
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 588.0ms | 8 256× | 0 | valid |
ival-div!: 159.0ms (42.3% of total)ival-cosh: 133.0ms (35.4% of total)ival-mult!: 82.0ms (21.8% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 11 | 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 | 31 | 0 |
| ↳ | (cosh.f64 x) | overflow | 130 | |
| ↳ | (/.f64 y x) | underflow | 31 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 11 | 0 |
| ↳ | (cosh.f64 x) | overflow | 130 | |
| ↳ | (/.f64 y x) | overflow | 36 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 166 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 42 | 0 |
| - | 0 | 214 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 42 | 0 | 0 |
| - | 0 | 0 | 214 |
| number | freq |
|---|---|
| 0 | 214 |
| 1 | 42 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 56 to 25 computations (55.4% saved)
ival-cosh: 7.0ms (47% of total)ival-div!: 6.0ms (40.3% of total)ival-mult!: 2.0ms (13.4% of total)adjust: 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 |
|---|---|---|
| ▶ | 83.8% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 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 |
|---|
#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 x #s(hole binary64 x)) |
#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)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | z | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 14.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 2.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 2.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 350 |
| 0 | 100 | 347 |
| 1 | 544 | 327 |
| 0 | 5082 | 309 |
| 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) |
x |
(/.f64 y x) |
y |
z |
#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 x #s(hole binary64 x)) |
#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)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (*.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) z)) |
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(*.f64 (/.f64 y x) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) y) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 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 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 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
x |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 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)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) 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 (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 (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 x x) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 1/2 binary64))) |
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) |
#s(approx y y) |
#s(approx z z) |
Compiled 867 to 225 computations (74% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 13 | 65 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 53 | 13 | 66 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.1% | (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
| 83.2% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 78.9% | (/.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) | |
| ▶ | 76.7% | (/.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) |
| 69.1% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 89.5% | (/.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) |
| ▶ | 79.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
| 86.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 84.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) | |
| 80.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x)) | |
| 78.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) | |
| ▶ | 51.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
Compiled 532 to 350 computations (34.2% saved)
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
#s(literal 1/2 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)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
(/.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))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
| Outputs |
|---|
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #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 (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (* 2 (/ y (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ 2 (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* 2 (/ 1 z)) (/ (pow x 2) z)) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) z)) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) z)) (* 1/12 (/ 1 z)))) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (pow x 2)) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) x))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 2)) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 x #s(hole binary64 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 (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#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) y) 1/2) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 y)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (* x x) y) #s(hole binary64 (* (pow x 2) y))) |
#s(approx (* x x) #s(hole binary64 (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 (+ (* 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 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 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)) (* x x)) y) #s(hole binary64 y)) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* 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)) (* x x)) (* 1/2 y)) (* x x)) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 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)) #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 (* 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 (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) x))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp 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 (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* x (+ (* 1/2 y) (/ y (pow x 2)))))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* 1/2 (* (pow x 2) y)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))))) |
#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 (+ (* 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 (+ (* 1/720 (* 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)) (* x x)) y) #s(hole binary64 (* 1/720 (* (pow x 6) y)))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) #s(hole binary64 (* (pow x 6) (+ (* 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) #s(hole binary64 (* (pow x 6) (+ (* 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) #s(hole binary64 (* (pow x 6) (+ (* 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 (* 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 (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -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 (* (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 y #s(hole binary64 y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* y (+ 1 (* 1/2 (pow x 2)))))) |
#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) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 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)) #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)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2)))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) x)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (pow x 2)) 1))))) |
#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) #s(hole binary64 (* -1 (* y (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)) 1))))) |
#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 z #s(hole binary64 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | 0 | ((/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x) (* 2 (cosh x)) 2 (cosh x) x z y (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* x x) y) (* x x) 1/2 (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1 (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* 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)) (* x x)) y) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* y (+ (* 1/720 (* x x)) 1/24)) (+ (* 1/720 (* x x)) 1/24) 1/720 (* 1/2 y)) |
| 8.0ms | x | @ | -inf | ((/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x) (* 2 (cosh x)) 2 (cosh x) x z y (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* x x) y) (* x x) 1/2 (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1 (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* 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)) (* x x)) y) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* y (+ (* 1/720 (* x x)) 1/24)) (+ (* 1/720 (* x x)) 1/24) 1/720 (* 1/2 y)) |
| 7.0ms | x | @ | 0 | ((/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x) (* 2 (cosh x)) 2 (cosh x) x z y (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* x x) y) (* x x) 1/2 (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1 (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* 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)) (* x x)) y) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* y (+ (* 1/720 (* x x)) 1/24)) (+ (* 1/720 (* x x)) 1/24) 1/720 (* 1/2 y)) |
