
Time bar (total: 7.0s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 822.0ms | 8 256× | 0 | valid |
ival-sin: 304.0ms (52.8% of total)ival-cosh: 115.0ms (20% of total)ival-div: 96.0ms (16.7% of total)ival-mult: 51.0ms (8.9% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 43.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-sin: 16.0ms (53.8% of total)ival-cosh: 6.0ms (20.2% of total)ival-div: 4.0ms (13.4% of total)ival-mult: 3.0ms (10.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 51 | 37 |
| 2 | 170 | 37 |
| 3 | 483 | 37 |
| 4 | 1986 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 40 | 7 |
| 3 | 110 | 7 |
| 4 | 505 | 7 |
| 5 | 3562 | 7 |
| 0 | 8212 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(abs y)
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 40 | 17 |
| 3 | 110 | 17 |
| 4 | 505 | 17 |
| 5 | 3562 | 17 |
| 0 | 8212 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.09765625 | (/.f64 (sin.f64 y) y) |
| 21.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-sin: 6.0ms (46.5% of total)ival-cosh: 3.0ms (23.2% of total)ival-div: 2.0ms (15.5% of total)ival-mult: 2.0ms (15.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1.0ms | x | @ | 0 | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 332 |
| 1 | 320 | 302 |
| 2 | 1435 | 282 |
| 3 | 7647 | 278 |
| 0 | 8263 | 252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(/.f64 (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (sin.f64 y)) y) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 y) (*.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 y)) (/.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
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) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 23 | 15 |
| 2 | 97 | 15 |
| 3 | 695 | 15 |
| 0 | 8297 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (/.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 (cosh.f64 x)) y)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (/.f64 (sin.f64 y) y)) (sinh.f64 x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (/.f64 (sin.f64 y) y)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (sin.f64 y) y)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 4 binary64)) |
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(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (exp.f64 x)))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sinh.f64 x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (sinh.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (sinh.f64 x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 y))) |
(+.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y))) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (PI.f64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
Compiled 4 041 to 712 computations (82.4% 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 |
|---|---|---|
| ▶ | 30.2% | (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) |
| 34.0% | (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x)) | |
| ▶ | 32.0% | (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
| ▶ | 99.5% | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
| 66.8% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 65.3% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 77.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ▶ | 46.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
Compiled 358 to 180 computations (49.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) | |
| cost-diff | 4 | (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) | |
| cost-diff | 6 | (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) | |
| cost-diff | 21 | (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (sinh.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) | |
| cost-diff | 6 | (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 438 |
| 0 | 70 | 399 |
| 1 | 165 | 378 |
| 2 | 728 | 337 |
| 3 | 5177 | 335 |
| 0 | 8294 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(sin.f64 y) |
y |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(cosh.f64 x) |
x |
(sinh.f64 x) |
(sin.f64 y) |
y |
(*.f64 (sinh.f64 x) y) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) |
(+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(sin.f64 y) |
y |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) |
(*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sin.f64 y)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(cosh.f64 x) |
x |
(sinh.f64 x) |
(sin.f64 y) |
y |
(*.f64 (sinh.f64 x) y) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (sinh.f64 (neg.f64 x)))))) |
(+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) y) (sin.f64 y)) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) y) (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (exp.f64 x))) |
(/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (sinh.f64 (neg.f64 x))))) |
(-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 (sin.f64 y) y)) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (/.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (sin.f64 y)) (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) y)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.053066259768442016 | (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) | |
| accuracy | 0.7698607372133307 | (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) | |
| accuracy | 10.382130571705025 | (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) | |
| accuracy | 16.32357950268625 | (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (*.f64 (cosh.f64 x) (sinh.f64 x)) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) | |
| accuracy | 9.124657722979327 | (/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.046875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 1.1610816168328078 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.046875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 1.2420303284195928 | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.0 | (/.f64 (cosh.f64 x) y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.32768918725126617 | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
| 95.0ms | 56× | 1 | valid |
| 94.0ms | 136× | 0 | exit |
| 33.0ms | 29× | 2 | valid |
| 18.0ms | 35× | 0 | valid |
Compiled 424 to 38 computations (91% saved)
ival-exp: 51.0ms (23.9% of total)ival-mult: 43.0ms (20.1% of total)ival-add: 36.0ms (16.8% of total)ival-pow: 35.0ms (16.4% of total)ival-div: 13.0ms (6.1% of total)adjust: 10.0ms (4.7% of total)ival-sin: 10.0ms (4.7% of total)ival-sub: 9.0ms (4.2% of total)ival-cosh: 3.0ms (1.4% of total)ival-sinh: 2.0ms (0.9% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(sin.f64 y) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(pow x 2) |
(* x (sin y)) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y)))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y)))))))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y))))))))))))))) |
x |
(* x (+ 1 (* 2/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2)))))))) |
(* x (- (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
(* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
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(* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (* x (- (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/12 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))))) (* 1/4 (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
(- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
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(* 1/4 (/ (pow (sin y) 3) (pow y 3))) |
(+ (* 1/4 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -3/8 (/ (pow (sin y) 3) (pow y 3))) (* 3/8 (/ (pow (sin y) 3) (pow y 3)))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -3/8 (/ (pow (sin y) 3) (pow y 3))) (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* 9/8 (/ (* x (pow (sin y) 3)) (pow y 3))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -3/8 (/ (pow (sin y) 3) (pow y 3))) (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 9/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -9/16 (/ (pow (sin y) 3) (pow y 3))) (* 9/16 (/ (pow (sin y) 3) (pow y 3))))))))))) |
(* 1/2 (/ (sin y) y)) |
(+ (* -1/2 (/ (* x (sin y)) y)) (* 1/2 (/ (sin y) y))) |
(+ (* 1/2 (/ (sin y) y)) (* x (+ (* -1/2 (/ (sin y) y)) (* 1/4 (/ (* x (sin y)) y))))) |
(+ (* 1/2 (/ (sin y) y)) (* x (+ (* -1/2 (/ (sin y) y)) (* x (+ (* -1/12 (/ (* x (sin y)) y)) (* 1/4 (/ (sin y) y))))))) |
(* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (* 9/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (/ (* (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* 9/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -9/16 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 9/16 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (* 1/3 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2))))))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (+ (/ (* (- (* 9/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (/ (* (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))) (/ (* (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (/ (* (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))))) |
(* 1/4 (/ (pow (sin y) 2) (pow y 2))) |
(+ (* 1/4 (* x (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(+ (* 1/4 (/ (pow (sin y) 2) (pow y 2))) (* x (+ (* 1/4 (* x (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 2) (pow y 2))) (* x (+ (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))) (* x (+ (* 1/4 (* x (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))))) |
(* 1/8 (/ (pow (sin y) 3) (pow y 3))) |
(+ (* 1/8 (/ (pow (sin y) 3) (pow y 3))) (* 3/8 (/ (* x (pow (sin y) 3)) (pow y 3)))) |
(+ (* 1/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* 9/16 (/ (* x (pow (sin y) 3)) (pow y 3)))))) |
(+ (* 1/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 9/16 (/ (* x (pow (sin y) 3)) (pow y 3))) (* 9/16 (/ (pow (sin y) 3) (pow y 3)))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) |
(- (* 1/4 (/ (* (pow (exp (neg x)) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2)))) |
(- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (neg x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2)))) |
(+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (neg x)) 3) (pow (sin y) 3)) (pow y 3)))) |
(* 1/2 (/ (* (exp (neg x)) (sin y)) y)) |
(/ (+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (neg x)) 3) (pow (sin y) 3)) (pow y 3)))) (- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (neg x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2))))) |
(* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2))) |
(* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) |
(- (* 1/4 (/ (* (pow (exp (* -1 x)) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2)))) |
(- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (* -1 x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2)))) |
(+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (* -1 x)) 3) (pow (sin y) 3)) (pow y 3)))) |
(* 1/2 (/ (* (exp (* -1 x)) (sin y)) y)) |
(/ (+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (* -1 x)) 3) (pow (sin y) 3)) (pow y 3)))) (- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (* -1 x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2))))) |
(* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))) |
