (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))))))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)))) (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 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))) (fma.f64 (exp.f64 y) (exp.f64 y) (+.f64 (pow.f64 (exp.f64 y) #s(literal -2 binary64)) #s(literal 1 binary64)))))) |
(* x (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) x) |
(* x (- (+ (exp (* 3 y)) (* -1/6 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))) (/ 1 (exp (* 3 y))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) x) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* 1/120 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))))))) (/ 1 (exp (* 3 y))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) x) |
(* x (- (+ (exp (* 3 y)) (* (pow x 2) (+ (* -1/6 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))) (* 1/120 (- (exp (* 3 y)) (/ 1 (exp (* 3 y)))))))))) (/ 1 (exp (* 3 y))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))))) (*.f64 x x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64)))) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64)) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64))))) |
(* 2 (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y))))))) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 y) (exp.f64 y) (pow.f64 (exp.f64 y) #s(literal -2 binary64))) x x) #s(literal 2 binary64)) |
(* 1/2 (/ (* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) (* x (+ 1 (+ (exp (* 2 y)) (/ 1 (exp (* 2 y)))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (-.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))) x x)) |
(* (sin x) (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) (sin.f64 x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x)) #s(literal 1/2 binary64)) |
(/ (* y (sin x)) x) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(* y (+ (* (pow y 2) (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (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) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (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) (- (+ (* 3/2 (/ (sin x) x)) (* (pow y 2) (- (+ (* 27/40 (/ (sin x) x)) (* (pow y 2) (- (* 81/560 (/ (sin x) x)) (+ (* 8/135 (/ (sin x) x)) (+ (* 4/9 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))) (* 4/3 (- (* 27/40 (/ (sin x) x)) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))))))) (+ (* 4/9 (/ (sin x) x)) (* 4/3 (- (* 3/2 (/ (sin x) x)) (* 4/3 (/ (sin x) x)))))))) (* 4/3 (/ (sin x) x)))) (/ (sin x) x))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) x) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal 19/1680 binary64) (*.f64 (*.f64 #s(literal -1/120 binary64) (/.f64 (sin.f64 x) x)) #s(literal 4/3 binary64))) (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1/120 binary64))) (*.f64 y y))) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(* 6 (* y (sin x))) |
(*.f64 (*.f64 #s(literal 6 binary64) (sin.f64 x)) y) |
(* y (+ (* 6 (sin x)) (* 9 (* (pow y 2) (sin x))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64))) y) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 81/20 (* (pow y 2) (sin x))) (* 9 (sin x)))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 81/20 binary64) (*.f64 y y) #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal 6 binary64) (sin.f64 x)) y)) |
(* y (+ (* 6 (sin x)) (* (pow y 2) (+ (* 9 (sin x)) (* (pow y 2) (+ (* 243/280 (* (pow y 2) (sin x))) (* 81/20 (sin x)))))))) |
(*.f64 (fma.f64 (sin.f64 x) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 243/280 binary64) (*.f64 y y) #s(literal 81/20 binary64))))) y) |
(* 6 y) |
(*.f64 #s(literal 6 binary64) y) |
(* y (+ 6 (* 9 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 6 binary64)) y) |
(* y (+ 6 (* (pow y 2) (+ 9 (* 81/20 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 81/20 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y) #s(literal 6 binary64)) y) |
(* y (+ 6 (* (pow y 2) (+ 9 (* (pow y 2) (+ 81/20 (* 243/280 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 243/280 binary64) (*.f64 y y) #s(literal 81/20 binary64)) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y y) #s(literal 6 binary64)) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (+ 3 (* 9/2 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 9/2 binary64) (*.f64 y y) #s(literal 3 binary64)) y) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* 81/40 (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 81/40 binary64) (*.f64 y y) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 3 binary64)) y) |
(* y (+ 3 (* (pow y 2) (+ 9/2 (* (pow y 2) (+ 81/40 (* 243/560 (pow y 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 243/560 binary64) (*.f64 y y) #s(literal 81/40 binary64)) (*.f64 y y) #s(literal 9/2 binary64)) (*.f64 y y) #s(literal 3 binary64)) y) |
(* 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 (*.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 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))) y) |
y |
(* 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) |
(* 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 (*.f64 y y) #s(literal 1/60 binary64) #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 (*.f64 y y) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 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)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(+ (* 6 x) (* 8 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal 8 binary64) #s(literal 6 binary64))) |