| 7.0ms | y | @ | -inf | ((/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x) (* 2 (cosh x)) 2 (cosh x) x z y (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* x x) y) (* x x) 1/2 (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1 (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* 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)) (* x x)) y) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* y (+ (* 1/720 (* x x)) 1/24)) (+ (* 1/720 (* x x)) 1/24) 1/720 (* 1/2 y)) |
| 6.0ms | x | @ | inf | ((/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x) (* 2 (cosh x)) 2 (cosh x) x z y (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* x x) y) (* x x) 1/2 (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) 1/24 1 (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* 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)) (* x x)) y) (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* y (+ (* 1/720 (* x x)) 1/24)) (+ (* 1/720 (* x x)) 1/24) 1/720 (* 1/2 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 387 | 3069 |
| 0 | 436 | 2932 |
| 1 | 1954 | 2900 |
| 0 | 8632 | 2782 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x) |
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 x x) y) |
(*.f64 x x) |
#s(literal 1/2 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)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
(/.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))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #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 (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (* 2 (/ y (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ 2 (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* 2 (/ 1 z)) (/ (pow x 2) z)) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) z)) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) z)) (* 1/12 (/ 1 z)))) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (pow x 2)) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) x))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 2)) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 x #s(hole binary64 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 (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#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) y) 1/2) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 y)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (* x x) y) #s(hole binary64 (* (pow x 2) y))) |
#s(approx (* x x) #s(hole binary64 (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 (+ (* 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 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 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)) (* x x)) y) #s(hole binary64 y)) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* 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)) (* x x)) (* 1/2 y)) (* x x)) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 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)) #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 (* 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 (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) x))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp 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 (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* x (+ (* 1/2 y) (/ y (pow x 2)))))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* 1/2 (* (pow x 2) y)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))))) |
#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 (+ (* 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 (+ (* 1/720 (* 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)) (* x x)) y) #s(hole binary64 (* 1/720 (* (pow x 6) y)))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) #s(hole binary64 (* (pow x 6) (+ (* 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) #s(hole binary64 (* (pow x 6) (+ (* 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) #s(hole binary64 (* (pow x 6) (+ (* 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 (* 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 (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -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 (* (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 y #s(hole binary64 y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* y (+ 1 (* 1/2 (pow x 2)))))) |
#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) #s(hole binary64 (* y (+ 1 (* (pow x 2) (+ 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)) #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)) #s(hole binary64 (* y (+ 1/24 (* 1/720 (pow x 2)))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) x)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (pow x 2)) 1))))) |
#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) #s(hole binary64 (* -1 (* y (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2)) 1))))) |
#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 z #s(hole binary64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) (/.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) y) (*.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) y) (*.f64 (neg.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) y) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 (*.f64 z x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) (/.f64 y x)) |
(*.f64 (/.f64 y z) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) (/.f64 y z)) |
(*.f64 (/.f64 y x) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z)) |
(*.f64 y (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y))) (neg.f64 (neg.f64 (*.f64 z x)))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) y) z) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y)) (neg.f64 (*.f64 z x))) |
(/.f64 (*.f64 y (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) z) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 z x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) y) (*.f64 z x))) |
(+.f64 (/.f64 (*.f64 y (exp.f64 x)) (*.f64 z x)) (/.f64 (*.f64 y (exp.f64 (neg.f64 x))) (*.f64 z x))) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 2 binary64) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (cosh.f64 x) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (*.f64 z x)) (/.f64 (exp.f64 x) (*.f64 z x)) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 z x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 z x))) (*.f64 (/.f64 (exp.f64 x) (*.f64 z x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 z x)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 z x)))) |
(/.f64 (fma.f64 (exp.f64 x) (*.f64 z x) (*.f64 (*.f64 z x) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 z x) (*.f64 z x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 z x)) |
(+.f64 (/.f64 (/.f64 (exp.f64 x) x) z) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) x) z)) |
(+.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) (/.f64 (cosh.f64 x) (*.f64 z x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 z x)) (/.f64 (exp.f64 x) (*.f64 z x))) |
(+.f64 (/.f64 (exp.f64 x) (*.f64 z x)) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 z x))) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (/.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (fma.f64 (exp.f64 x) x (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) |
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (cosh.f64 x) x)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (/.f64 (exp.f64 x) x)) |
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 (neg.f64 x)) x)) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))))) |
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x)))))) |
(fma.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x)))))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x))))))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(+.f64 (cosh.f64 x) (cosh.f64 x)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 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 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
x |
z |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 y z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (*.f64 z x)))) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 x)) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 z x))) |
(/.f64 (/.f64 y z) x) |
(/.f64 (/.f64 y x) z) |
(/.f64 y (*.f64 z x)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 y z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x))) (neg.f64 z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) (/.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64))) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (neg.f64 x) (*.f64 x (neg.f64 y))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x (*.f64 y x)) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 y x (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))) (*.f64 x x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y)) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x) |
(-.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) (/.f64 y x)) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)) (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) y))))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64))) (-.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 y (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) y)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) |
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) y) y) |