(- (* 1/4 (pow (exp (neg x)) 2)) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (* -1/12 (pow (exp (neg x)) 2)) (* -1/12 (* (exp x) (exp (neg x))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (* 1/90 (pow (exp (neg x)) 2)) (* 1/90 (* (exp x) (exp (neg x))))))) (* -1/12 (* (exp x) (exp (neg x))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* 1/90 (pow (exp (neg x)) 2)) (* (pow y 2) (- (* -1/1260 (pow (exp (neg x)) 2)) (* -1/1260 (* (exp x) (exp (neg x))))))) (* 1/90 (* (exp x) (exp (neg x))))))) (* -1/12 (* (exp x) (exp (neg x))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp x) 2)) (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))))) (* -1/12 (* (exp x) (exp (neg x)))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp x) 2)) (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* 1/90 (pow (exp x) 2)) (+ (* 1/90 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/1260 (pow (exp x) 2)) (* -1/1260 (pow (exp (neg x)) 2))) (* -1/1260 (* (exp x) (exp (neg x)))))))) (* 1/90 (* (exp x) (exp (neg x)))))))) (* -1/12 (* (exp x) (exp (neg x)))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) |
(+ (* 1/8 (pow (exp x) 3)) (+ (* 1/8 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* -1/16 (pow (exp (neg x)) 3)))))) |
(+ (* 1/8 (pow (exp x) 3)) (+ (* 1/8 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (+ (* -1/16 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* 13/960 (pow (exp x) 3)) (* 13/960 (pow (exp (neg x)) 3))))))))) |
(+ (* 1/8 (pow (exp x) 3)) (+ (* 1/8 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (+ (* -1/16 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* 13/960 (pow (exp x) 3)) (+ (* 13/960 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -41/24192 (pow (exp x) 3)) (* -41/24192 (pow (exp (neg x)) 3)))))))))))) |
(* 1/2 (exp (neg x))) |
(+ (* -1/12 (* (pow y 2) (exp (neg x)))) (* 1/2 (exp (neg x)))) |
(+ (* 1/2 (exp (neg x))) (* (pow y 2) (+ (* -1/12 (exp (neg x))) (* 1/240 (* (pow y 2) (exp (neg x))))))) |
(+ (* 1/2 (exp (neg x))) (* (pow y 2) (+ (* -1/12 (exp (neg x))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (exp (neg x)))) (* 1/240 (exp (neg x)))))))) |
(/ (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))) |
(+ (* 1/8 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 1/8 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))))) |
(+ (* 1/8 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 1/8 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* 13/960 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* 13/960 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))))) |
(+ (* 1/8 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 1/8 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* 13/960 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 13/960 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -41/24192 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -41/24192 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/1260 (pow (exp x) 2)) (* -1/1260 (pow (exp (neg x)) 2))) (* -1/1260 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (+ (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* 13/960 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* 13/960 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))) (/ (* (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))))) |
(* 1/4 (* (exp x) (exp (neg x)))) |
(+ (* -1/12 (* (pow y 2) (* (exp x) (exp (neg x))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(+ (* 1/4 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/12 (* (exp x) (exp (neg x)))) (* 1/90 (* (pow y 2) (* (exp x) (exp (neg x)))))))) |
(+ (* 1/4 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/12 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/1260 (* (pow y 2) (* (exp x) (exp (neg x))))) (* 1/90 (* (exp x) (exp (neg x))))))))) |
(* 1/8 (pow (exp x) 3)) |
(+ (* -1/16 (* (pow y 2) (pow (exp x) 3))) (* 1/8 (pow (exp x) 3))) |
(+ (* 1/8 (pow (exp x) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* 13/960 (* (pow y 2) (pow (exp x) 3)))))) |
(+ (* 1/8 (pow (exp x) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* (pow y 2) (+ (* -41/24192 (* (pow y 2) (pow (exp x) 3))) (* 13/960 (pow (exp x) 3))))))) |
(sin y) |
(/ (- (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))) (pow y 2)) |
(/ (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))) (pow y 2)) |
(/ (+ (* 1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* 1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (pow y 3)) |
(/ (+ (* 1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* 1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (* y (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))))) |
(* -1 (/ (+ (* -1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* -1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (pow y 3))) |
(* -1 (/ (+ (* -1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* -1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (* y (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | y | @ | -inf | ((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))))) (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (* (/ (sin y) y) (/ (exp (neg x)) 2)) (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (pow (* (/ (sin y) y) (/ (exp x) 2)) 3)) |
| 20.0ms | x | @ | inf | ((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))))) (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (* (/ (sin y) y) (/ (exp (neg x)) 2)) (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (pow (* (/ (sin y) y) (/ (exp x) 2)) 3)) |
| 18.0ms | x | @ | -inf | ((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))))) (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (* (/ (sin y) y) (/ (exp (neg x)) 2)) (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (pow (* (/ (sin y) y) (/ (exp x) 2)) 3)) |
| 13.0ms | x | @ | 0 | ((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))))) (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (* (/ (sin y) y) (/ (exp (neg x)) 2)) (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (pow (* (/ (sin y) y) (/ (exp x) 2)) 3)) |
| 11.0ms | y | @ | inf | ((* (sin y) (/ (cosh x) y)) (sin y) (/ (cosh x) y) (cosh x) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (* x x) 1/2) 1) (* x x) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (cosh x) (sinh x)) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))))) (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (* (/ (sin y) y) (/ (exp (neg x)) 2)) (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (pow (* (/ (sin y) y) (/ (exp x) 2)) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 661 | 5713 |
| 1 | 2467 | 3807 |
| 0 | 9357 | 3499 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(pow x 2) |
(* x (sin y)) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y)))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y)))))))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y))))))))))))))) |
x |
(* x (+ 1 (* 2/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2)))))))) |
(* x (- (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
(* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
(* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
(* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (* x (- (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/12 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))))) (* 1/4 (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) |
(- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(- (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* x (- (+ (* x (- (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (* 1/3 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2))))))))) (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(* 1/4 (/ (pow (sin y) 3) (pow y 3))) |
(+ (* 1/4 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -3/8 (/ (pow (sin y) 3) (pow y 3))) (* 3/8 (/ (pow (sin y) 3) (pow y 3)))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -3/8 (/ (pow (sin y) 3) (pow y 3))) (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* 9/8 (/ (* x (pow (sin y) 3)) (pow y 3))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -3/8 (/ (pow (sin y) 3) (pow y 3))) (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 9/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* -9/16 (/ (pow (sin y) 3) (pow y 3))) (* 9/16 (/ (pow (sin y) 3) (pow y 3))))))))))) |
(* 1/2 (/ (sin y) y)) |
(+ (* -1/2 (/ (* x (sin y)) y)) (* 1/2 (/ (sin y) y))) |
(+ (* 1/2 (/ (sin y) y)) (* x (+ (* -1/2 (/ (sin y) y)) (* 1/4 (/ (* x (sin y)) y))))) |
(+ (* 1/2 (/ (sin y) y)) (* x (+ (* -1/2 (/ (sin y) y)) (* x (+ (* -1/12 (/ (* x (sin y)) y)) (* 1/4 (/ (sin y) y))))))) |
(* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (* 9/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (/ (* (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* 9/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* x (- (+ (* -9/16 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 9/16 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/3 (/ (pow (sin y) 2) (pow y 2))) (* 1/3 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2))))))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (+ (/ (* (- (* 9/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (/ (* (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))) (/ (* (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))))) (+ (* 1/4 (/ (* (pow (sin y) 3) (- (/ (pow (sin y) 2) (pow y 2)) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))) (/ (* (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (- (+ (* -3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2))))))) (* 3/8 (/ (pow (sin y) 3) (* (pow y 3) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2)))))) (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))))))))) (* 1/4 (/ (* (pow (sin y) 3) (- (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))))) (* (pow y 3) (pow (- (* 1/2 (/ (pow (sin y) 2) (pow y 2))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) 2))))))) |
(* 1/4 (/ (pow (sin y) 2) (pow y 2))) |
(+ (* 1/4 (* x (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (* 1/4 (/ (pow (sin y) 2) (pow y 2)))) |
(+ (* 1/4 (/ (pow (sin y) 2) (pow y 2))) (* x (+ (* 1/4 (* x (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))) |
(+ (* 1/4 (/ (pow (sin y) 2) (pow y 2))) (* x (+ (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2)))) (* x (+ (* 1/4 (* x (+ (* -1/2 (/ (pow (sin y) 2) (pow y 2))) (+ (* -1/6 (/ (pow (sin y) 2) (pow y 2))) (+ (* 1/6 (/ (pow (sin y) 2) (pow y 2))) (* 1/2 (/ (pow (sin y) 2) (pow y 2)))))))) (* 1/4 (+ (* -1 (/ (pow (sin y) 2) (pow y 2))) (/ (pow (sin y) 2) (pow y 2))))))))) |
(* 1/8 (/ (pow (sin y) 3) (pow y 3))) |
(+ (* 1/8 (/ (pow (sin y) 3) (pow y 3))) (* 3/8 (/ (* x (pow (sin y) 3)) (pow y 3)))) |
(+ (* 1/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* 9/16 (/ (* x (pow (sin y) 3)) (pow y 3)))))) |
(+ (* 1/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 3/8 (/ (pow (sin y) 3) (pow y 3))) (* x (+ (* 9/16 (/ (* x (pow (sin y) 3)) (pow y 3))) (* 9/16 (/ (pow (sin y) 3) (pow y 3)))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) |
(- (* 1/4 (/ (* (pow (exp (neg x)) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2)))) |
(- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (neg x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2)))) |
(+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (neg x)) 3) (pow (sin y) 3)) (pow y 3)))) |
(* 1/2 (/ (* (exp (neg x)) (sin y)) y)) |
(/ (+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (neg x)) 3) (pow (sin y) 3)) (pow y 3)))) (- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (neg x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2))))) |