(+ (* 6 x) (* (pow y 2) (+ (* 8/3 (* x (pow y 2))) (* 8 x)))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 8/3 binary64) (*.f64 y y) #s(literal 8 binary64))) (*.f64 y y) (*.f64 #s(literal 6 binary64) x)) |
(+ (* 6 x) (* (pow y 2) (+ (* 8 x) (* (pow y 2) (+ (* 16/45 (* x (pow y 2))) (* 8/3 x)))))) |
(fma.f64 x (fma.f64 (*.f64 y y) #s(literal 8 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 16/45 binary64) #s(literal 8/3 binary64))))) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) y #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* 1/2520 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/2520 binary64)) |
(- (exp (* 3 y)) (/ 1 (exp (* 3 y)))) |
(-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) |
(* 1/2 (- (exp (* 3 y)) (/ 1 (exp (* 3 y))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)) (pow.f64 (exp.f64 y) #s(literal -3 binary64))) #s(literal 1/2 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) |
(* 1/2520 (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 #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))) |
(* (pow y 7) (+ 1/2520 (+ (/ 1/3 (pow y 4)) (+ (* 1/60 (/ 1 (pow y 2))) (* 2 (/ 1 (pow y 6))))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #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))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 7 binary64))) |
(exp (neg y)) |
(exp.f64 (neg.f64 y)) |
(* (pow y 2) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/2520 binary64) #s(literal 1/60 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 (+.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 y y))) #s(literal 1/2520 binary64))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow y 2)))) (pow y 4))) (+ 1/2520 (* 1/60 (/ 1 (pow y 2))))))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal -1 binary64) #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)))) |
(exp (* -1 y)) |
(exp.f64 (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 378 |
| 0 | 87 | 368 |
| 1 | 295 | 368 |
| 2 | 2003 | 368 |
| 0 | 8500 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) |
(sinh.f64 (*.f64 #s(literal 3 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))) |
(*.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)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (exp y) (+.f64 #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp y) (+.f64 #s(literal 1 binary64) y)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
#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))) |
(*.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 (- (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)) |
(*.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) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(sinh.f64 y) |
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (/.f64 (sin.f64 x) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 9 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 4 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 9 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3 binary64) y))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 9 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 9 binary64))) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (exp.f64 y) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 (neg.f64 y)) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (-.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 #s(literal 2 binary64) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 4 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)))) (sin.f64 x)) (*.f64 #s(literal 4 binary64) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (sin.f64 x)) (*.f64 #s(literal 2 binary64) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64)))))) (neg.f64 (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) (neg.f64 #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 x) (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (sin.f64 x)) |
(*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (sinh.f64 (*.f64 y #s(literal 3 binary64)))))) #s(literal 4 binary64)) |
(fma.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) |
(fma.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) (sin.f64 x) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) |
(+.f64 (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (sinh.f64 (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (fma.f64 y #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 3 binary64)))) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y)) |
(fma.f64 y #s(literal 2 binary64) (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y))) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y)) |
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)))) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
#s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x)) |
#s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))) |
#s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 y))) y) |
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) y)) y) |
(*.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1/2520 binary64) y) y) |
(*.f64 (*.f64 y y) #s(literal 1/2520 binary64)) |
(*.f64 #s(literal 1/2520 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/2520 binary64))) |
(*.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/2520 binary64)))) |
(*.f64 y (fabs.f64 (*.f64 #s(literal 1/2520 binary64) y))) |
(*.f64 y (*.f64 #s(literal 1/2520 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 y #s(literal 4 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 1/2520 binary64)))) |