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(literal 1/720 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 x x) y)) z) x)) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) y) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 2 binary64))) x)) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) y (*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) y))) z) (*.f64 x x) (/.f64 y z)) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 2 binary64))) x)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 #s(literal 2 binary64) (*.f64 z x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (*.f64 x x) (/.f64 #s(literal 2 binary64) z)) x)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) z) (*.f64 x x) (pow.f64 z #s(literal -1 binary64))) (*.f64 x x) (/.f64 #s(literal 2 binary64) z)) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 x x #s(literal 2 binary64)) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (/ y z) x) (/.f64 (/.f64 y x) z)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (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)) y) (*.f64 x x) y) x)) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (/.f64 y x)) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) y) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y)) |
#s(approx (* (* x x) y) (*.f64 (*.f64 x x) y)) |
#s(approx (* x x) (*.f64 x x)) |
#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) (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) (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 (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
#s(approx (/ y x) (/.f64 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) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) x)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (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)) y) (*.f64 x x) y) x)) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y)) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y)) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) (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)) y) (*.f64 x x) 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)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) y (*.f64 #s(literal 1/2 binary64) 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 (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 #s(literal 1/24 binary64) 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 (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) |
#s(approx (* 2 (cosh x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 y (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) x)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) (*.f64 x x))) |
#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) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#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) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) |
#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) (*.f64 (fma.f64 (/.f64 y (*.f64 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) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) (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) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (*.f64 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)) (* x x)) y) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) #s(literal 1/720 binary64))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (/.f64 y (*.f64 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)) (* x x)) y) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (*.f64 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 6 binary64)))) |
#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)) (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) y)) |
#s(approx (* y (+ (* 1/720 (* x x)) 1/24)) (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (*.f64 x x))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (*.f64 x x))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 (/.f64 y (*.f64 x x)))) x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 x x)))) (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) (neg.f64 (*.f64 (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 y (*.f64 x x))))) (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) (neg.f64 (*.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 y (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx y y) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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))) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x 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)) 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 (* 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 (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.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)) y)) x)) |
#s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) (neg.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.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)) y))) |
#s(approx (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.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 z z) |
Compiled 18 027 to 2 837 computations (84.3% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 552 | 16 | 568 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 560 | 21 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.7% | (/.f64 (/.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) x) z) |
| 90.9% | (/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) | |
| 49.0% | (/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 binary64)) | |
| 83.2% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 79.4% | (/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) | |
| 78.9% | (/.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) | |
| 76.7% | (/.f64 (*.f64 #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 y x)) z) | |
| 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 69.1% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 76.4% | (/.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) |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 90.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) x) x y) x)) z) | |
| 86.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) | |
| 39.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) | |
| ▶ | 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
| 25.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) z) | |
| 84.2% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) | |
| ▶ | 78.1% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
| ✓ | 51.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| ▶ | 49.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
Compiled 1 034 to 684 computations (33.8% saved)
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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))) |
(*.f64 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)) |
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) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.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) |
(*.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)) |
#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))) |
(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)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(/.f64 y x) |
(/.f64 (/.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) x) z) |
(/.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) x) |
(*.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) |
#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)) |
| 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 (/ (+ (* (+ (* (* 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (/ y x))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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) #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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ y (* z x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #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 (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 y)) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 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 (+ (* 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 (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (/ y x) #s(hole binary64 (/ 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 (* (cosh x) y) #s(hole binary64 y)) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))))) |
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#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 (/ (* (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 (+ (* 1/720 (* 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* 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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 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) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (* 1/2 (/ (* (pow x 2) y) z)))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (* 1/2 (* (pow x 2) y)))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (* (pow x 2) (+ (* 1/2 y) (/ y (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 (+ (* 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 (/ (/ (* (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) y) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))))) |