(* 1/4 (/ (* (exp x) (* (exp (neg x)) (pow (sin y) 2))) (pow y 2))) |
(* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) |
(- (* 1/4 (/ (* (pow (exp (* -1 x)) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2)))) |
(- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (* -1 x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2)))) |
(+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (* -1 x)) 3) (pow (sin y) 3)) (pow y 3)))) |
(* 1/2 (/ (* (exp (* -1 x)) (sin y)) y)) |
(/ (+ (* 1/8 (/ (* (pow (exp x) 3) (pow (sin y) 3)) (pow y 3))) (* 1/8 (/ (* (pow (exp (* -1 x)) 3) (pow (sin y) 3)) (pow y 3)))) (- (+ (* 1/4 (/ (* (pow (exp x) 2) (pow (sin y) 2)) (pow y 2))) (* 1/4 (/ (* (pow (exp (* -1 x)) 2) (pow (sin y) 2)) (pow y 2)))) (* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2))))) |
(* 1/4 (/ (* (exp x) (* (exp (* -1 x)) (pow (sin y) 2))) (pow y 2))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))) |
(- (* 1/4 (pow (exp (neg x)) 2)) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (* -1/12 (pow (exp (neg x)) 2)) (* -1/12 (* (exp x) (exp (neg x))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (* 1/90 (pow (exp (neg x)) 2)) (* 1/90 (* (exp x) (exp (neg x))))))) (* -1/12 (* (exp x) (exp (neg x))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* 1/90 (pow (exp (neg x)) 2)) (* (pow y 2) (- (* -1/1260 (pow (exp (neg x)) 2)) (* -1/1260 (* (exp x) (exp (neg x))))))) (* 1/90 (* (exp x) (exp (neg x))))))) (* -1/12 (* (exp x) (exp (neg x))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp x) 2)) (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))))) (* -1/12 (* (exp x) (exp (neg x)))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(- (+ (* 1/4 (pow (exp x) 2)) (+ (* 1/4 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/12 (pow (exp x) 2)) (+ (* -1/12 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* 1/90 (pow (exp x) 2)) (+ (* 1/90 (pow (exp (neg x)) 2)) (* (pow y 2) (- (+ (* -1/1260 (pow (exp x) 2)) (* -1/1260 (pow (exp (neg x)) 2))) (* -1/1260 (* (exp x) (exp (neg x)))))))) (* 1/90 (* (exp x) (exp (neg x)))))))) (* -1/12 (* (exp x) (exp (neg x)))))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) |
(+ (* 1/8 (pow (exp x) 3)) (+ (* 1/8 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* -1/16 (pow (exp (neg x)) 3)))))) |
(+ (* 1/8 (pow (exp x) 3)) (+ (* 1/8 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (+ (* -1/16 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* 13/960 (pow (exp x) 3)) (* 13/960 (pow (exp (neg x)) 3))))))))) |
(+ (* 1/8 (pow (exp x) 3)) (+ (* 1/8 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (+ (* -1/16 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* 13/960 (pow (exp x) 3)) (+ (* 13/960 (pow (exp (neg x)) 3)) (* (pow y 2) (+ (* -41/24192 (pow (exp x) 3)) (* -41/24192 (pow (exp (neg x)) 3)))))))))))) |
(* 1/2 (exp (neg x))) |
(+ (* -1/12 (* (pow y 2) (exp (neg x)))) (* 1/2 (exp (neg x)))) |
(+ (* 1/2 (exp (neg x))) (* (pow y 2) (+ (* -1/12 (exp (neg x))) (* 1/240 (* (pow y 2) (exp (neg x))))))) |
(+ (* 1/2 (exp (neg x))) (* (pow y 2) (+ (* -1/12 (exp (neg x))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (exp (neg x)))) (* 1/240 (exp (neg x)))))))) |
(/ (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))) |
(+ (* 1/8 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 1/8 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))))) |
(+ (* 1/8 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 1/8 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* 13/960 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* 13/960 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))))) |
(+ (* 1/8 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 1/8 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* 13/960 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (+ (* 13/960 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* (pow y 2) (- (+ (* -41/24192 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -41/24192 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/1260 (pow (exp x) 2)) (* -1/1260 (pow (exp (neg x)) 2))) (* -1/1260 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (+ (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* 13/960 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* 13/960 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))) (/ (* (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))))))) (+ (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* 1/90 (pow (exp x) 2)) (* 1/90 (pow (exp (neg x)) 2))) (* 1/90 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)) (/ (* (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x))))) (- (+ (* -1/16 (/ (pow (exp x) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))) (* -1/16 (/ (pow (exp (neg x)) 3) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x)))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))) (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))))))))) (/ (* (+ (* 1/8 (pow (exp x) 3)) (* 1/8 (pow (exp (neg x)) 3))) (- (+ (* -1/12 (pow (exp x) 2)) (* -1/12 (pow (exp (neg x)) 2))) (* -1/12 (* (exp x) (exp (neg x)))))) (pow (- (+ (* 1/4 (pow (exp x) 2)) (* 1/4 (pow (exp (neg x)) 2))) (* 1/4 (* (exp x) (exp (neg x))))) 2)))))) |
(* 1/4 (* (exp x) (exp (neg x)))) |
(+ (* -1/12 (* (pow y 2) (* (exp x) (exp (neg x))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(+ (* 1/4 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/12 (* (exp x) (exp (neg x)))) (* 1/90 (* (pow y 2) (* (exp x) (exp (neg x)))))))) |
(+ (* 1/4 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/12 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/1260 (* (pow y 2) (* (exp x) (exp (neg x))))) (* 1/90 (* (exp x) (exp (neg x))))))))) |
(* 1/8 (pow (exp x) 3)) |
(+ (* -1/16 (* (pow y 2) (pow (exp x) 3))) (* 1/8 (pow (exp x) 3))) |
(+ (* 1/8 (pow (exp x) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* 13/960 (* (pow y 2) (pow (exp x) 3)))))) |
(+ (* 1/8 (pow (exp x) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* (pow y 2) (+ (* -41/24192 (* (pow y 2) (pow (exp x) 3))) (* 13/960 (pow (exp x) 3))))))) |
(sin y) |
(/ (- (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))) (pow y 2)) |
(/ (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))) (pow y 2)) |
(/ (+ (* 1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* 1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (pow y 3)) |
(/ (+ (* 1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* 1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (* y (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))))) |
(* -1 (/ (+ (* -1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* -1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (pow y 3))) |
(* -1 (/ (+ (* -1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* -1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (* y (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2)))))))) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) x) x (sin.f64 y)) y) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (sin.f64 y))) y) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
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2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/12 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))))) (*.f64 y y) (/.f64 (*.f64 #s(literal -1/16 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -1/12 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) (pow.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)))) (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))))) |
(* 1/4 (* (exp x) (exp (neg x)))) |
#s(literal 1/4 binary64) |
(+ (* -1/12 (* (pow y 2) (* (exp x) (exp (neg x))))) (* 1/4 (* (exp x) (exp (neg x))))) |
(fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/4 binary64)) |
(+ (* 1/4 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/12 (* (exp x) (exp (neg x)))) (* 1/90 (* (pow y 2) (* (exp x) (exp (neg x)))))))) |
(fma.f64 (fma.f64 #s(literal 1/90 binary64) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/4 binary64)) |
(+ (* 1/4 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/12 (* (exp x) (exp (neg x)))) (* (pow y 2) (+ (* -1/1260 (* (pow y 2) (* (exp x) (exp (neg x))))) (* 1/90 (* (exp x) (exp (neg x))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1260 binary64) (*.f64 y y) #s(literal 1/90 binary64)) (*.f64 y y) #s(literal -1/12 binary64)) (*.f64 y y) #s(literal 1/4 binary64)) |
(* 1/8 (pow (exp x) 3)) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(+ (* -1/16 (* (pow y 2) (pow (exp x) 3))) (* 1/8 (pow (exp x) 3))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (*.f64 y y) #s(literal 1/8 binary64))) |
(+ (* 1/8 (pow (exp x) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* 13/960 (* (pow y 2) (pow (exp x) 3)))))) |
(fma.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 13/960 binary64) (*.f64 y y) #s(literal -1/16 binary64))) (*.f64 y y) (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) |
(+ (* 1/8 (pow (exp x) 3)) (* (pow y 2) (+ (* -1/16 (pow (exp x) 3)) (* (pow y 2) (+ (* -41/24192 (* (pow y 2) (pow (exp x) 3))) (* 13/960 (pow (exp x) 3))))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (*.f64 y y) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -41/24192 binary64) (*.f64 y y) #s(literal 13/960 binary64))) (*.f64 y y)) (*.f64 y y))) |
(sin y) |
(sin.f64 y) |
(/ (- (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))) (pow y 2)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) y)) |
(/ (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))) (pow y 2)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) (*.f64 y y)) |
(/ (+ (* 1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* 1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (pow y 3)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
(/ (+ (* 1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* 1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (* y (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2))))))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) y)) |
(* -1 (/ (+ (* -1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* -1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (pow y 3))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
(* -1 (/ (+ (* -1/8 (* (pow (exp x) 3) (pow (sin y) 3))) (* -1/8 (* (pow (exp (neg x)) 3) (pow (sin y) 3)))) (* y (- (+ (* 1/4 (* (pow (exp x) 2) (pow (sin y) 2))) (* 1/4 (* (pow (exp (neg x)) 2) (pow (sin y) 2)))) (* 1/4 (* (exp x) (* (exp (neg x)) (pow (sin y) 2)))))))) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 343 |
| 0 | 70 | 235 |
| 1 | 253 | 219 |
| 2 | 2361 | 202 |
| 0 | 8773 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(sin.f64 y) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
(*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 8 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 8 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (cosh.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (sin.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 (neg.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (sin.f64 y)) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y)))) |
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(sin.f64 y) |
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(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
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(/.f64 (sin.f64 y) y) |
