
Time bar (total: 8.1s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 606.0ms | 8 256× | 0 | valid |
ival-div: 143.0ms (45.6% of total)ival-cosh: 111.0ms (35.4% of total)ival-mult: 48.0ms (15.3% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (1% of total)adjust: 2.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 9 | 0 | - | 0 | - | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (/.f64 y x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (cosh.f64 x) (/.f64 y x)) | o*u | 21 | 0 |
| ↳ | (cosh.f64 x) | overflow | 127 | |
| ↳ | (/.f64 y x) | underflow | 21 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 9 | 0 |
| ↳ | (cosh.f64 x) | overflow | 127 | |
| ↳ | (/.f64 y x) | overflow | 38 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 166 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 56 to 25 computations (55.4% saved)
ival-div: 9.0ms (47.9% of total)ival-cosh: 6.0ms (32% of total)ival-mult: 3.0ms (16% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 86 |
| 1 | 94 | 83 |
| 2 | 294 | 83 |
| 3 | 911 | 83 |
| 4 | 4982 | 83 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 51 | 8 |
| 3 | 151 | 8 |
| 4 | 786 | 8 |
| 5 | 5523 | 8 |
| 0 | 8109 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(negabs x)
(negabs y)
(negabs z)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.4% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 51 | 22 |
| 3 | 151 | 22 |
| 4 | 786 | 22 |
| 5 | 5523 | 22 |
| 0 | 8109 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (cosh.f64 x) | |
| accuracy | 2.150985442896063 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 4.199218750000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 16.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 3.0ms (35.4% of total)ival-cosh: 3.0ms (35.4% of total)ival-mult: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 316 |
| 1 | 280 | 302 |
| 2 | 1059 | 298 |
| 3 | 4849 | 296 |
| 0 | 8899 | 278 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) z) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#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 (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#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 (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (cosh x) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 28 | 19 |
| 2 | 122 | 19 |
| 0 | 890 | 19 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 y x) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (neg.f64 x)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 y x) z) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) (neg.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 z) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 z #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (*.f64 (neg.f64 x) z) #s(literal -2 binary64))) |
(/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (*.f64 z x) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 y)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) z))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal -2 binary64) (*.f64 z x))) |
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 x (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 (neg.f64 x) z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) z))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) x) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (*.f64 (*.f64 z x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) |
(neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 y x) z))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z))) |
(fma.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z))) |
(+.f64 (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 y) x) (neg.f64 (cosh.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) (neg.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 y x) (cosh.f64 x)) |
(*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 y (/.f64 (cosh.f64 x) x)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x))) x) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 (*.f64 y (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 y)) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 y (cosh.f64 x)) x) |
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 y x) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 y x))) |
(fma.f64 (/.f64 y x) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 y x)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 y x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.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)))) (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.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 #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 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.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 (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 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
Compiled 1 541 to 342 computations (77.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 10 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 99 | 10 | 109 |
| Status | Accuracy | Program |
|---|---|---|
| 80.3% | (/.f64 (*.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))) (/.f64 y x)) z) | |
| ▶ | 78.4% | (/.f64 (*.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))) (/.f64 y x)) z) |
| 68.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 84.0% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) | |
| ▶ | 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
| 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ▶ | 83.8% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| ▶ | 54.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 83.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))) | |
| ▶ | 72.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
Compiled 340 to 242 computations (28.8% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #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 #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 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.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))) (/.f64 y x)) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) | |
| cost-diff | 2 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (*.f64 y (fma.f64 (fma.f64 #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) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| cost-diff | 2 | (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 286 |
| 0 | 53 | 286 |
| 1 | 109 | 286 |
| 2 | 296 | 286 |
| 3 | 1162 | 280 |
| 4 | 6670 | 280 |
| 0 | 8103 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
y |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(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 y z) |
y |
z |
(/.f64 (*.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))) (/.f64 y x)) z) |
(*.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))) (/.f64 y x)) |
#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))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
y |
(/.f64 (cosh.f64 x) (*.f64 z x)) |
(cosh.f64 x) |
x |
(*.f64 z x) |
z |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
y |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
(/.f64 (/.f64 y z) x) |
(/.f64 (/.f64 y x) z) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(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 y z) |
y |
z |
(/.f64 (*.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))) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #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))) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#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 (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
y |
(/.f64 (cosh.f64 x) (*.f64 z x)) |
(/.f64 (/.f64 (cosh.f64 x) x) z) |
(cosh.f64 x) |
x |
(*.f64 z x) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 0.00390625 | (cosh.f64 x) | |
| accuracy | 2.871684463561296 | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| accuracy | 6.305151596456354 | (/.f64 (cosh.f64 x) (*.f64 z x)) | |
| accuracy | 0.1015625 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 2.150985442896063 | (/.f64 (*.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))) (/.f64 y x)) z) | |
| accuracy | 4.199218750000001 | (*.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))) (/.f64 y x)) | |