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/24) 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 (+ (* (* 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 (+ (* 1/720 (* 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 (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* 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) 1/2) y) y) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 #s(hole binary64 y)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) z))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (* y (+ 1 (* 1/2 (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 (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) z)))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (pow x 2)) 1))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 58.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/ (+ (* (* (* x x) 1/2) y) y) z) (+ (* (* (* x x) 1/2) y) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ y x) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2)) |
| 52.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/ (+ (* (* (* x x) 1/2) y) y) z) (+ (* (* (* x x) 1/2) y) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ y x) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2)) |
| 6.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/ (+ (* (* (* x x) 1/2) y) y) z) (+ (* (* (* x x) 1/2) y) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ y x) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2)) |
| 5.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/ (+ (* (* (* x x) 1/2) y) y) z) (+ (* (* (* x x) 1/2) y) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ y x) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2)) |
| 5.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/ (+ (* (* (* x x) 1/2) y) y) z) (+ (* (* (* x x) 1/2) y) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (* (* x x) 1/24) (/ y x) (/ (/ (* (cosh x) y) x) z) (/ (* (cosh x) y) x) (* (cosh x) y) (cosh x) (+ (* (+ (* (* x x) 1/24) 1/2) (* x x)) 1) (+ (* (* x x) 1/24) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 4088 |
| 0 | 449 | 3894 |
| 1 | 1941 | 3869 |
| 0 | 8570 | 3757 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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))) |
(*.f64 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)) |
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) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
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#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)))) |
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#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)))))))) |
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#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (* y (+ 1 (* 1/2 (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 (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) z)))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (pow x 2)) 1))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) z))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (* (cosh x) 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))))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (/ (* (cosh x) 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)))) (neg.f64 z)) |
(/.f64 #s(approx (/ (* (cosh x) 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))) z) |
#s(approx (/ (* (cosh x) 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)) (* 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)) |
(*.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 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)) |
(/.f64 (neg.f64 (neg.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)) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.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)) y)) (neg.f64 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)) y) x) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) x) (/.f64 (*.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)) x) x) y) x)) |
(+.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) x) (/.f64 (*.f64 y (*.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) x)) x)) |
y |
(/.f64 (-.f64 (*.f64 (/.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)) x) x) x) (/.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)) x) x) x)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.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)) x) x) x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.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)) x) x) x) (/.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)) x) x) x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.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)) x) x) x))) |
(/.f64 (+.f64 (pow.f64 (/.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)) x) x) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.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)) x) x) x) (/.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)) x) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.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)) x) x) x) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.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)) x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (/.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)) x) x) x) (/.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)) x) x) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.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)) x) x) x))))) |
(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.f64 x))) |
(/.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)) x) x) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.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)) x) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.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) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.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) x))) (*.f64 x x)) |
(/.f64 (neg.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))) (neg.f64 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) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 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))) x)) |
(+.f64 (/.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)) x) x) x) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.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)) x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 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))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 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))) (*.f64 (neg.f64 (*.f64 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))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 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))))))) |
(/.f64 (neg.f64 (-.f64 (pow.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)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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)) x) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.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)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.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) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.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)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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)) x) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.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)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.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) x)))))) |
(/.f64 (-.f64 (pow.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)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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)) x) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.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) x))) |
(/.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.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)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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)) x) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.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) 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) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 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)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.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)) x) x) #s(literal 2 binary64)) (-.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)) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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)) x) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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) x))) (/.f64 (pow.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)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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) x)))) |
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x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 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)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) |