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(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y))) |
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(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
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(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
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(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) (/.f64 (*.f64 (sinh.f64 x) (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y) (/.f64 (sin.f64 y) (sinh.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) (sinh.f64 x)) (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x))) |
(*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x))) |
(*.f64 (/.f64 (cosh.f64 x) y) (/.f64 (*.f64 (sinh.f64 x) (sin.f64 y)) (sinh.f64 x))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (sinh.f64 x) (sin.f64 y)) (*.f64 (sinh.f64 x) y))) |
(*.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y))) (neg.f64 y)) |
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(/.f64 (/.f64 (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sin.f64 y)) y) (sinh.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) (sinh.f64 x)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x)) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) y) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x)))) (neg.f64 y)) |
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(/.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x))) y) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) (sin.f64 y))) (*.f64 (neg.f64 y) (sinh.f64 x))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
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(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (sinh.f64 x)) |
(*.f64 (*.f64 (sinh.f64 x) (sin.f64 y)) (cosh.f64 x)) |
(*.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sin.f64 y)) |
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(*.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) (sin.f64 y))) |
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sin.f64 y))) #s(literal 2 binary64)) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
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(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64))) (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64))) (fabs.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (fabs.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))))) |
(*.f64 (fabs.f64 (/.f64 (sin.f64 y) y)) (fabs.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (fabs.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))) |
(*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))) |
(*.f64 (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)))) |
(pow.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (exp.f64 x) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (sin.f64 y)))) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) #s(literal -8 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 x) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (exp.f64 x) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)))) (*.f64 (fabs.f64 y) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (sin.f64 y)))) (*.f64 (fabs.f64 y) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 3 binary64))) (fabs.f64 (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (fabs.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) #s(literal 8 binary64)) |
(/.f64 (fabs.f64 (pow.f64 (*.f64 (exp.f64 x) (sin.f64 y)) #s(literal 3 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 (exp.f64 x))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (exp.f64 x)) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (neg.f64 (exp.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (exp.f64 x) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (exp.f64 x) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (fabs.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fabs.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (fabs.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (fabs.f64 (*.f64 (exp.f64 x) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fabs.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (exp.f64 x) (sin.f64 y)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y))) y) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (exp.f64 x) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 6 binary64))) |
(fabs.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64) (*.f64 (log.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))))) |
Compiled 139 088 to 6 397 computations (95.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 744 | 11 | 1 755 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 748 | 15 | 1 763 |
| Status | Accuracy | Program |
|---|---|---|
| 62.9% | (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) | |
| 32.4% | (/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) | |
| ▶ | 45.2% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
| 46.2% | (*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) | |
| ▶ | 66.8% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 65.3% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 77.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 52.4% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 53.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 51.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 28.6% | #s(approx (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) y))) | |
| ✓ | 46.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
| ▶ | 35.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| 35.5% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 30.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
Compiled 790 to 450 computations (43% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) | |
| cost-diff | 6 | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 303 |
| 0 | 59 | 303 |
| 1 | 108 | 303 |
| 2 | 292 | 303 |
| 3 | 942 | 299 |
| 4 | 3984 | 297 |
| 0 | 9165 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(sinh.f64 x) |
x |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(cosh.f64 x) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x)) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x)) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(/.f64 (sin.f64 y) (*.f64 (sinh.f64 x) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(sinh.f64 x) |
x |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(cosh.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (sinh.f64 x) (cosh.f64 x)) | |
| accuracy | 0.046875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.05078125 | (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) | |
| accuracy | 0.9214391872512662 | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (cosh.f64 x) | |
| accuracy | 0.03125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 13.673007774641949 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) | |
| accuracy | 0.2475204795147259 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 1.2420303284195928 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 13.724034213012619 | #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.03125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 1.2420303284195928 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 13.673007774641949 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) | |
| accuracy | 13.743600327349705 | #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
| 86.0ms | 136× | 0 | exit |
| 36.0ms | 120× | 0 | valid |
Compiled 214 to 31 computations (85.5% saved)
ival-add: 26.0ms (34.7% of total)ival-mult: 18.0ms (24% of total)const: 11.0ms (14.7% of total)ival-sin: 6.0ms (8% of total)ival-cosh: 5.0ms (6.7% of total)ival-div: 3.0ms (4% of total)ival-sub: 2.0ms (2.7% of total)ival-sinh: 2.0ms (2.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cosh.f64 x) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
| Outputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) (* x y)) |
(/ (+ (* -1/6 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) x) |
(/ (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y))))) (* 1/6 (/ (sin y) y)))) (/ (sin y) y)) x) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/6 (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y)))) (+ (* -1/720 (/ (sin y) y)) (* 1/5040 (/ (sin y) y)))))) (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y))))) (* 1/6 (/ (sin y) y)))) (/ (sin y) y)) x) |
x |
(* x (+ 1 (* 2/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2)))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (/ (sin y) (* y (- (exp x) (/ 1 (exp x)))))) |
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(pow y 2) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(+ (* -1/3 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(+ (* (pow y 2) (- (* 1/60 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 1/3 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/2520 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 1/60 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 1/3 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/120 (pow y 2)) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(sin y) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* y y)) 1) (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* (cosh x) (/ (sin y) y)) (* (/ (/ (sin y) y) (sinh x)) (* (sinh x) (cosh x))) (/ (/ (sin y) y) (sinh x)) (/ (sin y) y) (sin y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* -1/5040 (* y y)) 1/120) (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) (* (sinh x) (cosh x))) |
| 4.0ms | y | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* y y)) 1) (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* (cosh x) (/ (sin y) y)) (* (/ (/ (sin y) y) (sinh x)) (* (sinh x) (cosh x))) (/ (/ (sin y) y) (sinh x)) (/ (sin y) y) (sin y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* -1/5040 (* y y)) 1/120) (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) (* (sinh x) (cosh x))) |
| 3.0ms | x | @ | inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* y y)) 1) (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* (cosh x) (/ (sin y) y)) (* (/ (/ (sin y) y) (sinh x)) (* (sinh x) (cosh x))) (/ (/ (sin y) y) (sinh x)) (/ (sin y) y) (sin y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* -1/5040 (* y y)) 1/120) (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) (* (sinh x) (cosh x))) |
| 3.0ms | x | @ | -inf | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* y y)) 1) (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* (cosh x) (/ (sin y) y)) (* (/ (/ (sin y) y) (sinh x)) (* (sinh x) (cosh x))) (/ (/ (sin y) y) (sinh x)) (/ (sin y) y) (sin y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* -1/5040 (* y y)) 1/120) (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) (* (sinh x) (cosh x))) |
| 2.0ms | y | @ | 0 | ((* (cosh x) (/ (sin y) y)) (cosh x) (/ (sin y) y) (+ (* (- (* 1/120 (* y y)) 1/6) (* y y)) 1) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* y y)) 1) (- (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) 1/6) (* (cosh x) (/ (sin y) y)) (* (/ (/ (sin y) y) (sinh x)) (* (sinh x) (cosh x))) (/ (/ (sin y) y) (sinh x)) (/ (sin y) y) (sin y) (* 1/120 (* y y)) (- (* 1/120 (* y y)) 1/6) (+ (* -1/5040 (* y y)) 1/120) (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) (* (sinh x) (cosh x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 830 |
| 1 | 667 | 779 |
| 2 | 2703 | 734 |