| accuracy | 9.75590282740785 | #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))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 3.233304397052044 | (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) | |
| accuracy | 11.927996754871748 | (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) | |
| accuracy | 21.63057264292976 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 4.605735567018153 | (/.f64 (/.f64 y z) x) | |
| accuracy | 31.018864798883033 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| accuracy | 2.150985442896063 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| accuracy | 2.1597160165880913 | (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 2.828174256621874 | (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) | |
| accuracy | 12.95917465150127 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
| 180.0ms | 256× | 0 | valid |
Compiled 214 to 28 computations (86.9% saved)
ival-div: 90.0ms (70.4% of total)ival-add: 18.0ms (14.1% of total)ival-mult: 12.0ms (9.4% of total)ival-cosh: 3.0ms (2.3% of total)const: 3.0ms (2.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 y (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 (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.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))) (/.f64 y x)) z) |
(*.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))) (/.f64 y x)) |
#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))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (cosh.f64 x) (*.f64 z x)) |
(cosh.f64 x) |
(*.f64 z x) |
(*.f64 x x) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 y)) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ 1 (* x z)))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (* x (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | y | @ | -inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (+ (* (* x x) 1/2) 1) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (* z x) (* x x) (+ (* 1/24 (* x x)) 1/2)) |
| 11.0ms | x | @ | inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (+ (* (* x x) 1/2) 1) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (* z x) (* x x) (+ (* 1/24 (* x x)) 1/2)) |
| 5.0ms | x | @ | -inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (+ (* (* x x) 1/2) 1) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (* z x) (* x x) (+ (* 1/24 (* x x)) 1/2)) |
| 4.0ms | y | @ | 0 | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (+ (* (* x x) 1/2) 1) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (* z x) (* x x) (+ (* 1/24 (* x x)) 1/2)) |
| 4.0ms | z | @ | -inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (+ (* (* x x) 1/2) 1) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (/ (cosh x) (* z x))) (/ (cosh x) (* z x)) (cosh x) (* z x) (* x x) (+ (* 1/24 (* x x)) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 1549 |
| 1 | 707 | 1503 |
| 2 | 2992 | 1491 |
| 0 | 8323 | 1368 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 y)) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ 1 (* x z)))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (* x (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
| Outputs |
|---|
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/.f64 y x)) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) (/.f64 y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) (/.f64 y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 y)) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y)) |
#s(approx (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ y z) x) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/.f64 (/.f64 y x) z)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x) z)) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (* x x) 1/2) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#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 (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 y x) z)) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x) z)) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ 1 (* x z)))) |
#s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x)) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x)) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) x)) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) x))) |
#s(approx (/ (cosh x) (* z x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) z) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z)) x)) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (* z x) (*.f64 z x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* y (/ (cosh x) (* z x))) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) z))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/24 binary64))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) #s(hole binary64 (* x (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/2) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (cosh x) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* y (/ (cosh x) (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* y (/ (cosh x) (* z x))) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) z))) |
#s(approx (/ (cosh x) (* z x)) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (* x z))))) |
#s(approx (/ (cosh x) (* z x)) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))) (/.f64 y x))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 234 |
| 0 | 53 | 234 |
| 1 | 171 | 234 |
| 0 | 1056 | 234 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 y (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 (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.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))) (/.f64 y x)) z) |
(*.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))) (/.f64 y x)) |
#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))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (cosh.f64 x) (*.f64 z x)) |
(cosh.f64 x) |
(*.f64 z x) |
(*.f64 x x) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) (/.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x))) (neg.f64 z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x))) z)) |
(neg.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) (neg.f64 z))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) y) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) y)))) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) y) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y) |
(-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (*.f64 #s(literal -1 binary64) y)) |
(-.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) y) |
(+.f64 y (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 y z) x) |
(/.f64 y (*.f64 z x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) x)) |
(neg.f64 (/.f64 (/.f64 y z) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) x) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
(*.f64 (/.f64 y z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y z) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z)) (neg.f64 x)) |
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(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/24 binary64))) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/24 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
Compiled 10 382 to 1 665 computations (84% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 387 | 23 | 410 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 391 | 29 | 420 |
| Status | Accuracy | Program |
|---|---|---|
| 80.3% | (/.f64 (*.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))) (/.f64 y x)) z) | |
| 73.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 68.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 78.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
| 83.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) | |
| 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) | |
| 77.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) | |
| 82.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ▶ | 83.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
| 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| 85.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) | |
| 72.1% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 83.8% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| 74.7% | (*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) | |
| 47.0% | (*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) | |
| 79.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) | |