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 y x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) 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) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/.f64 y x)) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x)) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/.f64 (fma.f64 #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) (/.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)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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)) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (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))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) |
#s(approx (+ (* (* x x) 1/720) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (/ y (* z x)) (/.f64 (/.f64 y x) z)) |
#s(approx (* z x) (*.f64 z x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (/.f64 y z)) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z)) |
#s(approx (+ (* (* (* x x) 1/2) y) y) y) |
#s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (* (* x x) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 #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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (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 (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (* x x) 1/24) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) z) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 y x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (/ (* (cosh x) y) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* (cosh x) y) y) |
#s(approx (* (cosh x) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y)) |
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y)) |
#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) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (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 (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) z) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (cosh x) y) x) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 1/2 binary64))) |
#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) (*.f64 (fma.f64 (/.f64 y (*.f64 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) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) (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) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 #s(literal 1/24 binary64) x) (/.f64 y x) (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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) y)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 y (*.f64 x x)) #s(literal 1/24 binary64)))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (*.f64 (fma.f64 #s(literal 1/720 binary64) y (fma.f64 (/.f64 #s(literal 1/24 binary64) x) (/.f64 y x) (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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (*.f64 x x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) z) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) z) x)) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) z) (*.f64 x x))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) |
#s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) (*.f64 x x))) |
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) |
#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) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) z) (/.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (* (cosh x) y) x) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (cosh x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 1/2 binary64))) |
#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) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 x x)))) (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) (neg.f64 (*.f64 (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 y (*.f64 x x))))) (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) (neg.f64 (*.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 y (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.f64 (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 y (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.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 y (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (neg.f64 (/.f64 (/.f64 y (*.f64 x x)) z))) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 y) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z)) |
#s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (neg.f64 (*.f64 y (/.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.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 x x)) #s(literal 1 binary64)) x)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y)) (*.f64 z x))) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y) z))) |
#s(approx (+ (* (* (* x x) 1/2) y) y) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y))) |
#s(approx z z) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (+ (* (* (* x x) 1/2) y) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z)) |
Compiled 25 305 to 3 024 computations (88% saved)
33 alts after pruning (31 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 567 | 20 | 587 |
| Fresh | 4 | 11 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 575 | 33 | 608 |
| Status | Accuracy | Program |
|---|---|---|
| 88.7% | (/.f64 (/.f64 (*.f64 #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))) y) x) z) | |
| 88.5% | (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y) x) z) | |
| 48.8% | (/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) | |
| 90.9% | (/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) | |
| 49.0% | (/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 binary64)) | |
| 83.2% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 78.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 76.8% | (/.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))) y) (*.f64 z x)) | |
| 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
| 69.1% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 90.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) x) x y) x)) z) | |
| 86.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ▶ | 39.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
| 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.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 x x) #s(literal 1 binary64)) x)))) z) | |
| ▶ | 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
| ▶ | 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) | |
| 25.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) z) | |
| 76.2% | (*.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))) z) (/.f64 y x)) | |
| 84.2% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) | |
| 48.5% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 y (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y))) (*.f64 (*.f64 z x) (*.f64 z x)))) | |
| 58.9% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) | |
| 39.3% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) | |
| 69.2% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 78.4% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) | |
| 70.1% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) | |
| 68.9% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| ▶ | 27.1% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
| ✓ | 51.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| ✓ | 49.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
Compiled 1 850 to 1 208 computations (34.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x))) |
(*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)) |
y |
(/.f64 (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) x #s(literal 1 binary64)) 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) x #s(literal 1 binary64)) |
(*.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) |
(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) |
z |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)) |
(*.f64 x (/.f64 y z)) |
(/.f64 y z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) |
(/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(/.f64 y x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| 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 (/ (+ (* (+ (* (* 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) #s(hole binary64 (/ y x))) |
#s(approx (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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) #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 (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 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 (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 1/24)) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #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 (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (* x (/ y z)) 1/2) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (* x (/ y z)) #s(hole binary64 (/ (* x y) z))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 y)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (* (* x x) 1/2) y) #s(hole binary64 (* 1/2 (* (pow x 2) y)))) |
#s(approx (* (* x x) 1/2) #s(hole binary64 (* 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 (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (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 (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (/ y x))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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) #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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (* (* x x) 1/720) #s(hole binary64 (* 1/720 (pow x 2)))) |
