
Time bar (total: 10.5s)
| 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)
| 529.0ms | 8 256× | 0 | valid |
ival-div: 147.0ms (47.6% of total)ival-cosh: 97.0ms (31.4% of total)ival-mult: 55.0ms (17.8% of total)ival-true: 7.0ms (2.3% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 13 | 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 | 18 | 0 |
| ↳ | (cosh.f64 x) | overflow | 121 | |
| ↳ | (/.f64 y x) | underflow | 18 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 13 | 0 |
| ↳ | (cosh.f64 x) | overflow | 121 | |
| ↳ | (/.f64 y x) | overflow | 39 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 160 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31 | 0 |
| - | 0 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31 | 0 | 0 |
| - | 0 | 0 | 225 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 78 to 32 computations (59% saved)
ival-div: 7.0ms (35.7% of total)ival-mult: 6.0ms (30.6% of total)ival-cosh: 6.0ms (30.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 87 |
| 1 | 106 | 75 |
| 2 | 373 | 75 |
| 3 | 1504 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 55 | 8 |
| 3 | 160 | 8 |
| 4 | 804 | 8 |
| 5 | 6073 | 8 |
| 0 | 8713 | 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 z)
(negabs y)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.0% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 55 | 22 |
| 3 | 160 | 22 |
| 4 | 804 | 22 |
| 5 | 6073 | 22 |
| 0 | 8713 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 3.1638910933522864 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 3.5859375000000004 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 46 to 16 computations (65.2% saved)
ival-div: 3.0ms (36.3% of total)ival-cosh: 3.0ms (36.3% of total)ival-mult: 2.0ms (24.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 214 |
| 1 | 255 | 200 |
| 2 | 1037 | 196 |
| 3 | 4655 | 194 |
| 0 | 8287 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y x) z) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) z) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 37 | 19 |
| 2 | 222 | 19 |
| 3 | 2340 | 19 |
| 0 | 9105 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x y) z) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 z (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 x y) z) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
(*.f64 (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (/.f64 (cosh.f64 x) x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) z) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cosh.f64 x) x) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) x) (pow.f64 (/.f64 (neg.f64 z) (cosh.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (/.f64 (neg.f64 y) x) (*.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 y x) z))) |
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x)) |
(*.f64 (*.f64 y (cosh.f64 x)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (cosh.f64 x) x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cosh.f64 x) z))) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) z))) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) (cosh.f64 x))) |
(*.f64 y (*.f64 (/.f64 (cosh.f64 x) x) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z))) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) |
(fabs.f64 (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x)) |
Compiled 13 298 to 2 295 computations (82.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 759 | 13 | 772 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 760 | 13 | 773 |
| Status | Accuracy | Program |
|---|---|---|
| 94.7% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) | |
| ▶ | 95.0% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 82.2% | (/.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) | |
| 76.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 68.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 85.8% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) | |
| ▶ | 81.6% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
| ▶ | 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
| ▶ | 85.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
| ▶ | 49.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 93.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x)) | |
| 85.6% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| 72.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
Compiled 396 to 294 computations (25.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) z) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| cost-diff | 320 | (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 320 | (*.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| cost-diff | 320 | (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (/.f64 (cosh.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 312 |
| 0 | 63 | 304 |
| 1 | 135 | 300 |
| 2 | 471 | 300 |
| 3 | 1977 | 297 |
| 0 | 8623 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
y |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)) |
(*.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
y |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
z |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(cosh.f64 x) |
x |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(*.f64 y (/.f64 (cosh.f64 x) x)) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x (/.f64 y x))) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x (/.f64 y x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
y |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x)) |
(*.f64 y (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 x #s(literal 1 binary64)) |
x |
x |
#s(literal 1 binary64) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y) |
y |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
z |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) |
(cosh.f64 x) |
x |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 3.8298635927287368 | (*.f64 (/.f64 x y) z) | |
| accuracy | 6.538681152790962 | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| accuracy | 0.30700077461207986 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 2.4618449849544817 | (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) | |
| accuracy | 3.1638910933522864 | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| accuracy | 6.295266738578099 | #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) | |
| accuracy | 2.1260956445334815 | (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 3.1638910933522864 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| accuracy | 3.458429915711772 | (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) | |
| accuracy | 12.421404956952571 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 3.1638910933522864 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| accuracy | 29.874610436318683 | #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (cosh.f64 x) x) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 (cosh.f64 x) x) y) | |
| accuracy | 3.1638910933522864 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 98.0ms | 256× | 0 | valid |
Compiled 555 to 72 computations (87% saved)
ival-mult: 39.0ms (49.5% of total)ival-div: 19.0ms (24.1% of total)ival-add: 11.0ms (14% of total)const: 7.0ms (8.9% of total)ival-cosh: 3.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
x |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(/ (* x z) y) |
(/ x y) |
(* 1/24 (* x y)) |
(* x (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* x (* y (+ 1/24 (* 1/720 (pow x 2))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | inf | ((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24)) |
| 10.0ms | z | @ | inf | ((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | y | @ | -inf | ((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | x | @ | -inf | ((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | y | @ | 0 | ((/ (* (/ (cosh x) x) y) z) (* (/ (cosh x) x) y) (/ (cosh x) x) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (* x 1) (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (cosh x) (* (/ x y) z)) (* (/ x y) z) (/ x y) (* y (* (+ (* 1/720 (* x x)) 1/24) x)) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 658 |
| 1 | 514 | 630 |