| ✓ | 54.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 66.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| ▶ | 47.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 83.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))) | |
| ▶ | 63.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
| ✓ | 72.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
| 34.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) | |
| 27.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) | |
| ▶ | 53.2% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
| 84.3% | #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) | |
| 83.9% | #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
Compiled 1 281 to 872 computations (31.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) | |
| cost-diff | 2 | (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) | |
| cost-diff | 0 | #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) | |
| cost-diff | 2 | (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 y (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| cost-diff | 2 | (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 2 | (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 432 |
| 0 | 77 | 430 |
| 1 | 165 | 425 |
| 2 | 478 | 420 |
| 3 | 2035 | 412 |
| 0 | 8306 | 394 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
y |
(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) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (/.f64 y x) z) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) |
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) |
#s(literal 1/2 binary64) |
y |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
x |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
y |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) x) y (/.f64 y x))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x) |
(fma.f64 (*.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)) x) y (/.f64 y x)) |
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) |
(fma.f64 (*.f64 (*.f64 y x) x) (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)) y) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) |
(*.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)) y) |
(*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) |
y |
(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) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
(/.f64 y (*.f64 z x)) |
(/.f64 (/.f64 y x) z) |
y |
(*.f64 z x) |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)) z)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)) z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (/.f64 y x) z) |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)) z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (/.f64 y x)) z) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) |
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) |
#s(literal 1/2 binary64) |
y |
(/.f64 (/.f64 y x) x) |
(/.f64 y x) |
x |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x)) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y) x y) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y) |
y |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.150985442896063 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) | |
| accuracy | 2.4109643785113555 | (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) | |
| accuracy | 2.828174256621874 | (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x) | |
| accuracy | 12.95917465150127 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) | |
| accuracy | 0.16796875 | (/.f64 (/.f64 y x) x) | |
| accuracy | 2.862699257756706 | (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) | |
| accuracy | 7.21648551253245 | (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) | |
| accuracy | 21.63057264292976 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 3.6620031177728736 | (/.f64 (/.f64 y x) z) | |
| accuracy | 9.413198141198915 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) | |
| accuracy | 21.63057264292976 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 5.404895835859497 | (/.f64 y (*.f64 z x)) | |
| accuracy | 31.018864798883033 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 0.9322107230967711 | (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x) | |
| accuracy | 2.150985442896063 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| accuracy | 2.3182435689383185 | (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) | |
| accuracy | 8.32408232695166 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
| 173.0ms | 256× | 0 | valid |
Compiled 319 to 45 computations (85.9% saved)
ival-mult: 105.0ms (69.1% of total)ival-cosh: 18.0ms (11.9% of total)ival-div: 14.0ms (9.2% of total)ival-add: 8.0ms (5.3% of total)const: 6.0ms (4% 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 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) |
(/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) |
(*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y x) x) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (/ y (* z x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ y (* (pow x 2) z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (pow x 2)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/24 y))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
#s(approx (/ (/ y x) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ y x) x) #s(hole binary64 (/ y (pow x 2)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* 1/720 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/720 (* (pow x 2) y)))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* (pow x 2) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (* y (+ 1/2 (/ 1 (pow x 2))))) z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (* y (+ 1/2 (/ 1 (pow x 2)))) z))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2)))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (* y (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (/ (* y (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)) 1)) x)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (+ (* 1/2 y) (/ y (pow x 2)))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 y) (/ y (pow x 2))) z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | 0 | ((/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/ (* (cosh x) (/ y x)) z) (+ (* 1/2 (* x x)) 1) (* x x) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* y (+ (* 1/720 (* x x)) 1/24)) (/ (/ y x) z) (/ (/ y x) x) (* y (* (+ (* (* x x) 1/24) 1/2) x))) |
| 10.0ms | z | @ | -inf | ((/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/ (* (cosh x) (/ y x)) z) (+ (* 1/2 (* x x)) 1) (* x x) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* y (+ (* 1/720 (* x x)) 1/24)) (/ (/ y x) z) (/ (/ y x) x) (* y (* (+ (* (* x x) 1/24) 1/2) x))) |
| 10.0ms | y | @ | inf | ((/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/ (* (cosh x) (/ y x)) z) (+ (* 1/2 (* x x)) 1) (* x x) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* y (+ (* 1/720 (* x x)) 1/24)) (/ (/ y x) z) (/ (/ y x) x) (* y (* (+ (* (* x x) 1/24) 1/2) x))) |
| 9.0ms | y | @ | -inf | ((/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/ (* (cosh x) (/ y x)) z) (+ (* 1/2 (* x x)) 1) (* x x) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* y (+ (* 1/720 (* x x)) 1/24)) (/ (/ y x) z) (/ (/ y x) x) (* y (* (+ (* (* x x) 1/24) 1/2) x))) |
| 5.0ms | x | @ | -inf | ((/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/ (* (cosh x) (/ y x)) z) (+ (* 1/2 (* x x)) 1) (* x x) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* y (+ (* 1/720 (* x x)) 1/24)) (/ (/ y x) z) (/ (/ y x) x) (* y (* (+ (* (* x x) 1/24) 1/2) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 2526 |
| 1 | 907 | 2504 |
| 2 | 3582 | 2494 |
| 0 | 8278 | 2270 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (/ y (* z x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ y (* (pow x 2) z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (pow x 2)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/24 y))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