| 0 | 8403 | 687 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ (sin y) (* x y)) |
(/ (+ (* -1/6 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) x) |
(/ (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y))))) (* 1/6 (/ (sin y) y)))) (/ (sin y) y)) x) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/6 (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y)))) (+ (* -1/720 (/ (sin y) y)) (* 1/5040 (/ (sin y) y)))))) (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y))))) (* 1/6 (/ (sin y) y)))) (/ (sin y) y)) x) |
x |
(* x (+ 1 (* 2/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2)))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (/ (sin y) (* y (- (exp x) (/ 1 (exp x)))))) |
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(pow y 2) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(+ (* -1/3 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(+ (* (pow y 2) (- (* 1/60 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 1/3 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/2520 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 1/60 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 1/3 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* 1/120 (pow y 2)) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 4)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(sin y) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(/ (sin y) (* x y)) |
(/.f64 (/.f64 (sin.f64 y) y) x) |
(/ (+ (* -1/6 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sin.f64 y)) (*.f64 y x)) |
(/ (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y))))) (* 1/6 (/ (sin y) y)))) (/ (sin y) y)) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 7/360 binary64) (/.f64 (sin.f64 y) y)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 y) y))) (*.f64 x x) (/.f64 (sin.f64 y) y)) x) |
(/ (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/6 (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y)))) (+ (* -1/720 (/ (sin y) y)) (* 1/5040 (/ (sin y) y)))))) (+ (* -1/36 (/ (sin y) y)) (* 1/120 (/ (sin y) y))))) (* 1/6 (/ (sin y) y)))) (/ (sin y) y)) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 31/15120 binary64)) x) (neg.f64 x) (*.f64 #s(literal 7/360 binary64) (/.f64 (sin.f64 y) y))) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 y) y))) (*.f64 x x) (/.f64 (sin.f64 y) y)) x) |
x |
(* x (+ 1 (* 2/3 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64) x) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/15 (* 4/315 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 2 (/ (sin y) (* y (- (exp x) (/ 1 (exp x)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) y)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 y y) #s(literal -1/12 binary64))) (*.f64 y y) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6) |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) |
(/ 2 (- (exp x) (/ 1 (exp x)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+ (* -1/3 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+ (* (pow y 2) (- (* 1/60 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 1/3 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) y) y #s(literal -1/3 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y y) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/2520 (/ (pow y 2) (- (exp x) (/ 1 (exp x))))) (* 1/60 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 1/3 (/ 1 (- (exp x) (/ 1 (exp x))))))) (* 2 (/ 1 (- (exp x) (/ 1 (exp x)))))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 y y) #s(literal 1/60 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 y y)) (*.f64 y y) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
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) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(* -1/5040 (pow y 6)) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64))) |
(* -1/5040 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(sin y) |
(sin.f64 y) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) y) |
(* -1/5040 (pow y 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 244 |
| 0 | 59 | 244 |
| 1 | 187 | 244 |
| 2 | 1195 | 238 |
| 0 | 8291 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(cosh.f64 x) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) (cosh.f64 x))) (sinh.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) (cosh.f64 x)) (sinh.f64 x)) |
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)))) (*.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y))) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y)) #s(literal -1 binary64)))) |
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#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
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(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal 1/6 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
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(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y)))) |
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(*.f64 (neg.f64 (neg.f64 y)) y) |
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(*.f64 y y) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) #s(literal 1/1728000 binary64))) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/5040 binary64) y) (neg.f64 y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal 1/5040 binary64) y) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) y) #s(literal 1/120 binary64)) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/604800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1/604800 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/5040 binary64) y)) y)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) |
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) |
(*.f64 y (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 y y)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (*.f64 y y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) |
(*.f64 (sinh.f64 x) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (sinh.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) |
(-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
Compiled 22 138 to 2 525 computations (88.6% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 11 | 652 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 645 | 22 | 667 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.9% | (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
| ▶ | 32.4% | (/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
| 44.7% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) #s(approx (cosh x) #s(literal 1 binary64)))) | |
| 46.2% | (*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) | |
| ✓ | 66.8% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 65.3% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 31.6% | (*.f64 #s(approx (/ (/ (sin y) y) (sinh x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sin.f64 y)) (*.f64 y x))) (*.f64 (sinh.f64 x) (cosh.f64 x))) | |
| 62.4% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ▶ | 61.4% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 59.5% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 58.4% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 77.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 53.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 51.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 28.6% | #s(approx (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) y))) | |
| ✓ | 46.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
| 35.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 35.5% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 30.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ✓ | 30.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 29.3% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
| ▶ | 6.7% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
Compiled 1 167 to 693 computations (40.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) | |
| cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) | |
| cost-diff | 1 | (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) | |
| cost-diff | 7 | (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) | |
| cost-diff | 10 | (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 421 |
| 0 | 90 | 421 |
| 1 | 169 | 419 |
| 2 | 522 | 395 |
| 3 | 2813 | 393 |
| 0 | 8437 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) |
(/.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(sin.f64 y) |
y |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) |
(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 y (*.f64 #s(literal 2 binary64) y)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
#s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 (sinh.f64 x) y) |
(sinh.f64 x) |
| Outputs |
|---|
(/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (sin.f64 y)) y) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 2 binary64)) (exp.f64 x)) |
(/.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(sin.f64 y) |
y |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) |
(*.f64 (/.f64 y (exp.f64 x)) (sin.f64 y)) |
(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(/.f64 (sin.f64 y) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 y (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) y) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
#s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 (sinh.f64 x) y) |
(sinh.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0390625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 1.2591901513278583 | #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 9.124657722979327 | (/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 0.03125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 1.1296296433246615 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 13.673007774641949 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.21559000835577377 | (/.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| accuracy | 1.2420303284195928 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) | |
| accuracy | 8.687912810915664 | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) | |
| accuracy | 13.673007774641949 | #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 1.2420303284195928 | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) | |
| accuracy | 13.673007774641949 | #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) | |
| accuracy | 15.637755498956519 | #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) | |
| accuracy | 0.05078125 | (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) | |
| accuracy | 15.448588613233445 | (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
| 83.0ms | 120× | 0 | valid |
| 53.0ms | 136× | 0 | exit |
Compiled 284 to 48 computations (83.1% saved)
ival-mult: 56.0ms (56.4% of total)const: 11.0ms (11.1% of total)ival-div: 9.0ms (9.1% of total)ival-add: 6.0ms (6% of total)ival-sin: 6.0ms (6% of total)ival-exp: 4.0ms (4% of total)ival-cosh: 3.0ms (3% of total)ival-sinh: 2.0ms (2% of total)ival-sub: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) |
(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
#s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (* x (+ (* -1 (/ (sin y) y)) (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* x (+ (* 1/2 (+ (* -1 (/ (sin y) y)) (/ (sin y) y))) (* 1/2 (/ (* x (sin y)) y)))) (/ (sin y) y)) |