| 2 | 2091 | 604 |
| 3 | 7411 | 602 |
| 0 | 8406 | 556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
x |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(/ (* x z) y) |
(/ x y) |
(* 1/24 (* x y)) |
(* x (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* 1/720 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* x (* y (+ 1/24 (* 1/720 (pow x 2))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) z) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 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) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(/.f64 (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)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
x |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.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)) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ x y) |
(/.f64 x y) |
(* 1/24 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/24 binary64)) |
(* x (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/24 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) y (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/720 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/720 binary64)) |
(* (pow x 3) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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)) y) |
(* x (* y (+ 1/24 (* 1/720 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) y) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) 1/2))) |
(*.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)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 229 |
| 0 | 63 | 223 |
| 1 | 251 | 220 |
| 2 | 1848 | 220 |
| 0 | 8348 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (cosh.f64 x) (neg.f64 (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (cosh.f64 x)))) (/.f64 (/.f64 y z) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) (neg.f64 x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) z)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 y x)) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) z))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (/.f64 z y))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 z (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 y x) z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y x) z) (pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 y z) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y (/.f64 (cosh.f64 x) x))) |
(*.f64 (neg.f64 (cosh.f64 x)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) (*.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 y x) (pow.f64 (/.f64 z (cosh.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) z))) |
(*.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 y (pow.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) z))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y (*.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z)) |
(pow.f64 (/.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 x (cosh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y z))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (*.f64 (neg.f64 x) z))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cosh.f64 x)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z)))) |
(/.f64 (/.f64 (cosh.f64 x) z) (/.f64 x y)) |
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 z #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z)))) |
(/.f64 (neg.f64 (*.f64 y (cosh.f64 x))) (neg.f64 (*.f64 z x))) |
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 z x)) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x))))) |
(/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (neg.f64 z) (/.f64 x y))) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 (/.f64 x (cosh.f64 x)) z))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x)))) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) |
(/.f64 y (*.f64 (/.f64 x (cosh.f64 x)) z)) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)) z)) |
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (/.f64 x y) z))) |
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) (neg.f64 z))) |
(neg.f64 (/.f64 (cosh.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) (/.f64 (cosh.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y (/.f64 (cosh.f64 x) x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z)))) |
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z))) (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z)))) |
(+.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 x y) z)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) z))) |
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (cosh.f64 x)))) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 x (cosh.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) x)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) (/.f64 (cosh.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (cosh.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (cosh.f64 x) x)) |
(*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (cosh.f64 x) x))) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) (cosh.f64 x)) |
(*.f64 y (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 (/.f64 x y) (cosh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x))) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (cosh.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (cosh.f64 x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 y))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y)) (neg.f64 (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 x y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) #s(literal 2 binary64)) |
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(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (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)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/13824 binary64))) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x))) x #s(literal 1/24 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
Compiled 23 882 to 3 297 computations (86.2% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 832 | 23 | 855 |
| Fresh | 3 | 5 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 839 | 29 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.7% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 89.2% | (/.f64 (*.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))) x) y) z) | |
| 74.7% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) | |
| 49.1% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| 76.6% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 68.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 85.8% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) | |
| 81.4% | (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 78.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 79.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.f64 y x))) z) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 82.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) | |
| ▶ | 85.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
| 59.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z) | |
| 82.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ✓ | 49.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 49.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) | |
| 71.4% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 65.7% | (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 49.8% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) | |
| 86.5% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) | |
| 49.0% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) | |
| ▶ | 87.0% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
| ▶ | 75.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
| ▶ | 51.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
| 72.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
Compiled 1 208 to 843 computations (30.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.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)) y) (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) | |
| cost-diff | 320 | (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) | |
| cost-diff | 320 | (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) | |