#s(approx (/ (/ y x) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ y x) x) #s(hole binary64 (/ y (pow x 2)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* 1/720 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/720 (* (pow x 2) y)))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* (pow x 2) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (* y (+ 1/2 (/ 1 (pow x 2))))) z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (* y (+ 1/2 (/ 1 (pow x 2)))) z))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2)))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (* y (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (/ (* y (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)) 1)) x)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (+ (* 1/2 y) (/ y (pow x 2)))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 y) (/ y (pow x 2))) z))) |
| Outputs |
|---|
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 y x)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (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)) x) y)) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* 1/2 y))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.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)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (*.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)) y) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) |
#s(approx (/ y (* z x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ y x) z) (/.f64 (/.f64 y z) x)) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (* z x) (*.f64 z x)) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/.f64 (/.f64 y z) x)) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* 1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/.f64 (/.f64 y z) x)) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (/.f64 (/.f64 y z) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ y (* (pow x 2) z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (/.f64 (/.f64 y z) x) x)) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (pow x 2)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (fma.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y z) x) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/.f64 y x)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/24 y))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 #s(literal 1/24 binary64) y)) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) |
#s(approx (/ (/ y x) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ y x) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (/ y x) x) #s(hole binary64 (/ y (pow x 2)))) |
#s(approx (/ (/ y x) x) (/.f64 (/.f64 y x) x)) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x y))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* 1/720 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/720 binary64))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* 1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* 1/720 (* (pow x 2) y)))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* (pow x 2) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) x) x)) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (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)) x) y)) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.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)) y)) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (* y (+ 1/2 (/ 1 (pow x 2))))) z))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (+ (* 1/2 (* x x)) 1) (/ (/ y x) z)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (* y (+ 1/2 (/ 1 (pow x 2)))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2)))))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (* y (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x y))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) #s(hole binary64 (* -1 (/ (* y (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)) 1)) x)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (/.f64 y x)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2))))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 (neg.f64 y) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) y) (neg.f64 x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (neg.f64 y) (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 (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (+ (* 1/2 y) (/ y (pow x 2)))) z))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 y) (/ y (pow x 2))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 346 |
| 0 | 77 | 344 |
| 1 | 294 | 340 |
| 2 | 2028 | 340 |
| 0 | 8680 | 336 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) |
(/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) |
(*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y x) x) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 y (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) y) (-.f64 (*.f64 (*.f64 y (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)) y)) (/.f64 (-.f64 (*.f64 (*.f64 y (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)) y) x)) |
(*.f64 (/.f64 (fma.f64 y (fma.f64 (*.f64 y (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) y) (pow.f64 (*.f64 (*.f64 y (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 2 binary64))) (fma.f64 y (fma.f64 (*.f64 y (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) y) (pow.f64 (*.f64 (*.f64 y (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 2 binary64)))) (/.f64 (fma.f64 (*.f64 y (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) y) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (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 (*.f64 x x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y (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 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (*.f64 (*.f64 y (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 (*.f64 x x) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (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 (*.f64 x x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (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)) y) x))) |
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(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/24 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/24 binary64) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal -1/24 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 y) #s(literal 1/24 binary64)) (*.f64 (neg.f64 y) #s(literal 1/24 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 (neg.f64 y) #s(literal 1/24 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) y)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/373248000 binary64) (*.f64 #s(literal 1/13824 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) y) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) y) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(/.f64 (*.f64 y (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/373248000 binary64) (*.f64 #s(literal 1/13824 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y))))) |
(fma.f64 (*.f64 y (*.f64 x #s(literal 1/720 binary64))) x (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 (*.f64 y #s(literal 1/720 binary64)) (*.f64 x x) (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 #s(literal 1/24 binary64) y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) y) (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 #s(literal 1/24 binary64) y)) |
(fma.f64 y #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y)))) |
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal -1/24 binary64) y)) |
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 (neg.f64 y) #s(literal 1/24 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y))))) (/.f64 (*.f64 #s(literal 1/13824 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y)))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y)) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y) (*.f64 #s(literal 1/24 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) z)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (neg.f64 x) z))) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 x)) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 z)) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 y z) x) |
(/.f64 (/.f64 y x) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 y x) z) |
(/.f64 y (*.f64 z x)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 z x))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) z)) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 x) z))) |
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 x x)) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 x)) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 y) (*.f64 x x)) |