#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 (+ (* 1/720 (* 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 (/ (+ (* (* (+ (* (+ (* (* 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 (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 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) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5)))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) 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) #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) #s(hole binary64 (* 1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* x (+ (* 1/2 y) (/ y (pow x 2)))))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* 1/2 (* (pow x 2) y)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* (pow x 2) (+ (* 1/2 y) (/ y (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 (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* 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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 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) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#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 (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 (/ (+ (* (* (+ (* (+ (* (* 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) #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) 1/2) y) y) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* 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 (/ (+ (* (+ (* (* 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 #s(hole binary64 y)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* y (+ 1 (* 1/2 (pow x 2)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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) #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 (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) x)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (pow x 2)) 1))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (* (* x (/ y z)) 1/2) (* x (/ y z)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* (* x x) 1/2) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* 1/24 (* x x)) 1/2) x) x) 1) (* (+ (* 1/24 (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* (* x x) 1/720)) |
| 7.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (* (* x (/ y z)) 1/2) (* x (/ y z)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* (* x x) 1/2) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* 1/24 (* x x)) 1/2) x) x) 1) (* (+ (* 1/24 (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* (* x x) 1/720)) |
| 5.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (* (* x (/ y z)) 1/2) (* x (/ y z)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* (* x x) 1/2) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* 1/24 (* x x)) 1/2) x) x) 1) (* (+ (* 1/24 (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* (* x x) 1/720)) |
| 5.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (* (* x (/ y z)) 1/2) (* x (/ y z)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* (* x x) 1/2) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* 1/24 (* x x)) 1/2) x) x) 1) (* (+ (* 1/24 (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* (* x x) 1/720)) |
| 5.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* x x) x 1/720 1/24 1/2 1 z (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (* (* x (/ y z)) 1/2) (* x (/ y z)) (/ y z) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (* x x) y) 1/2) y) x) (+ (* (* (* x x) y) 1/2) y) (* (* (* x x) 1/2) y) (* (* x x) 1/2) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* 1/24 (* x x)) 1/2) x) x) 1) (* (+ (* 1/24 (* x x)) 1/2) x) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) 1/24) (* (* x x) 1/720)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 5292 |
| 0 | 494 | 5086 |
| 1 | 2089 | 5070 |
| 0 | 8329 | 4856 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x))) |
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y |
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(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
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x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
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#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
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#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
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#s(approx (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2)))))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) #s(hole binary64 1/2)) |
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#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (/ y x))) |
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#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
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#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1)) |
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#s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* 1/2 (/ (* x y) z)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* x (+ (* 1/2 y) (/ y (pow x 2)))))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* 1/2 (* (pow x 2) y)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* (pow x 2) (+ (* 1/2 y) (/ y (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 (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (* (+ (* 1/24 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))) |
#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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* 1/720 (* (pow x 5) y)))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* 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 (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/720 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 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) #s(hole binary64 (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#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 (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* y (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 (/ (+ (* (* (+ (* (+ (* (* 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) #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) 1/2) y) y) z) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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 (/ (+ (* (+ (* (+ (* (* 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 (/ (+ (* (+ (* (* 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 (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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 #s(hole binary64 y)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (/ (* y (+ 1 (* 1/2 (pow x 2)))) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* y (+ 1 (* 1/2 (pow x 2)))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) 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) #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 (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) #s(hole binary64 (* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) x)))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (pow x 2)) 1))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y))))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y)))) (neg.f64 z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y))) z) |
#s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 (/.f64 (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) 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) (*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y)) |
(*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y) |
(*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (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) x #s(literal 1 binary64)) y))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (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) x #s(literal 1 binary64)) y) x) |
(/.f64 (neg.f64 (*.f64 (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) x #s(literal 1 binary64)) y)) (neg.f64 x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) x) (/.f64 (*.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)) x) x) y) x)) |
(+.f64 (/.f64 (*.f64 y #s(literal 1 binary64)) x) (/.f64 (*.f64 y (*.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) x)) x)) |
y |
(/.f64 (+.f64 (pow.f64 (/.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)) x) x) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.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)) x) x) x) (/.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)) x) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.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)) x) x) x) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.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)) x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (/.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)) x) x) x) (/.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)) x) x) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.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)) x) x) x))))) |
(/.f64 (neg.f64 (neg.f64 (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) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.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)) x) x) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.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)) x) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.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) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.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) x))) (*.f64 x x)) |