(fabs.f64 (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) |
Compiled 13 283 to 1 413 computations (89.4% saved)
25 alts after pruning (18 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 6 | 302 |
| Fresh | 3 | 12 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 302 | 25 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| 38.3% | (/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) | |
| 38.3% | (/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) | |
| ✓ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 59.8% | (*.f64 #s(approx (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) | |
| ✓ | 91.8% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
| 59.7% | (*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x)) | |
| 79.3% | #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) | |
| ✓ | 49.7% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
| ✓ | 55.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
| ✓ | 15.8% | #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))) |
| 26.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 15.3% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) | |
| 56.6% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) | |
| 36.2% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) | |
| 35.3% | #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)) | |
| ✓ | 27.1% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
| 59.8% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) | |
| 60.0% | #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))) | |
| 59.8% | #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 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| ✓ | 59.8% | #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))) |
| 52.4% | #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64))) | |
| 47.4% | #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))) | |
| 66.5% | #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) | |
| 35.8% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) | |
| 35.3% | #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
Compiled 1 749 to 745 computations (57.4% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (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 (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) y)) (sin.f64 x)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) y))) (sin.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 12.0ms | x |
| 11.0ms | y |
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 10.0ms | (sinh.f64 y) |
| 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (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 (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) y)) (sin.f64 x)) |
#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) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y)) |
4 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 10.0ms | x |
| 10.0ms | y |
| 8.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 2 | x |
| 91.8% | 1 | y |
| 91.8% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 91.8% | 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (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 (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y)) |
4 calls:
| 13.0ms | y |
| 9.0ms | x |
| 7.0ms | (sinh.f64 y) |
| 7.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 5 | y |
| 89.3% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 89.3% | 3 | (sinh.f64 y) |
| 91.2% | 2 | x |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (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 (/ (sinh y) x) (/.f64 y x)) (sin.f64 x)) |
(/.f64 #s(approx (* (sin x) (sinh y)) (*.f64 (sin.f64 x) y)) x) |
(*.f64 #s(approx (/ (sinh y) x) (*.f64 #s(approx (/ (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1) x) (/.f64 #s(literal 1 binary64) x)) y)) (sin.f64 x)) |
(/.f64 (*.f64 #s(approx (* 2 (sinh (* 3 y))) (*.f64 #s(literal 6 binary64) y)) (sin.f64 x)) #s(approx (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1)) (*.f64 #s(literal 6 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 (exp.f64 y) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
4 calls:
| 16.0ms | (sinh.f64 y) |
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 3 | (sinh.f64 y) |
| 89.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 88.9% | 3 | y |
| 78.8% | 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (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) (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))) |
4 calls:
| 12.0ms | y |
| 7.0ms | x |
| 6.0ms | (sinh.f64 y) |
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | x |
| 69.6% | 3 | y |
| 69.6% | 3 | (sinh.f64 y) |
| 66.5% | 1 | (/.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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(literal 1 binary64) (sinh.f64 y))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 2 | x |
Compiled 1 to 2 computations (-100% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) y (*.f64 #s(literal 2 binary64) y))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) 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) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
4 calls:
| 20.0ms | x |
| 6.0ms | y |
| 5.0ms | (sinh.f64 y) |
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 63.2% | 3 | y |
| 63.2% | 3 | (sinh.f64 y) |
| 67.7% | 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) 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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) 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(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 y y) #s(literal 1/2520 binary64))) (*.f64 y y) #s(literal 1/3 binary64)) (*.f64 y y)) y (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