(/.f64 (/.f64 y x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 y x) x) |
(/.f64 y (*.f64 x x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) x)) |
(*.f64 (*.f64 y x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x y)) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
Compiled 29 496 to 3 631 computations (87.7% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 17 | 697 |
| Fresh | 4 | 17 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 686 | 40 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| 80.3% | (/.f64 (*.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))) (/.f64 y x)) z) | |
| 73.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 68.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 78.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 87.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (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 (*.f64 x x) x) (/.f64 y x))) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) x) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) (*.f64 x x))) (*.f64 x x) y) x)) z) | |
| 83.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) | |
| 82.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) | |
| 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) | |
| 77.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) | |
| 87.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (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) y) x)) z) | |
| ▶ | 87.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
| ✓ | 83.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
| ▶ | 73.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
| 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| 85.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) | |
| ▶ | 88.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
| 47.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 y (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) y) (-.f64 (*.f64 (*.f64 y (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)) y)) (/.f64 (-.f64 (*.f64 (*.f64 y (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)) y) x))) z) | |
| ▶ | 72.1% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | 83.8% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| 74.7% | (*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) | |
| 47.0% | (*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) | |
| 79.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) | |
| ✓ | 54.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 66.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| ✓ | 47.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| ✓ | 63.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
| ✓ | 72.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
| 34.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) | |
| 27.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) | |
| 56.5% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) | |
| 35.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) | |
| ▶ | 27.4% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
| 84.3% | #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) | |
| 83.9% | #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
Compiled 2 066 to 1 301 computations (37% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) | |
| cost-diff | 1 | (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) | |
| cost-diff | 2 | (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 (/.f64 y x) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) | |
| cost-diff | 1 | (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) | |
| cost-diff | 0 | (*.f64 (/.f64 (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)) x) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) | |
| cost-diff | 2 | (/.f64 (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)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 611 |
| 0 | 95 | 605 |
| 1 | 194 | 605 |
| 2 | 537 | 601 |
| 3 | 2318 | 591 |
| 0 | 8150 | 578 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) |
(*.f64 (/.f64 (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)) x) y) |
(/.f64 (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)) 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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y z) #s(literal 1/2 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) |
(/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x) |
(fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
z |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 y x) z) |
(/.f64 y x) |
y |
x |
z |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) |
(/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x) |
(fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) |
y |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
z |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) |
(*.f64 (/.f64 (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)) x) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x)) |
(/.f64 (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)) x) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) 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 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 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 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y z) #s(literal 1/2 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) |
#s(approx (* (cosh x) (/ y x)) (+.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 y x))) |
(/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x) |
(+.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 y x)) |
(fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) |
(fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) x y) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(literal 1/2 binary64) |
z |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #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))) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(/.f64 y x) |
y |
x |
z |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#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))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x)) |
(fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (*.f64 x x) y) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) |
y |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9322107230967711 | (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x) | |
| accuracy | 2.150985442896063 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) | |
| accuracy | 2.153121911481035 | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) | |
| accuracy | 8.32408232695166 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 3.6620031177728736 | (/.f64 (/.f64 y x) z) | |
| accuracy | 6.791347509768443 | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 9.75590282740785 | #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 2.150985442896063 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) | |
| accuracy | 2.828174256621874 | (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x) | |
| accuracy | 12.95917465150127 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) | |
| accuracy | 22.836324643736365 | #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) | |
| accuracy | 7.21648551253245 | (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) | |
| accuracy | 21.63057264292976 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) | |
| accuracy | 25.80450206635939 | #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) | |
| accuracy | 0.9638257594324363 | (/.f64 (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)) x) | |
| accuracy | 2.150985442896063 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) | |
| accuracy | 2.20905306136037 | (*.f64 (/.f64 (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)) x) y) | |
| accuracy | 8.32408232695166 | #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) |
| 110.0ms | 256× | 0 | valid |
Compiled 404 to 53 computations (86.9% saved)
ival-mult: 32.0ms (48.7% of total)ival-div: 14.0ms (21.3% of total)ival-add: 10.0ms (15.2% of total)const: 6.0ms (9.1% of total)ival-cosh: 3.0ms (4.6% 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 (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)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) |