| cost-diff | 320 | (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 y (cosh.f64 x)) | |
| cost-diff | 0 | (/.f64 (*.f64 y (cosh.f64 x)) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 349 |
| 0 | 70 | 349 |
| 1 | 134 | 349 |
| 2 | 400 | 349 |
| 3 | 1847 | 342 |
| 0 | 8481 | 335 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(*.f64 y (cosh.f64 x)) |
y |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
y |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) |
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) |
(fma.f64 (*.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)) y) (*.f64 x x) y) |
(*.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)) y) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
y |
z |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(*.f64 y (cosh.f64 x)) |
(*.f64 (cosh.f64 x) y) |
y |
(cosh.f64 x) |
x |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) z)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
y |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) x) y (/.f64 y x)) z)) |
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) |
(/.f64 (fma.f64 (*.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)) x) y (/.f64 y x)) z) |
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) |
(fma.f64 (*.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)) y) (*.f64 x x) y) |
(*.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)) y) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.127816401386497 | (*.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)) y) | |
| accuracy | 2.365092308752997 | (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) | |
| accuracy | 4.357377805348831 | (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) | |
| accuracy | 8.4618438208127 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) | |
| accuracy | 2.1260956445334815 | (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) | |
| accuracy | 3.1638910933522864 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) | |
| accuracy | 3.458429915711772 | (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x) | |
| accuracy | 12.421404956952571 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) | |
| accuracy | 1.4440801589895378 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) | |
| accuracy | 3.060932029908292 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) | |
| accuracy | 9.094573595377557 | (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) | |
| accuracy | 21.538555546598857 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 5.379779983474819 | (/.f64 (/.f64 y z) x) | |
| accuracy | 29.378510862145895 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 y (cosh.f64 x)) z) | |
| accuracy | 0.00390625 | (*.f64 y (cosh.f64 x)) | |
| accuracy | 3.393616034556251 | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| 199.0ms | 256× | 0 | valid |
Compiled 651 to 83 computations (87.3% saved)
ival-div: 101.0ms (56.4% of total)ival-mult: 62.0ms (34.6% of total)ival-add: 7.0ms (3.9% of total)const: 6.0ms (3.3% of total)ival-cosh: 3.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) |
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) |
(fma.f64 (*.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)) y) (*.f64 x x) y) |
(*.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)) y) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 55.0ms | y | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y)) |
| 12.0ms | y | @ | 0 | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y)) |
| 6.0ms | y | @ | inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y)) |
| 5.0ms | z | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y)) |
| 5.0ms | x | @ | inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ (/ y z) x) (/ y z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (/ (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* (* (+ (* (* x x) 1/24) 1/2) x) x) y) y) (/ (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) x) (/ (* (/ (cosh x) x) y) z) (/ (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) z) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (* x x)) y) (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1372 |
| 1 | 759 | 1280 |
| 2 | 3178 | 1164 |
| 0 | 8253 | 1074 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(*.f64 (/.f64 (/.f64 (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)) x) z) y) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(*.f64 (/.f64 (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)) z) y) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(*.f64 (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)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(*.f64 y (/.f64 (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)) x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))) |
(*.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)) y) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (/ (* x y) z)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) x) x) z) |
(* 1/2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) x) x) |
(* 1/24 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) z) #s(literal 1/720 binary64)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(*.f64 (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) z)) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) z) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) z)) (pow.f64 x #s(literal 6 binary64))) |
(* 1/720 (* (pow x 6) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) y) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 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))) |
(* 1/720 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 y (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) z)) (pow.f64 x #s(literal 5 binary64))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 (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)) x) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (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)) z) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(*.f64 (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)) y) |
(* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(*.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)) y) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(*.f64 (/.f64 (/.f64 (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)) x) z) y) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(*.f64 (/.f64 (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)) z) y) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(*.f64 (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)) y) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(*.f64 (/.f64 (/.f64 (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)) x) z) y) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(*.f64 (/.f64 (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)) z) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 271 |
| 0 | 70 | 271 |
| 1 | 277 | 271 |
| 2 | 2077 | 271 |
| 0 | 8776 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 y (cosh.f64 x)) z) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) |
(/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
(/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) |
(fma.f64 (*.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)) y) (*.f64 x x) y) |
(*.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)) y) |
| Outputs |
|---|
(*.f64 (/.f64 (cosh.f64 x) (/.f64 x (neg.f64 y))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) (/.f64 x #s(literal 1 binary64))) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z))) |
(*.f64 (/.f64 (neg.f64 (/.f64 y x)) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (/.f64 y z) #s(literal 2 binary64))) |