1 calls:
| 31.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 2 | x |
Compiled 1 to 2 computations (-100% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
#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 #s(approx (+ (* 1/2520 (* y y)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) y) y)) (*.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 (- (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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 2 | x |
Compiled 1 to 2 computations (-100% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (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) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | x |
Compiled 1 to 2 computations (-100% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #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)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
| Outputs |
|---|
#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 (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
4 calls:
| 31.0ms | x |
| 4.0ms | y |
| 3.0ms | (sinh.f64 y) |
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 55.5% | 3 | (sinh.f64 y) |
| 55.5% | 3 | y |
| 60.7% | 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (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 #s(approx (- (exp y) (exp (neg y))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* y y)) 1/60) (* y y)) 1/3) #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 (- (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) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.0% | 3 | x |
Compiled 1 to 2 computations (-100% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) y))) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 38.7% | 3 | (sinh.f64 y) |
| 38.7% | 3 | y |
| 39.2% | 2 | x |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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)) #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 |
|---|---|---|
| 37.1% | 2 | x |
Compiled 1 to 2 computations (-100% 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #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) #s(literal 1 binary64)) #s(approx (exp (neg y)) (-.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.1% | 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)) |
| Outputs |
|---|
#s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (sin x) x) #s(literal 1 binary64)) y)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.1% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 27.1% | 1 | y |
| 27.1% | 1 | (sinh.f64 y) |
| 27.1% | 1 | x |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.344841597387359e-27 | 1.1635428923651075e-25 |
| 1.0ms | 16× | 0 | valid |
Compiled 46 to 38 computations (17.4% 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)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.344841597387359e-27 | 1.1635428923651075e-25 |
| 5.0ms | 96× | 0 | valid |
Compiled 332 to 263 computations (20.8% saved)
ival-div: 1.0ms (39.7% of total)ival-mult: 1.0ms (39.7% of total)ival-sin: 1.0ms (39.7% of total)ival-true: 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 | 1.740873472603879e-13 | +inf |
| 0.0ms | -3.9545615286913356e-7 | -4.465879227373952e-10 |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 162274156.99326846 | 307927638874.2181 |
| 10.0ms | 128× | 0 | valid |
Compiled 442 to 339 computations (23.3% saved)
ival-sin: 5.0ms (65.6% of total)ival-div: 1.0ms (13.1% of total)ival-mult: 1.0ms (13.1% of total)ival-sinh: 1.0ms (13.1% 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 |
|---|---|---|
| 39.0ms | 1.422754807917546e+96 | 7.433223364860539e+97 |
| 34.0ms | 112× | 0 | valid |
Compiled 269 to 214 computations (20.4% saved)
ival-sin: 30.0ms (94.6% of total)ival-div: 1.0ms (3.2% of total)ival-mult: 1.0ms (3.2% of total)ival-sinh: 1.0ms (3.2% 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 |
|---|---|---|
| 7.0ms | 1.422754807917546e+96 | 7.433223364860539e+97 |
| 4.0ms | 48× | 0 | valid |
Compiled 458 to 333 computations (27.3% saved)
ival-sin: 2.0ms (72.6% 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× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.422754807917546e+96 | 7.433223364860539e+97 |
Compiled 444 to 326 computations (26.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.422754807917546e+96 | 7.433223364860539e+97 |
Compiled 493 to 354 computations (28.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.422754807917546e+96 | 7.433223364860539e+97 |
Compiled 479 to 333 computations (30.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.422754807917546e+96 | 7.433223364860539e+97 |
Compiled 374 to 291 computations (22.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.9884141833191544e+228 | 1.1074402749590936e+232 |
| 16.0ms | 2.2876174558561058e+107 | 8.555382990487115e+108 |
| 26.0ms | 240× | 0 | valid |
Compiled 842 to 618 computations (26.6% saved)
ival-sin: 9.0ms (49.1% of total)ival-mult: 6.0ms (32.7% of total)ival-div: 2.0ms (10.9% of total)ival-sinh: 1.0ms (5.5% 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 |
|---|---|---|
| 1.0ms | 1.9884141833191544e+228 | 1.1074402749590936e+232 |
Compiled 450 to 331 computations (26.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.58976870077648e+31 | 1.947517892435431e+39 |
| 13.0ms | 144× | 0 | valid |