(*.f64 (/.f64 (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)) x) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) |
(fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 y x) z) |
(/.f64 y x) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) |
(*.f64 (/.f64 y z) #s(literal 1/2 binary64)) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) |
| Outputs |
|---|
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ y x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ y (* (pow x 2) z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (pow x 2)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (/ y x) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* 1/2 y))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* 1/720 (pow x 5)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* 1/720 (* (pow x 4) y)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (* y (+ 1/2 (/ 1 (pow x 2))))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (* y (+ 1/2 (/ 1 (pow x 2)))) z))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (* (/ y z) 1/2) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (* y (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (+ (* 1/2 y) (/ y (pow x 2)))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 y) (/ y (pow x 2))) z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | 0 | ((/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* (/ (/ y x) z) (cosh x)) (/ (/ y x) z) (/ y x) (cosh x) (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ y z) 1/2) (* y (* (+ (* (* x x) 1/24) 1/2) x)) (+ (* (* x x) 1/24) 1/2) (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)))) |
| 8.0ms | y | @ | -inf | ((/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* (/ (/ y x) z) (cosh x)) (/ (/ y x) z) (/ y x) (cosh x) (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ y z) 1/2) (* y (* (+ (* (* x x) 1/24) 1/2) x)) (+ (* (* x x) 1/24) 1/2) (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)))) |
| 7.0ms | y | @ | inf | ((/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* (/ (/ y x) z) (cosh x)) (/ (/ y x) z) (/ y x) (cosh x) (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ y z) 1/2) (* y (* (+ (* (* x x) 1/24) 1/2) x)) (+ (* (* x x) 1/24) 1/2) (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)))) |
| 5.0ms | x | @ | -inf | ((/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* (/ (/ y x) z) (cosh x)) (/ (/ y x) z) (/ y x) (cosh x) (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ y z) 1/2) (* y (* (+ (* (* x x) 1/24) 1/2) x)) (+ (* (* x x) 1/24) 1/2) (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)))) |
| 4.0ms | x | @ | inf | ((/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (* (/ (/ y x) z) (cosh x)) (/ (/ y x) z) (/ y x) (cosh x) (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ y z) 1/2) (* y (* (+ (* (* x x) 1/24) 1/2) x)) (+ (* (* x x) 1/24) 1/2) (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 3478 |
| 1 | 1039 | 3422 |
| 2 | 4062 | 3406 |
| 0 | 8302 | 3088 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ y x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ y (* (pow x 2) z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (pow x 2)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (/ y x) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* 1/2 y))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* 1/720 (pow x 5)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* 1/24 (* (pow x 4) y)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))))) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x)) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* 1/24 (* (pow x 3) y)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* 1/720 (* (pow x 4) y)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (* y (+ 1/2 (/ 1 (pow x 2))))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (* y (+ 1/2 (/ 1 (pow x 2)))) z))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (* (/ y z) 1/2) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (* y (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (+ (* 1/2 y) (/ y (pow x 2)))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 y) (/ y (pow x 2))) z))) |
| Outputs |
|---|
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 (pow x 2))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) #s(literal 1 binary64))) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (/ y x) z) (cosh x)) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (/ (/ y x) z) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) y) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) y) y) x)) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (/.f64 y x)) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x)) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) y) y) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (/.f64 (/.f64 y z) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (/.f64 (/.f64 y z) x)) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ y (* (pow x 2) z)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (/.f64 (/.f64 y z) x) x)) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) (pow x 2)))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/.f64 y x)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (* (/ (/ y x) z) (cosh x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (/ y x) z) (cosh x)) (/.f64 (/.f64 y z) x)) |
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#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* 1/720 (* (pow x 4) y)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/720 binary64))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal 1/720 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 y x) x)))))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 #s(literal 1/24 binary64) y (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 y x) x)))))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) y)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) y) y) x)) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x) y)) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (* y (+ 1/2 (/ 1 (pow x 2))))) z))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (* y (+ 1/2 (/ 1 (pow x 2)))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) y) y) x)) |
#s(approx (* (/ y z) 1/2) #s(hole binary64 (* 1/2 (/ y z)))) |
#s(approx (* (/ y z) 1/2) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) #s(hole binary64 (* x (* y (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) #s(hole binary64 (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) y)) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)))) |
#s(approx (/ (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) x) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 y x)))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) #s(hole binary64 (* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))))) |
#s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) (*.f64 (neg.f64 y) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) x)))) |
#s(approx (/ (+ (* (* y (+ 1/2 (* (* (+ (* (* x x) 1/720) 1/24) x) x))) (* x x)) y) x) (*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 y x)))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) #s(hole binary64 (/ (* x (+ (* 1/2 y) (/ y (pow x 2)))) z))) |
#s(approx (* (/ (+ (* 1/2 y) (/ (/ y x) x)) z) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) #s(hole binary64 (/ (+ (* 1/2 y) (/ y (pow x 2))) z))) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 477 |
| 0 | 95 | 472 |
| 1 | 344 | 472 |
| 2 | 2393 | 472 |
| 0 | 9739 | 466 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (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)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) |
(*.f64 (/.f64 (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)) x) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) |
#s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) |
(fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 y x) z) |
(/.f64 y x) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) |
(*.f64 (/.f64 y z) #s(literal 1/2 binary64)) |
#s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) |
| Outputs |
|---|
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(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)) |