(/.f64 (neg.f64 (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) x #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (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) x #s(literal 1 binary64)) x) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 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))) x)) |
(+.f64 (/.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)) x) x) x) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.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)) x) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 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))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 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))) (*.f64 (neg.f64 (*.f64 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))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 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))))))) |
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#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) |
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#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
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#s(approx (* x (/ y z)) (*.f64 (/.f64 y z) x)) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (/.f64 y x)) |
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#s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) |
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#s(approx (* 1/24 (* x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (/ y x) (/.f64 y x)) |
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#s(approx (* (* x x) 1/720) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
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#s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
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#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
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#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) x)) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) |
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#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) |
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#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
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#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 x #s(literal -6 binary64)))))) |
#s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 x x)))) (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) (neg.f64 (*.f64 (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 y (*.f64 x x))))) (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) (neg.f64 (*.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 y (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.f64 (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 y (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.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 y (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (neg.f64 (/.f64 (/.f64 y (*.f64 x x)) z))) x))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 (/.f64 y (*.f64 x x)))) x))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) y (*.f64 #s(literal -1/24 binary64) (/.f64 y (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.f64 (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 y (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (neg.f64 (*.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 y (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))) (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) (*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y)) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (*.f64 (/.f64 (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) x #s(literal 1 binary64)) x) y)) |
#s(approx y y) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y y)) |
#s(approx (* y (/ (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) x)) (*.f64 (/.f64 (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) 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) (neg.f64 (*.f64 y (/.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.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 x x)) #s(literal 1 binary64)) x)))) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y)) (*.f64 z x))) |
#s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y) x))) |
#s(approx (+ (* (* (* x x) y) 1/2) y) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) y))) |
#s(approx z z) |
#s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
Compiled 27 474 to 2 945 computations (89.3% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 498 | 5 | 503 |
| Fresh | 2 | 24 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 502 | 34 | 536 |
| Status | Accuracy | Program |
|---|---|---|
| 88.7% | (/.f64 (/.f64 (*.f64 #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))) y) x) z) | |
| 88.5% | (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y) x) z) | |
| 48.8% | (/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) | |
| 90.9% | (/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) | |
| 49.0% | (/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 binary64)) | |
| 83.2% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 78.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 76.8% | (/.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))) y) (*.f64 z x)) | |
| 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ✓ | 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
| 69.1% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) | |
| 90.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) x) x y) x)) z) | |
| 86.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ✓ | 39.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
| 91.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) z) | |
| 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) | |
| ✓ | 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
| 90.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) | |
| 48.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) | |
| 25.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) z) | |
| 76.2% | (*.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))) z) (/.f64 y x)) | |
| 84.2% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) | |
| 48.5% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 y (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y))) (*.f64 (*.f64 z x) (*.f64 z x)))) | |
| 58.9% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) | |
| 39.3% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) | |
| 69.2% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 78.4% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) | |
| 70.1% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) | |
| 68.9% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 27.1% | #s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) | |
| ✓ | 51.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| ✓ | 49.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
Compiled 2 622 to 987 computations (62.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
(/.f64 (/.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) x) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.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 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) 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 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 y (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y))) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.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 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.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 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
5 calls:
| 17.0ms | z |
| 15.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | y |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 96.1% | 1 | x |
| 97.9% | 2 | y |
| 99.0% | 2 | z |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
(/.f64 (/.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) x) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.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 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) 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 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 y (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y))) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.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 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
5 calls:
| 14.0ms | y |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 13.0ms | z |
| 13.0ms | x |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 94.2% | 2 | y |
| 96.8% | 3 | z |
| 95.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.9% | 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 (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