(*.f64 (/.f64 y (/.f64 x (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 (/.f64 y z) x)) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) z) (/.f64 (cosh.f64 x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 y x)) z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) z) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) x)) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (cosh.f64 x) z)) x)) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (neg.f64 (cosh.f64 x)) y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) (/.f64 y (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (cosh.f64 x) y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (cosh.f64 x) x) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (cosh.f64 x) x) y)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 y z) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 (cosh.f64 x)) x)) |
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(pow.f64 (/.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) z) |
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(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (cosh.f64 x) y))) |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (/.f64 (cosh.f64 x) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (cosh.f64 x) y))) #s(literal -1 binary64))) |
(*.f64 (cosh.f64 x) y) |
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(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
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(pow.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 y z)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 z y))) |
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x) |
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(/.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (*.f64 z x)))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 y z)))) |
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(/.f64 (neg.f64 y) (neg.f64 (*.f64 z x))) |
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(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 x)) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) |
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(/.f64 (/.f64 y z) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 y z) x) |
(/.f64 y (*.f64 z x)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 (neg.f64 y) z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z x))) (/.f64 y (neg.f64 (*.f64 z x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x)) (/.f64 y (*.f64 (neg.f64 z) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
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(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
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(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)))) |
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(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
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(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)) |
(fma.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) (*.f64 y #s(literal 1/2 binary64))) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (*.f64 y #s(literal 1/2 binary64))) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
Compiled 40 569 to 4 244 computations (89.5% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 074 | 30 | 1 104 |
| Fresh | 13 | 10 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 090 | 43 | 1 133 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.7% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| ▶ | 88.9% | (/.f64 (/.f64 (*.f64 y #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)))) z) x) |
| 85.1% | (/.f64 (/.f64 (*.f64 y #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) x) | |
| 74.7% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) | |
| 49.1% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| 85.8% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 75.9% | (/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 82.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) | |
| ▶ | 82.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
| ✓ | 49.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 76.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) | |
| 71.4% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 65.7% | (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 49.8% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) | |
| ▶ | 86.5% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
| 72.1% | #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) | |
| 88.9% | #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) | |
| 83.7% | #s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) | |
| 84.0% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) | |
| 78.1% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) | |
| 52.7% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) | |
| 49.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) | |
| 50.2% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) | |
| 80.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) | |
| 78.1% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) | |
| 65.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) | |
| 82.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) | |
| 72.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) | |
| 34.5% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) | |
| ✓ | 51.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
| ▶ | 73.6% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
| 68.2% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| ▶ | 50.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
| 85.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) | |
| 50.6% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) | |
| 66.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) | |
| 69.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) | |
| 66.6% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 50.6% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) | |
| 25.8% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
Compiled 2 112 to 1 372 computations (35% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| cost-diff | 320 | (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) | |
| cost-diff | 320 | (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 y (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 y #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)))) z) | |
| cost-diff | 384 | (/.f64 (/.f64 (*.f64 y #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)))) z) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 462 |
| 0 | 76 | 462 |
| 1 | 154 | 462 |
| 2 | 473 | 460 |
| 3 | 2062 | 455 |
| 0 | 8300 | 450 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
(/.f64 (*.f64 y #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)))) z) |
(*.f64 y #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)))) |
y |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
y |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))) |
z |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
y |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 y #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)))) z) |
(*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) |
(*.f64 y #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 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) |
y |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.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)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x)) z)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) |
(/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (/.f64 y x)) z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x))) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y (/.f64 y x)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x x) y) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) |
y |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x)))) |
z |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)) |
(fma.f64 (*.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)) y) x (/.f64 y x)) |
(*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) |
(*.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)) y) |
y |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15977490279096104 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) | |
| accuracy | 0.18359375 | (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) | |
| accuracy | 1.0609321639669378 | #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) | |