Compiled 370 to 290 computations (21.6% saved)
ival-sin: 5.0ms (49.8% of total)ival-div: 3.0ms (29.9% of total)ival-mult: 1.0ms (10% of total)ival-sinh: 1.0ms (10% 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 |
|---|---|---|
| 1.0ms | 7.58976870077648e+31 | 1.947517892435431e+39 |
Compiled 352 to 281 computations (20.2% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 843 |
| 1 | 284 | 843 |
| 2 | 727 | 839 |
| 3 | 3164 | 839 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 x #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))) |
(if (<=.f64 x #s(literal 2504478220538107/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #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))))) |
(if (<=.f64 x #s(literal 9000000000 binary64)) #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)))) |
(if (<=.f64 x #s(literal 24000000000000000248110900293719159498352934459351750503809715953760220967146811376402658358198272 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) 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) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 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))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 8000000000000000271991933704022596759551797757703184381707445718703002173785606666341932931045867567370469376 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 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 9000000000000000086637831186808832 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)))) |
(if (<=.f64 x #s(literal 9000000000000000086637831186808832 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) #s(literal 1 binary64)) #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 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 x #s(literal 1742245718635205/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) y))) |
(if (<=.f64 x #s(literal 2504478220538107/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (* 2 (sinh (* 3 y))) (sin x)) (* (* 2 x) (+ (* 2 (cosh (* 2 y))) 1))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (sin.f64 x)) x) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -944473296573929/4722366482869645213696 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (/.f64 (sin.f64 x) x) y)) #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))))) |
(if (<=.f64 x #s(literal 9000000000 binary64)) #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)))) |
(if (<=.f64 x #s(literal 24000000000000000248110900293719159498352934459351750503809715953760220967146811376402658358198272 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (sinh.f64 y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (- (exp y) (exp (neg y))) (fma.f64 (*.f64 (*.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)) y) y) 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) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #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 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 #s(approx (/ (* (sin x) (+ (* (+ (* (* y y) 1/120) 1/6) (* y y)) 1)) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 20000000000000001471517476954224996795152124304354913598491715802703518287604380404101359312306176 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))) #s(approx (/ (* (sin x) (sinh y)) x) (*.f64 (-.f64 #s(approx (exp y) #s(literal 1 binary64)) #s(approx (exp (neg y)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 8000000000000000271991933704022596759551797757703184381707445718703002173785606666341932931045867567370469376 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 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 144999999999999996123445272439924789182797871632419536438834522678857929812522034369501799189999591000622630303311486617597612549920655300793795302930873618927812263013630817980397966634394653605231279019524678256296658959496904704 binary64)) #s(approx (/ (* (sin x) (sinh y)) x) #s(approx (* (/ (sin x) x) y) (fma.f64 (*.f64 y #s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))) (*.f64 x x) 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 9000000000000000086637831186808832 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)))) |
(if (<=.f64 x #s(literal 9000000000000000086637831186808832 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) #s(literal 1 binary64)) #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 | 113 | 506 |
| 1 | 434 | 438 |
| 2 | 1692 | 406 |
| 3 | 5247 | 404 |
| 0 | 8163 | 370 |
| 0 | 53 | 349 |
| 0 | 83 | 343 |
| 1 | 290 | 343 |
| 2 | 1962 | 343 |
| 0 | 9444 | 343 |
| 0 | 260 | 1059 |
| 1 | 935 | 1012 |
| 2 | 3320 | 964 |
| 0 | 8234 | 899 |
| 0 | 42 | 205 |
| 0 | 71 | 185 |
| 1 | 218 | 181 |
| 2 | 1469 | 181 |
| 0 | 8111 | 181 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 22 | 16 |
| 2 | 75 | 16 |
| 3 | 436 | 16 |
| 4 | 5695 | 16 |
| 0 | 8184 | 16 |
| 0 | 328 | 1454 |
| 1 | 1234 | 1248 |
| 2 | 4645 | 1113 |
| 0 | 8393 | 1034 |
| 0 | 437 | 2413 |
| 1 | 1680 | 2095 |
| 2 | 6980 | 2023 |
| 0 | 8084 | 1841 |
| 0 | 61 | 378 |
| 0 | 87 | 368 |
| 1 | 295 | 368 |
| 2 | 2003 | 368 |
| 0 | 8500 | 361 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
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| 1× | node limit |
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| 1× | node limit |
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| 1× | iter limit |
| 1× | node limit |
Compiled 1 521 to 798 computations (47.5% saved)
(abs x)
Compiled 1 728 to 406 computations (76.5% saved)
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