(/.f64 (/.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) x) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.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 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) 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 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 y (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y))) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.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 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
1 calls:
| 56.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
(/.f64 (/.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) x) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) z) (*.f64 x x) (/.f64 y z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (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) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.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 x x) #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 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)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.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) 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 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 y (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y))) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.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 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) y)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) x) z) y) #s(literal 2 binary64)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 y z)) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x))) z) |
4 calls:
| 113.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 13.0ms | z |
| 13.0ms | x |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | z |
| 94.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 94.9% | 2 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
(/.f64 (/.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) x) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 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)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)))) z) |
5 calls:
| 15.0ms | x |
| 12.0ms | z |
| 10.0ms | y |
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 2 | y |
| 90.9% | 1 | z |
| 90.9% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.9% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.1% | 2 | x |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
(/.f64 (/.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) x) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) z (*.f64 z y)) (*.f64 z z)) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 (*.f64 #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))) y) x) z) |
5 calls:
| 12.0ms | x |
| 11.0ms | z |
| 9.0ms | y |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.7% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 88.7% | 1 | z |
| 91.1% | 2 | y |
| 92.0% | 2 | x |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) 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))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 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) |
(/.f64 (*.f64 #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 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y) x) z) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 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))) y) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y 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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.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))) y) (*.f64 z x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
5 calls:
| 8.0ms | y |
| 8.0ms | z |
| 7.0ms | x |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 3 | z |
| 85.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 85.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 85.0% | 3 | y |
| 86.9% | 2 | x |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y y) z) x)) |
(/.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) x) z) y) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
4 calls:
| 6.0ms | x |
| 6.0ms | z |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 83.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 81.9% | 2 | z |
| 82.4% | 2 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) z) x)) |
3 calls:
| 7.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 4.0ms | y |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 1 | y |
| 83.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 83.1% | 2 | (/.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 (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
| Outputs |
|---|
#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 (+ (* (* (* x x) y) 1/2) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) x)) z) |
4 calls:
| 4.0ms | x |
| 4.0ms | z |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 2 | z |
| 82.2% | 3 | x |
| 75.7% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 75.5% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (/.f64 #s(approx (+ (* (* (* x x) 1/2) y) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
4 calls:
| 71.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 72.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 69.2% | 1 | y |
| 71.2% | 2 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) 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 (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) y) x)) z) |
(/.f64 (/.f64 #s(approx (* (cosh x) y) y) x) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (+ (* (* y (+ (* 1/720 (* x x)) 1/24)) (* x x)) (* 1/2 y)) (* x x)) y) x) (*.f64 y (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) x)))) z) |
| Outputs |
|---|
#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)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) z) |
5 calls:
| 3.0ms | x |
| 3.0ms | y |
| 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 |
|---|---|---|
| 56.1% | 2 | y |
| 68.4% | 3 | x |
| 56.1% | 2 | z |
| 56.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 57.1% | 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 (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) #s(approx (/ (+ (* (* (* x x) y) 1/2) y) x) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) z) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(approx (/ (/ (+ (* (* (* x x) 1/2) y) y) z) x) (*.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 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 | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 1 | y |
| 49.4% | 1 | z |
| 49.4% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 49.4% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 49.4% | 1 | x |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.452157246266647e+179 | 4.8032646606178955e+179 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.2143223701856488e+41 | 1.367835178967384e+43 |
| 17.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
| 18.0ms | 256× | 0 | valid |
Compiled 699 to 492 computations (29.6% saved)
ival-cosh: 3.0ms (43.1% of total)ival-div!: 3.0ms (43.1% of total)ival-mult!: 1.0ms (14.4% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2143223701856488e+41 | 1.367835178967384e+43 |
Compiled 501 to 321 computations (35.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
Compiled 695 to 427 computations (38.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.8973982299519406e-268 | 1.561544450150268e-266 |
| 9.0ms | 112× | 0 | valid |
Compiled 543 to 342 computations (37% saved)
ival-cosh: 4.0ms (67% of total)ival-div!: 1.0ms (16.8% of total)adjust: 0.0ms (0% of total)ival-mult!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
Compiled 317 to 256 computations (19.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
Compiled 380 to 292 computations (23.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.595116981383953e+145 | 1.0820617357802496e+152 |
| 7.0ms | 144× | 0 | valid |
Compiled 497 to 364 computations (26.8% saved)
ival-cosh: 2.0ms (51.4% of total)ival-mult!: 1.0ms (25.7% of total)ival-div!: 1.0ms (25.7% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.260483013337399e+72 | 4.187970386993119e+76 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.09042138510582e+63 | 3.095435672597055e+67 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 0.002815964441661644 | 3990.1908370494407 |
| 1.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
| 29.0ms | 144× | 0 | valid |
Compiled 605 to 472 computations (22% saved)
ival-cosh: 23.0ms (90.9% of total)ival-mult!: 1.0ms (4% of total)ival-div!: 1.0ms (4% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.002815964441661644 | 3990.1908370494407 |
| 1.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
Compiled 659 to 508 computations (22.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.9840182873116e+201 | 5.622553108999009e+205 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.002815964441661644 | 3990.1908370494407 |
| 1.0ms | 2.075002915557468e-265 | 1.888871775496091e-258 |
Compiled 587 to 463 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.002815964441661644 | 3990.1908370494407 |
Compiled 371 to 283 computations (23.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.002815964441661644 | 3990.1908370494407 |
Compiled 443 to 328 computations (26% saved)
| 1× | fuel |
Compiled 949 to 174 computations (81.7% saved)
(negabs z)
(negabs y)
(negabs x)
Compiled 9 522 to 4 658 computations (51.1% saved)
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