| accuracy | 3.326231764989009 | (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))) | |
| accuracy | 0.0078125 | (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 0.015625 | (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x) | |
| accuracy | 1.0911029602220432 | #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) | |
| accuracy | 3.1638910933522864 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) | |
| accuracy | 1.124677429575187 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) | |
| accuracy | 3.401428534556251 | (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 1.1566751546376426 | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 2.1129610847647218 | (/.f64 y (*.f64 z x)) | |
| accuracy | 0.0078125 | (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)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 1.0876395135381403 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 3.393616034556251 | (/.f64 (/.f64 (*.f64 y #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)))) z) x) |
| 191.0ms | 117× | 2 | exit |
| 106.0ms | 138× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 774 to 90 computations (88.4% saved)
ival-mult: 135.0ms (51.4% of total)ival-add: 49.0ms (18.7% of total)ival-div: 33.0ms (12.6% of total)adjust: 32.0ms (12.2% of total)const: 10.0ms (3.8% of total)ival-cosh: 3.0ms (1.1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
(/.f64 (*.f64 y #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)))) z) |
(*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x z) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/ (* x z) y) |
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(pow x 2) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (/ 1 x))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (/ 1 x)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 7.0ms | y | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 6.0ms | x | @ | -inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 5.0ms | y | @ | 0 | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 5.0ms | x | @ | inf | ((/ (/ (* y (cosh x)) z) x) (/ (* y (cosh x)) z) (* y (cosh x)) (cosh x) (/ (* (/ (cosh x) x) y) z) (/ y (* z x)) (* z x) (/ (* (+ (* 1/2 (* x x)) 1) (/ y z)) x) (/ (* (/ (cosh x) x) y) z) (* (+ (* 1/2 (* x x)) 1) (/ y z)) (+ (* 1/2 (* x x)) 1) (/ (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* x x) 1/24) 1/2)) (* x x)) y) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (+ (* (* y (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2)) x) (/ y x)) (+ (* 1/720 (* x x)) 1/24) (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x) (* y (+ (* (* x x) 1/24) 1/2)) (* (+ (* 1/720 (* x x)) 1/24) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 1081 |
| 1 | 825 | 1042 |
| 2 | 3428 | 997 |
| 0 | 8290 | 925 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x z) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/ (* x z) y) |
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(pow x 2) |
(* 1/2 y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/24 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(* y (+ (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (/ 1 x))) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(* -1 (* y (- (* -1 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (/ 1 x)))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) z) (*.f64 x x) (/.f64 y z)) x) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) z) (*.f64 x x) (/.f64 y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* x z) |
(*.f64 z x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) x) |
(/ (* x z) y) |
(*.f64 (/.f64 z y) x) |
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) z z) y) x) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(fma.f64 (/.f64 z y) x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 z y) (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) (neg.f64 x) (*.f64 #s(literal 5/24 binary64) (/.f64 z y))) (*.f64 x x) (*.f64 (/.f64 z y) #s(literal -1/2 binary64))) (*.f64 (/.f64 z y) x)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (/ (* x y) z)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/24 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(/.f64 (*.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal 1/720 binary64)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 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))) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow x 2) y)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y)) |
(* (pow x 2) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x)) |
(* 1/720 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 5 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)))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 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))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(* y (+ (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) (/ 1 x))) |
(*.f64 (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)) x (/.f64 #s(literal 1 binary64) x)) y) |
(* y (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1)) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) 1))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(* -1 (* y (- (* -1 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (/ 1 x)))) |
(*.f64 (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)) x (/.f64 #s(literal 1 binary64) x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 368 |
| 0 | 76 | 366 |
| 1 | 322 | 366 |
| 2 | 2379 | 366 |
| 0 | 8939 | 366 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
(/.f64 (*.f64 y #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)))) z) |
(*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)))) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) |
(fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) x) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) x) (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) z)) |
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) z) x)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) z) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 z x))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) z)) x)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) (*.f64 z x))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (neg.f64 y) #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (neg.f64 z))) |
(*.f64 (/.f64 y (neg.f64 z)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))) z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) x) (/.f64 y z)) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (*.f64 y #s(literal 1/24 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/24 binary64) x) y) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal -1/2 binary64) y)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y) (*.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 #s(literal 1/24 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 #s(literal 1/24 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x)) |
(fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) |
(fma.f64 #s(literal 1/24 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 #s(literal 1/24 binary64) x)) |
(fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) |
(fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x) (*.f64 #s(literal 1/24 binary64) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 #s(literal 1/24 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x)) |
(+.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
Compiled 41 880 to 5 387 computations (87.1% saved)
48 alts after pruning (42 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 142 | 13 | 1 155 |
| Fresh | 6 | 29 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 150 | 48 | 1 198 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.7% | (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
| ✓ | 88.9% | (/.f64 (/.f64 (*.f64 y #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)))) z) x) |
| 88.8% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| 85.1% | (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) | |
| 74.7% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) | |