(+ (* x (+ (* 1/2 (+ (* -1 (/ (sin y) y)) (/ (sin y) y))) (* x (+ (* 1/2 (* x (+ (* -1/6 (/ (sin y) y)) (* 1/6 (/ (sin y) y))))) (* 1/2 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 2 (* y (sin y))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (* y (sin y))))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (+ (* x (* y (sin y))) (* y (sin y)))))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (+ (* x (+ (* x (+ (* -1/6 (* y (sin y))) (* 1/6 (* y (sin y))))) (* y (sin y)))) (* y (sin y)))))) |
(sin y) |
(+ (sin y) (* -1 (* x (sin y)))) |
(+ (sin y) (* x (+ (* -1 (sin y)) (* 1/2 (* x (sin y)))))) |
(+ (sin y) (* x (+ (* -1 (sin y)) (* x (+ (* -1/6 (* x (sin y))) (* 1/2 (sin y))))))) |
(* 1/2 (sin y)) |
(+ (* 1/2 (sin y)) (* 1/2 (* x (sin y)))) |
(+ (* 1/2 (sin y)) (* x (+ (* 1/4 (* x (sin y))) (* 1/2 (sin y))))) |
(+ (* 1/2 (sin y)) (* x (+ (* 1/2 (sin y)) (* x (+ (* 1/12 (* x (sin y))) (* 1/4 (sin y))))))) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* x (sin y)) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y)))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y)))))))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y))))))))))))))) |
(* y (sin y)) |
(+ (* -1 (* x (* y (sin y)))) (* y (sin y))) |
(+ (* x (+ (* -1 (* y (sin y))) (* 1/2 (* x (* y (sin y)))))) (* y (sin y))) |
(+ (* x (+ (* -1 (* y (sin y))) (* x (+ (* -1/6 (* x (* y (sin y)))) (* 1/2 (* y (sin y))))))) (* y (sin y))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (+ (* y (* (exp x) (sin y))) (* y (* (exp (neg x)) (sin y)))) (pow y 2))) |
(+ (* y (* (exp x) (sin y))) (* y (* (exp (neg x)) (sin y)))) |
(* (exp (neg x)) (sin y)) |
(* 1/2 (* (exp x) (sin y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* y (* (exp (neg x)) (sin y))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 (/ (+ (* y (* (exp x) (sin y))) (* y (* (exp (* -1 x)) (sin y)))) (pow y 2))) |
(+ (* y (* (exp x) (sin y))) (* y (* (exp (* -1 x)) (sin y)))) |
(* (exp (* -1 x)) (sin y)) |
(* y (* (exp (* -1 x)) (sin y))) |
(* 1/2 (+ (exp x) (exp (neg x)))) |
(+ (* 1/2 (* (pow y 2) (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))) (* 1/2 (+ (exp x) (exp (neg x))))) |
(+ (* 1/2 (+ (exp x) (exp (neg x)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x)))))) (* 1/2 (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))))) |
(+ (* 1/2 (+ (exp x) (exp (neg x)))) (* (pow y 2) (+ (* 1/2 (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x))))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (+ (* -1/5040 (exp x)) (* -1/5040 (exp (neg x)))))) (* 1/2 (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x)))))))))) |
(* (pow y 2) (+ (exp x) (exp (neg x)))) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))))) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x))))))))))) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* 1/120 (exp x)) (+ (* 1/120 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (exp x)) (* -1/5040 (exp (neg x)))))))))))))) |
(* y (exp (neg x))) |
(* y (+ (exp (neg x)) (* -1/6 (* (pow y 2) (exp (neg x)))))) |
(* y (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* 1/120 (* (pow y 2) (exp (neg x)))))))) |
(* y (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (exp (neg x)))) (* 1/120 (exp (neg x))))))))) |
(* 1/2 (* y (exp x))) |
(* y (+ (* -1/12 (* (pow y 2) (exp x))) (* 1/2 (exp x)))) |
(* y (+ (* 1/2 (exp x)) (* (pow y 2) (+ (* -1/12 (exp x)) (* 1/240 (* (pow y 2) (exp x))))))) |
(* y (+ (* 1/2 (exp x)) (* (pow y 2) (+ (* -1/12 (exp x)) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (exp x))) (* 1/240 (exp x)))))))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 (pow y 2)) |
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* (pow y 2) (exp (neg x))) |
(* (pow y 2) (+ (exp (neg x)) (* -1/6 (* (pow y 2) (exp (neg x)))))) |
(* (pow y 2) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* 1/120 (* (pow y 2) (exp (neg x)))))))) |
(* (pow y 2) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (exp (neg x)))) (* 1/120 (exp (neg x))))))))) |
(/ 1 y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/ 1 (pow y 2)) |
(* 1/2 (/ (+ (* (exp x) (sin y)) (* (exp (neg x)) (sin y))) y)) |
(* y (+ (* (exp x) (sin y)) (* (exp (neg x)) (sin y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 y) |
(* y (- (/ 1 (pow y 2)) 1/6)) |
(* -1/2 (/ (+ (* -1 (* (exp x) (sin y))) (* -1 (* (exp (neg x)) (sin y)))) y)) |
(* -1 (* y (+ (* -1 (* (exp x) (sin y))) (* -1 (* (exp (neg x)) (sin y)))))) |
(* -1 (* y (- 1/6 (/ 1 (pow y 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | -inf | ((/ (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* y (* 2 y))) (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* (exp (neg x)) (sin y)) (* (/ (exp x) 2) (sin y)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (sin y) x) (sin y) (* y (* (exp (neg x)) (sin y))) (* (- (/ 1 (* y y)) 1/6) y) (/ 1 (* y y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 6.0ms | y | @ | -inf | ((/ (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* y (* 2 y))) (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* (exp (neg x)) (sin y)) (* (/ (exp x) 2) (sin y)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (sin y) x) (sin y) (* y (* (exp (neg x)) (sin y))) (* (- (/ 1 (* y y)) 1/6) y) (/ 1 (* y y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | x | @ | inf | ((/ (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* y (* 2 y))) (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* (exp (neg x)) (sin y)) (* (/ (exp x) 2) (sin y)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (sin y) x) (sin y) (* y (* (exp (neg x)) (sin y))) (* (- (/ 1 (* y y)) 1/6) y) (/ 1 (* y y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | y | @ | inf | ((/ (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* y (* 2 y))) (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* (exp (neg x)) (sin y)) (* (/ (exp x) 2) (sin y)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (sin y) x) (sin y) (* y (* (exp (neg x)) (sin y))) (* (- (/ 1 (* y y)) 1/6) y) (/ 1 (* y y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | y | @ | 0 | ((/ (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* y (* 2 y))) (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (* (exp (neg x)) (sin y)) (* (/ (exp x) 2) (sin y)) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* y y) -1/6) (* (cosh x) (/ (sin y) y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* (* (- (/ 1 (* y y)) 1/6) y) y) (* (cosh x) (/ (sin y) y)) (cosh x) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (/ (* (* (cosh x) (sinh x)) (sin y)) (* (sinh x) y)) (* (* (cosh x) (sinh x)) (sin y)) (* (sin y) x) (sin y) (* y (* (exp (neg x)) (sin y))) (* (- (/ 1 (* y y)) 1/6) y) (/ 1 (* y y)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 1818 |
| 1 | 1661 | 1565 |
| 2 | 7849 | 1555 |
| 0 | 8041 | 1448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (* x (+ (* -1 (/ (sin y) y)) (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* x (+ (* 1/2 (+ (* -1 (/ (sin y) y)) (/ (sin y) y))) (* 1/2 (/ (* x (sin y)) y)))) (/ (sin y) y)) |
(+ (* x (+ (* 1/2 (+ (* -1 (/ (sin y) y)) (/ (sin y) y))) (* x (+ (* 1/2 (* x (+ (* -1/6 (/ (sin y) y)) (* 1/6 (/ (sin y) y))))) (* 1/2 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 2 (* y (sin y))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (* y (sin y))))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (+ (* x (* y (sin y))) (* y (sin y)))))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (+ (* x (+ (* x (+ (* -1/6 (* y (sin y))) (* 1/6 (* y (sin y))))) (* y (sin y)))) (* y (sin y)))))) |
(sin y) |
(+ (sin y) (* -1 (* x (sin y)))) |
(+ (sin y) (* x (+ (* -1 (sin y)) (* 1/2 (* x (sin y)))))) |
(+ (sin y) (* x (+ (* -1 (sin y)) (* x (+ (* -1/6 (* x (sin y))) (* 1/2 (sin y))))))) |
(* 1/2 (sin y)) |
(+ (* 1/2 (sin y)) (* 1/2 (* x (sin y)))) |
(+ (* 1/2 (sin y)) (* x (+ (* 1/4 (* x (sin y))) (* 1/2 (sin y))))) |
(+ (* 1/2 (sin y)) (* x (+ (* 1/2 (sin y)) (* x (+ (* 1/12 (* x (sin y))) (* 1/4 (sin y))))))) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* x (sin y)) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y)))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y)))))))))) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y))))))))))))))) |
(* y (sin y)) |
(+ (* -1 (* x (* y (sin y)))) (* y (sin y))) |
(+ (* x (+ (* -1 (* y (sin y))) (* 1/2 (* x (* y (sin y)))))) (* y (sin y))) |
(+ (* x (+ (* -1 (* y (sin y))) (* x (+ (* -1/6 (* x (* y (sin y)))) (* 1/2 (* y (sin y))))))) (* y (sin y))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (+ (* y (* (exp x) (sin y))) (* y (* (exp (neg x)) (sin y)))) (pow y 2))) |
(+ (* y (* (exp x) (sin y))) (* y (* (exp (neg x)) (sin y)))) |
(* (exp (neg x)) (sin y)) |
(* 1/2 (* (exp x) (sin y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* y (* (exp (neg x)) (sin y))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 (/ (+ (* y (* (exp x) (sin y))) (* y (* (exp (* -1 x)) (sin y)))) (pow y 2))) |
(+ (* y (* (exp x) (sin y))) (* y (* (exp (* -1 x)) (sin y)))) |
(* (exp (* -1 x)) (sin y)) |
(* y (* (exp (* -1 x)) (sin y))) |
(* 1/2 (+ (exp x) (exp (neg x)))) |
(+ (* 1/2 (* (pow y 2) (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))) (* 1/2 (+ (exp x) (exp (neg x))))) |
(+ (* 1/2 (+ (exp x) (exp (neg x)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x)))))) (* 1/2 (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))))) |
(+ (* 1/2 (+ (exp x) (exp (neg x)))) (* (pow y 2) (+ (* 1/2 (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x))))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (+ (* -1/5040 (exp x)) (* -1/5040 (exp (neg x)))))) (* 1/2 (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x)))))))))) |
(* (pow y 2) (+ (exp x) (exp (neg x)))) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))))) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x))))))))))) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* 1/120 (exp x)) (+ (* 1/120 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (exp x)) (* -1/5040 (exp (neg x)))))))))))))) |
(* y (exp (neg x))) |
(* y (+ (exp (neg x)) (* -1/6 (* (pow y 2) (exp (neg x)))))) |
(* y (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* 1/120 (* (pow y 2) (exp (neg x)))))))) |
(* y (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (exp (neg x)))) (* 1/120 (exp (neg x))))))))) |
(* 1/2 (* y (exp x))) |
(* y (+ (* -1/12 (* (pow y 2) (exp x))) (* 1/2 (exp x)))) |
(* y (+ (* 1/2 (exp x)) (* (pow y 2) (+ (* -1/12 (exp x)) (* 1/240 (* (pow y 2) (exp x))))))) |
(* y (+ (* 1/2 (exp x)) (* (pow y 2) (+ (* -1/12 (exp x)) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (exp x))) (* 1/240 (exp x)))))))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -1/6 (pow y 2)) |
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* (pow y 2) (exp (neg x))) |
(* (pow y 2) (+ (exp (neg x)) (* -1/6 (* (pow y 2) (exp (neg x)))))) |
(* (pow y 2) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* 1/120 (* (pow y 2) (exp (neg x)))))))) |
(* (pow y 2) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (exp (neg x)))) (* 1/120 (exp (neg x))))))))) |
(/ 1 y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/ 1 (pow y 2)) |
(* 1/2 (/ (+ (* (exp x) (sin y)) (* (exp (neg x)) (sin y))) y)) |
(* y (+ (* (exp x) (sin y)) (* (exp (neg x)) (sin y)))) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 y) |
(* y (- (/ 1 (pow y 2)) 1/6)) |
(* -1/2 (/ (+ (* -1 (* (exp x) (sin y))) (* -1 (* (exp (neg x)) (sin y)))) y)) |
(* -1 (* y (+ (* -1 (* (exp x) (sin y))) (* -1 (* (exp (neg x)) (sin y)))))) |
(* -1 (* y (- 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (* x (+ (* -1 (/ (sin y) y)) (/ (sin y) y)))) (/ (sin y) y)) |