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(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 2 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y))))) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 y x) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y x) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) y) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y) (*.f64 y #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)))) |
(-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) y)) |
(-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)) |
Compiled 22 760 to 2 461 computations (89.2% saved)
47 alts after pruning (38 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 12 | 465 |
| Fresh | 3 | 26 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 458 | 47 | 505 |
| Status | Accuracy | Program |
|---|---|---|
| 80.3% | (/.f64 (*.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))) (/.f64 y x)) z) | |
| 73.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 68.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 78.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 87.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (/.f64 (*.f64 x x) x) (/.f64 y x))) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) x) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| 86.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) (*.f64 x x))) (*.f64 x x) y) x)) z) | |
| 87.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) | |
| 83.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) | |
| 82.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) | |
| 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) | |
| 77.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) | |
| ✓ | 83.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
| ✓ | 73.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
| 85.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| 88.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) | |
| 85.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| 48.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) | |
| ✓ | 88.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
| 59.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) x x) (*.f64 x x)) y)) z) | |
| 88.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) (/.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y)) z) | |
| 72.1% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 71.7% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) | |
| 84.2% | (*.f64 (/.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))) x) (/.f64 y z)) | |
| 69.7% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 83.8% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| 74.7% | (*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) | |
| 47.0% | (*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) | |
| 79.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) | |
| ✓ | 54.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 66.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| ✓ | 47.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| ✓ | 63.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
| ✓ | 72.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
| 34.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) | |
| 27.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) | |
| 56.5% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) | |
| 35.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) | |
| 50.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) | |
| ✓ | 27.4% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
| 27.4% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) | |
| 84.3% | #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) | |
| 83.9% | #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
Compiled 2 958 to 1 188 computations (59.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (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) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) x) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) (*.f64 x x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) x x) (*.f64 x x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (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 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (/.f64 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) (/.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 y (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) y) (-.f64 (*.f64 (*.f64 y (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)) y)) (/.f64 (-.f64 (*.f64 (*.f64 y (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)) y) x))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x)))) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
5 calls:
| 43.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 19.0ms | z |
| 17.0ms | y |
| 15.0ms | x |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 96.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 96.6% | 2 | x |
| 93.2% | 2 | y |
| 92.7% | 3 | z |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (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) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) x) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) (*.f64 x x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) x x) (*.f64 x x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (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 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (/.f64 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) (/.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
3 calls:
| 31.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 29.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | x |
| 88.5% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.5% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (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) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) x) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) (*.f64 x x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) x x) (*.f64 x x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (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 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (/.f64 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) (/.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (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) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) x) x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y)) (*.f64 x x))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) x x) (*.f64 x x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x y) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (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 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) (/.f64 (*.f64 x x) x) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) (/.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
3 calls:
| 32.0ms | y |
| 25.0ms | z |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 1 | z |
| 91.1% | 2 | y |
| 88.5% | 1 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 (*.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) z) (*.f64 z y)) (*.f64 z (*.f64 (*.f64 x x) z))) x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
5 calls:
| 2.3s | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 13.0ms | y |
| 10.0ms | z |
| 10.0ms | x |
| 9.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 85.8% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 85.8% | 1 | x |
| 85.8% | 1 | z |
| 89.1% | 2 | y |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
(*.f64 (/.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x)) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
1 calls:
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) (/.f64 x z)))) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
5 calls:
| 8.0ms | x |
| 7.0ms | y |
| 7.0ms | z |
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 3 | x |
| 82.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 82.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 79.9% | 1 | z |
| 82.1% | 2 | y |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 79.9% | 1 | x |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (* (+ (* (* x x) 1/24) 1/2) x)) (*.f64 (*.f64 x y) #s(literal 1/2 binary64))) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 z x) x))) x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 6.0ms | y |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 2 | y |
| 82.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
5 calls:
| 5.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 1 | x |
| 72.9% | 1 | z |
| 72.9% | 1 | y |
| 75.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 75.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))) |
5 calls:
| 24.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | x |
| 66.4% | 1 | y |
| 66.4% | 1 | z |
| 70.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 70.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (/.f64 y x) z))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 68.5% | 2 | x |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* y (* (+ (* (* x x) 1/24) 1/2) x)) x) y) y) x)) z) |
(*.f64 y #s(approx (/ (cosh x) (* z x)) (/.f64 (/.f64 #s(literal 1 binary64) z) x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 2 | y |
| 56.2% | 2 | z |
| 63.7% | 2 | x |
| 56.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 56.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (+ (* (* x x) 1/2) 1) x) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 1 | z |
| 47.3% | 1 | y |
| 47.3% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 47.3% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 47.3% | 1 | x |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.9668366862381045e+45 | 3.5026340233451365e+45 |
| 10.0ms | 1.5525875626527216e-57 | 6.424676705855113e-56 |
| 9.0ms | 176× | 0 | valid |
Compiled 313 to 254 computations (18.8% saved)
ival-div: 2.0ms (38.1% of total)ival-cosh: 2.0ms (38.1% of total)ival-mult: 1.0ms (19.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.9668366862381045e+45 | 3.5026340233451365e+45 |
| 1.0ms | 1.5309137828495986e-18 | 3.430824288392523e-16 |
| 1.0ms | 16× | 0 | valid |
Compiled 181 to 140 computations (22.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.7117610693035486e+101 | 2.0463864316030166e+101 |
| 2.0ms | 32× | 0 | valid |
Compiled 121 to 91 computations (24.8% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.7117610693035486e+101 | 2.0463864316030166e+101 |
| 12.0ms | 16× | 0 | valid |
Compiled 121 to 87 computations (28.1% saved)
ival-cosh: 11.0ms (97.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 428299320012.497 | 2932821463522.2026 |
| 3.0ms | 48× | 0 | valid |
Compiled 161 to 118 computations (26.7% saved)
ival-div: 1.0ms (66.4% of total)ival-cosh: 1.0ms (66.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 428299320012.497 | 2932821463522.2026 |
| 3.0ms | 48× | 0 | valid |
Compiled 353 to 253 computations (28.3% saved)
ival-div: 1.0ms (64.1% of total)ival-cosh: 1.0ms (64.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 3.6979840675345794e+51 | 4.667101883226402e+51 |
| 3.0ms | 48× | 0 | valid |
Compiled 167 to 127 computations (24% saved)
ival-div: 1.0ms (68.5% of total)ival-cosh: 1.0ms (68.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 3.7575859798963715e+130 | 7.218242527444952e+130 |
| 1.0ms | 1.5525875626527216e-57 | 6.424676705855113e-56 |
| 3.0ms | 64× | 0 | valid |
Compiled 413 to 319 computations (22.8% saved)
ival-div: 1.0ms (53.1% of total)ival-cosh: 1.0ms (53.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.514932165519593e+75 | 1.6306476039942842e+80 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 763.483002041228 | 14129.163444981961 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.595367550042172e+31 | 6.662485361414366e+32 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 9.466615100764227e+142 | 6.815664522024333e+143 |
| 1.0ms | 1.5525875626527216e-57 | 6.424676705855113e-56 |
| 5.0ms | 96× | 0 | valid |
Compiled 550 to 424 computations (22.9% saved)
ival-div: 1.0ms (35% of total)ival-mult: 1.0ms (35% of total)ival-cosh: 1.0ms (35% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.359303262748928e+81 | 2.969603903083976e+85 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.7967099758610656 | 0.9181205754327995 |
| 2.0ms | 32× | 0 | valid |
Compiled 123 to 89 computations (27.6% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7967099758610656 | 0.9181205754327995 |
Compiled 123 to 89 computations (27.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 923 |
| 1 | 203 | 923 |
| 2 | 336 | 923 |
| 3 | 759 | 923 |
| 4 | 2474 | 923 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z)) |
(if (<=.f64 x #s(literal 8215838851219487/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 3500000000000000229519486671460454831021359104 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z))) |
(if (<=.f64 x #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 3500000000000000229519486671460454831021359104 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z))) |
(if (<=.f64 y #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 180000000000000014518533753111159673947265995092128504870504930352298225409941317528068170976673660928 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 1500000000000 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 1200000000000 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 x #s(literal 8215838851219487/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 70000000000000001722190089948958112194805025507390772143670812084163640693489578788816311668890546610728133015403037239146941775872 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 10000000000000000470601344959054695891559601407866630764278709534898249531392 binary64)) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000005366162204393472 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))) |
(if (<=.f64 x #s(literal 8215838851219487/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))) |
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x)))) |
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z)) |
(if (<=.f64 x #s(literal 8215838851219487/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 3500000000000000229519486671460454831021359104 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z))) |
(if (<=.f64 x #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 3500000000000000229519486671460454831021359104 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z))) |
(if (<=.f64 y #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 180000000000000014518533753111159673947265995092128504870504930352298225409941317528068170976673660928 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 180000000000000014518533753111159673947265995092128504870504930352298225409941317528068170976673660928 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 1500000000000 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 1500000000000 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 1200000000000 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (* y (/ (cosh x) (* z x))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 1200000000000 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 4399999999999999837249374588699575806050811116519424 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 x #s(literal 8215838851219487/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 70000000000000001722190089948958112194805025507390772143670812084163640693489578788816311668890546610728133015403037239146941775872 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 10000000000000000470601344959054695891559601407866630764278709534898249531392 binary64)) (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000005366162204393472 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)))) |
(if (<=.f64 x #s(literal 8215838851219487/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) (if (<=.f64 x #s(literal 400000000000000009498172943460442142963463171131472874989385995468094971816808229027271051286433317651738387653536046430317365267956032629374976 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (/.f64 y z))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))) |
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x)))) |
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (+ (* (* x x) 1/2) 1) x) (/ y z)) (*.f64 #s(approx (/ (+ (* 1/2 y) (/ (/ y x) x)) z) (*.f64 y (/.f64 #s(literal 1/2 binary64) z))) x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 1× | fuel |
Compiled 923 to 159 computations (82.8% saved)
(negabs z)
(negabs y)
Compiled 2 398 to 620 computations (74.1% saved)
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