(fma.f64 #s(literal 0 binary64) x (/.f64 (sin.f64 y) y)) |
(+ (* x (+ (* 1/2 (+ (* -1 (/ (sin y) y)) (/ (sin y) y))) (* 1/2 (/ (* x (sin y)) y)))) (/ (sin y) y)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) x (/.f64 (sin.f64 y) y)) |
(+ (* x (+ (* 1/2 (+ (* -1 (/ (sin y) y)) (/ (sin y) y))) (* x (+ (* 1/2 (* x (+ (* -1/6 (/ (sin y) y)) (* 1/6 (/ (sin y) y))))) (* 1/2 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) x #s(literal 0 binary64)) x (/.f64 (sin.f64 y) y)) |
(* 2 (* y (sin y))) |
(*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (* y (sin y))))) |
(fma.f64 #s(literal 0 binary64) x (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (+ (* x (* y (sin y))) (* y (sin y)))))) |
(fma.f64 (fma.f64 (*.f64 (sin.f64 y) y) x #s(literal 0 binary64)) x (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) |
(+ (* 2 (* y (sin y))) (* x (+ (* -1 (* y (sin y))) (+ (* x (+ (* x (+ (* -1/6 (* y (sin y))) (* 1/6 (* y (sin y))))) (* y (sin y)))) (* y (sin y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (sin.f64 y) y)) x #s(literal 0 binary64)) x (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* -1 (* x (sin y)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (sin.f64 y)) |
(+ (sin y) (* x (+ (* -1 (sin y)) (* 1/2 (* x (sin y)))))) |
(fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (sin.f64 y)) |
(+ (sin y) (* x (+ (* -1 (sin y)) (* x (+ (* -1/6 (* x (sin y))) (* 1/2 (sin y))))))) |
(fma.f64 (fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x (neg.f64 (sin.f64 y))) x (sin.f64 y)) |
(* 1/2 (sin y)) |
(*.f64 #s(literal 1/2 binary64) (sin.f64 y)) |
(+ (* 1/2 (sin y)) (* 1/2 (* x (sin y)))) |
(*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) |
(+ (* 1/2 (sin y)) (* x (+ (* 1/4 (* x (sin y))) (* 1/2 (sin y))))) |
(fma.f64 (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64))) x (*.f64 #s(literal 1/2 binary64) (sin.f64 y))) |
(+ (* 1/2 (sin y)) (* x (+ (* 1/2 (sin y)) (* x (+ (* 1/12 (* x (sin y))) (* 1/4 (sin y))))))) |
(fma.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (sin.f64 y) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/4 binary64))))) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) x) x (sin.f64 y)) y) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sin.f64 y) x) x) (*.f64 #s(literal 1/2 binary64) (sin.f64 y))) y) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 y) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 (sin.f64 y) x) x))) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (* 1/2 (sin y)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 y) x) x) #s(literal 2/3 binary64) (sin.f64 y)) x) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (* 1/12 (sin y)))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 2/15 binary64)) x) x (*.f64 #s(literal 2/3 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (* (pow x 2) (+ (* 1/6 (sin y)) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/120 (sin y)) (+ (* 1/24 (sin y)) (+ (* 1/12 (sin y)) (* (pow x 2) (+ (* 1/5040 (sin y)) (+ (* 1/720 (sin y)) (+ (* 1/240 (sin y)) (* 1/144 (sin y))))))))))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/3 binary64) (sin.f64 y) (*.f64 (fma.f64 (sin.f64 y) #s(literal 2/15 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/5040 binary64) (sin.f64 y) (*.f64 (sin.f64 y) #s(literal 1/80 binary64))) x) x)) (*.f64 x x))) (*.f64 (sin.f64 y) x)) |
(* y (sin y)) |
(*.f64 (sin.f64 y) y) |
(+ (* -1 (* x (* y (sin y)))) (* y (sin y))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (sin.f64 y) y)) |
(+ (* x (+ (* -1 (* y (sin y))) (* 1/2 (* x (* y (sin y)))))) (* y (sin y))) |
(fma.f64 (*.f64 (*.f64 (sin.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x (*.f64 (sin.f64 y) y)) |
(+ (* x (+ (* -1 (* y (sin y))) (* x (+ (* -1/6 (* x (* y (sin y)))) (* 1/2 (* y (sin y))))))) (* y (sin y))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (sin.f64 y) y) (*.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) y) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) x) x)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (+ (* y (* (exp x) (sin y))) (* y (* (exp (neg x)) (sin y)))) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (sin.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(+ (* y (* (exp x) (sin y))) (* y (* (exp (neg x)) (sin y)))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (sin.f64 y)) |
(* (exp (neg x)) (sin y)) |
(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(* 1/2 (* (exp x) (sin y))) |
(*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (sin.f64 y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/4 (* (sin y) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 y)) #s(literal 1/4 binary64)) |
(* y (* (exp (neg x)) (sin y))) |
(*.f64 (/.f64 y (exp.f64 x)) (sin.f64 y)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x) |
(* 1/2 (/ (+ (* y (* (exp x) (sin y))) (* y (* (exp (* -1 x)) (sin y)))) (pow y 2))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (sin.f64 y)) (*.f64 y y)) #s(literal 1/2 binary64)) |
(+ (* y (* (exp x) (sin y))) (* y (* (exp (* -1 x)) (sin y)))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (sin.f64 y)) |
(* (exp (* -1 x)) (sin y)) |
(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(* y (* (exp (* -1 x)) (sin y))) |
(*.f64 (/.f64 y (exp.f64 x)) (sin.f64 y)) |
(* 1/2 (+ (exp x) (exp (neg x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(+ (* 1/2 (* (pow y 2) (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))) (* 1/2 (+ (exp x) (exp (neg x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (exp (neg x)))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x)))))) (* 1/2 (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+ (* 1/2 (+ (exp x) (exp (neg x)))) (* (pow y 2) (+ (* 1/2 (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x))))) (* (pow y 2) (+ (* 1/2 (* (pow y 2) (+ (* -1/5040 (exp x)) (* -1/5040 (exp (neg x)))))) (* 1/2 (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x)))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) y) y)) (fma.f64 #s(literal -1/5040 binary64) (exp.f64 x) (/.f64 #s(literal -1/5040 binary64) (exp.f64 x))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(* (pow y 2) (+ (exp x) (exp (neg x)))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) y) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (* -1/6 (exp (neg x)))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) (exp.f64 x))) y) y (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 y y)) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* 1/120 (exp x)) (* 1/120 (exp (neg x))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (exp.f64 x) #s(literal 1/120 binary64) (/.f64 #s(literal 1/120 binary64) (exp.f64 x))) y) y (fma.f64 (exp.f64 x) #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) (exp.f64 x)))) (*.f64 y y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 y y)) |
(* (pow y 2) (+ (exp x) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp x)) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* 1/120 (exp x)) (+ (* 1/120 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (exp x)) (* -1/5040 (exp (neg x)))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (exp.f64 x) (/.f64 #s(literal -1/5040 binary64) (exp.f64 x))) y) y (fma.f64 (exp.f64 x) #s(literal 1/120 binary64) (/.f64 #s(literal 1/120 binary64) (exp.f64 x)))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) (exp.f64 x)))) (*.f64 y y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (*.f64 y y)) |
(* y (exp (neg x))) |
(/.f64 y (exp.f64 x)) |
(* y (+ (exp (neg x)) (* -1/6 (* (pow y 2) (exp (neg x)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) y) |
(* y (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* 1/120 (* (pow y 2) (exp (neg x)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 y (exp.f64 x))) |
(* y (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (exp (neg x)))) (* 1/120 (exp (neg x))))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) (exp.f64 x))) (/.f64 y (exp.f64 x))) |
(* 1/2 (* y (exp x))) |
(*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) y) |
(* y (+ (* -1/12 (* (pow y 2) (exp x))) (* 1/2 (exp x)))) |
(*.f64 (*.f64 (exp.f64 x) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) y) |
(* y (+ (* 1/2 (exp x)) (* (pow y 2) (+ (* -1/12 (exp x)) (* 1/240 (* (pow y 2) (exp x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (exp.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)) |
(* y (+ (* 1/2 (exp x)) (* (pow y 2) (+ (* -1/12 (exp x)) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (exp x))) (* 1/240 (exp x)))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 x) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y) (*.f64 #s(literal -1/12 binary64) (exp.f64 x))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 y y) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 y y) #s(literal 1/240 binary64))) (*.f64 y y)) (*.f64 y y))) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* 1/4 (* y (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(* y (+ (* -1/24 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/4 binary64))) y) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* 1/480 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/480 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(* y (+ (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/24 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))) (* (pow y 2) (+ (* -1/20160 (* (pow y 2) (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x)))))) (* 1/480 (* (+ (exp x) (/ 1 (exp x))) (- (exp x) (/ 1 (exp x))))))))))) |
(*.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 y y) #s(literal 1/480 binary64))))) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/6 binary64) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y x)) |
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) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y) |
(* (pow y 2) (exp (neg x))) |
(*.f64 (/.f64 y (exp.f64 x)) y) |
(* (pow y 2) (+ (exp (neg x)) (* -1/6 (* (pow y 2) (exp (neg x)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 y y)) |
(* (pow y 2) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* 1/120 (* (pow y 2) (exp (neg x)))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 y (exp.f64 x))) y) |
(* (pow y 2) (+ (exp (neg x)) (* (pow y 2) (+ (* -1/6 (exp (neg x))) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (exp (neg x)))) (* 1/120 (exp (neg x))))))))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (/.f64 #s(literal -1/6 binary64) (exp.f64 x))) (/.f64 y (exp.f64 x))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(/ 1 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) y) |
(* 1/2 (/ (+ (* (exp x) (sin y)) (* (exp (neg x)) (sin y))) y)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64)) |
(* y (+ (* (exp x) (sin y)) (* (exp (neg x)) (sin y)))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (sin.f64 y)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) y) y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* y (- (/ 1 (pow y 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/6 binary64)) y) |
(* -1/2 (/ (+ (* -1 (* (exp x) (sin y))) (* -1 (* (exp (neg x)) (sin y)))) y)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1 (* (exp x) (sin y))) (* -1 (* (exp (neg x)) (sin y)))))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* -1 (* y (- 1/6 (/ 1 (pow y 2))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 358 |
| 0 | 90 | 358 |
| 1 | 266 | 344 |
| 2 | 1675 | 344 |
| 0 | 8294 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) |
(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y))) |
#s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
#s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y (fma.f64 (sin.f64 y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (-.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))))) (/.f64 (*.f64 y (-.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 (*.f64 y #s(literal 2 binary64)) y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y (sin.f64 y)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (*.f64 y (sin.f64 y)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 (exp.f64 x) #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 y (sin.f64 y)) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (*.f64 y (sin.f64 y)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 (exp.f64 x) #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (fma.f64 (sin.f64 y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) (*.f64 y y)))) |
(*.f64 (/.f64 y (*.f64 y y)) (/.f64 (fma.f64 (sin.f64 y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) #s(literal 2 binary64))) |
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(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (fma.f64 (sin.f64 y) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y))) (*.f64 y y))) |
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(*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)) |
(*.f64 (sin.f64 y) (exp.f64 (neg.f64 x))) |
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(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (exp.f64 x)) |
(fma.f64 (cosh.f64 x) (sin.f64 y) (*.f64 (sinh.f64 (neg.f64 x)) (sin.f64 y))) |
(fma.f64 (cosh.f64 x) (sin.f64 y) (*.f64 (sin.f64 y) (sinh.f64 (neg.f64 x)))) |
(fma.f64 (sin.f64 y) (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (cosh.f64 x) (*.f64 (sin.f64 y) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (*.f64 (sinh.f64 (neg.f64 x)) (sin.f64 y))) |
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(*.f64 (sin.f64 y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) |
(*.f64 (exp.f64 x) (/.f64 (sin.f64 y) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 (exp.f64 x)))) #s(literal 2 binary64)) |
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(/.f64 (*.f64 (sin.f64 y) (exp.f64 x)) #s(literal 2 binary64)) |
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#s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) |
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(*.f64 (*.f64 #s(literal -1/6 binary64) y) y) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1/6 binary64))) |
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(*.f64 y (*.f64 #s(literal -1/6 binary64) y)) |
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(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
Compiled 30 082 to 2 810 computations (90.7% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 5 | 674 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 671 | 25 | 696 |
| Status | Accuracy | Program |
|---|---|---|
| 21.8% | (/.f64 #s(approx (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) | |
| ✓ | 32.4% | (/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
| 44.7% | (*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) #s(approx (cosh x) #s(literal 1 binary64)))) | |
| 46.2% | (*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) | |
| ✓ | 66.8% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 65.3% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 31.6% | (*.f64 #s(approx (/ (/ (sin y) y) (sinh x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sin.f64 y)) (*.f64 y x))) (*.f64 (sinh.f64 x) (cosh.f64 x))) | |
| 62.4% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 61.4% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 61.3% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 58.4% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 59.5% | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 77.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 53.2% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 51.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| 28.6% | #s(approx (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) y))) | |
| ✓ | 46.3% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
| 35.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 35.5% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| 30.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) | |
| ✓ | 30.1% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 29.3% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
| ✓ | 6.7% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| 6.7% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) | |
| 25.6% | #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
Compiled 1 755 to 679 computations (61.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(/.f64 #s(approx (* (* (cosh x) (sinh x)) (sin y)) (*.f64 (sin.f64 y) x)) (*.f64 (sinh.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) #s(approx (cosh x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (/ (sin y) y) (sinh x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (sin.f64 y)) (*.f64 y x))) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sin.f64 y)) (*.f64 (sinh.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) y) (*.f64 y (*.f64 (exp.f64 (neg.f64 x)) (sin.f64 y)))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (+ (pow (* (/ (sin y) y) (/ (exp x) 2)) 3) (pow (* (/ (sin y) y) (/ (exp (neg x)) 2)) 3)) (+ (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp x) 2))) (- (* (* (/ (sin y) y) (/ (exp (neg x)) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2))) (* (* (/ (sin y) y) (/ (exp x) 2)) (* (/ (sin y) y) (/ (exp (neg x)) 2)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)))) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
5 calls:
| 14.0ms | x |
| 10.0ms | y |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 7.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (/.f64 (sin.f64 y) y) |
| 99.9% | 1 | (cosh.f64 x) |
| 99.9% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (* (/ (exp x) 2) (sin y)) (* 2 y)) (* y (* (exp (neg x)) (sin y)))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 y (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 5.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | (/.f64 (sin.f64 y) y) |
| 87.8% | 2 | (cosh.f64 x) |
| 99.9% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 95.6% | 3 | x |
| 90.1% | 2 | y |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 43.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 4 | x |
| 95.6% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 11.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 4.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 1 | (cosh.f64 x) |
| 64.5% | 2 | y |
| 74.8% | 2 | (/.f64 (sin.f64 y) y) |
| 68.8% | 4 | x |
| 74.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 17.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | (/.f64 (sin.f64 y) y) |
| 71.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
2 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 71.1% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 10 computations (9.1% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
1 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 4 to 4 computations (0% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 10.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 3.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 1 | (cosh.f64 x) |
| 54.9% | 2 | y |
| 51.8% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 57.2% | 3 | x |
| 62.6% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 2.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 35.5% | 1 | (cosh.f64 x) |
| 35.5% | 1 | y |
| 37.2% | 2 | x |
| 40.8% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(approx (* (- (/ 1 (* y y)) 1/6) y) (/.f64 #s(literal 1 binary64) y)) y)))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
5 calls:
| 11.0ms | (cosh.f64 x) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.1% | 1 | (cosh.f64 x) |
| 30.1% | 1 | y |
| 30.1% | 1 | x |
| 30.1% | 1 | (/.f64 (sin.f64 y) y) |
| 30.1% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 17 computations (-13.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) |
| Outputs |
|---|
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.7% | 1 | y |
| 6.7% | 1 | (cosh.f64 x) |
| 6.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 6.7% | 1 | x |
| 6.7% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 15 to 17 computations (-13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3885809107665083e-38 | 1.0 |
| 0.0ms | -inf | -1.3165446629349453e-7 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3885809107665083e-38 | 1.0 |
| 0.0ms | -inf | -1.3165446629349453e-7 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3885809107665083e-38 | 1.0 |
| 0.0ms | -inf | -1.3165446629349453e-7 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.133008716253202e-308 | 4.509472791325327e-279 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.794078121012704e-6 | 0.9678671518271208 |
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.794078121012704e-6 | 0.9678671518271208 |
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.794078121012704e-6 | 0.9678671518271208 |
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.794078121012704e-6 | 0.9678671518271208 |
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.794078121012704e-6 | 0.9678671518271208 |
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.794078121012704e-6 | 0.9678671518271208 |
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.133008716253202e-308 | 1.7264666345904147e-308 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1003 |
| 1 | 130 | 1003 |
| 2 | 220 | 1003 |
| 3 | 446 | 1003 |
| 4 | 959 | 1003 |
| 5 | 4811 | 1003 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1915619426082361/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1915619426082361/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1915619426082361/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1915619426082361/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1915619426082361/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1915619426082361/47890485652059026823698344598447161988085597568237568 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
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(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))))) |
(if (or (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (not (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5902958103587057/1180591620717411303424 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal -1012011266536553/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) #s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 830 |
| 1 | 667 | 779 |
| 2 | 2703 | 734 |
| 0 | 8403 | 687 |
| 0 | 56 | 358 |
| 0 | 90 | 358 |
| 1 | 266 | 344 |
| 2 | 1675 | 344 |
| 0 | 8294 | 342 |
| 0 | 83 | 332 |
| 1 | 320 | 302 |
| 2 | 1435 | 282 |
| 3 | 7647 | 278 |
| 0 | 8263 | 252 |
| 0 | 399 | 1818 |
| 1 | 1661 | 1565 |
| 2 | 7849 | 1555 |
| 0 | 8041 | 1448 |
| 0 | 661 | 5713 |
| 1 | 2467 | 3807 |
| 0 | 9357 | 3499 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 003 to 97 computations (90.3% saved)
(abs x)
(abs y)
Compiled 2 090 to 266 computations (87.3% saved)
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