| 49.1% | (/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) | |
| 85.8% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 75.9% | (/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) | |
| 86.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 86.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) | |
| 82.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) | |
| ✓ | 82.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
| 82.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) | |
| ✓ | 49.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 76.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) | |
| 71.4% | (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 49.8% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) | |
| 86.5% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) | |
| 50.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) | |
| 89.2% | (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) | |
| 72.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) | |
| 78.3% | (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) | |
| 72.1% | #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) | |
| 88.9% | #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) | |
| 83.7% | #s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) | |
| 84.0% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) | |
| 78.1% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) | |
| 52.7% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) | |
| 49.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) | |
| 50.2% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) | |
| 80.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) | |
| 65.9% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) | |
| 82.4% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) | |
| 72.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) | |
| 34.5% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) | |
| ✓ | 51.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
| 68.2% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 33.2% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) | |
| ✓ | 50.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
| 85.8% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) | |
| 76.2% | #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) | |
| 66.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) | |
| 63.6% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) | |
| 69.3% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) | |
| 66.6% | #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 50.6% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) | |
| 25.8% | #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
Compiled 3 127 to 1 177 computations (62.4% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 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 (/.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))) x) y) z) |
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z (cosh.f64 x)) y) x)) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
5 calls:
| 94.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 69.0ms | y |
| 56.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 51.0ms | z |
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | x |
| 99.8% | 2 | y |
| 97.2% | 2 | z |
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 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 (/.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))) x) y) z) |
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
3 calls:
| 28.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 24.0ms | y |
| 20.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | y |
| 95.0% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 95.0% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 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 (/.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))) x) y) z) |
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
5 calls:
| 53.0ms | z |
| 37.0ms | x |
| 30.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 29.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 23.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 96.3% | 2 | x |
| 95.6% | 3 | z |
| 95.1% | 2 | y |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 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 (/.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))) x) y) z) |
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
| Outputs |
|---|
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
1 calls:
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 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 (/.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))) x) y) z) |
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (fma.f64 (*.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)) y) (*.f64 x x) y)) x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) y) (neg.f64 x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.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)) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (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 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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))) z (*.f64 z y)) (*.f64 z z)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) (/.f64 x y) x) (*.f64 x (/.f64 x y)))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (fma.f64 (/.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)) x) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 z x) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 z x) (*.f64 z x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.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)) y) x) (/.f64 x z)) x (*.f64 x (/.f64 y z))) (*.f64 x x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (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 (*.f64 z x) y) (*.f64 (*.f64 z x) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (/.f64 (*.f64 z x) y)))) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 y #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)))) z) x) |
4 calls:
| 47.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 32.0ms | y |
| 31.0ms | x |
| 16.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 94.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.0% | 2 | y |
| 92.8% | 3 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 x (fma.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 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 (/.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))) x) y) z) |
| Outputs |
|---|
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
1 calls:
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) z) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
2 calls:
| 31.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.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)) y) x (/.f64 y x))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) (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 z x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) |
(/.f64 (/.f64 (*.f64 y #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) x) |
5 calls:
| 36.0ms | z |
| 31.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 31.0ms | y |
| 13.0ms | x |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | x |
| 86.7% | 1 | z |
| 90.7% | 2 | y |
| 90.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 90.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (*.f64 z x))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 y x))) z) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 y #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) x) |
3 calls:
| 26.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 13.0ms | y |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 90.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.2% | 2 | y |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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 (*.f64 y #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) x) |
(/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 y #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) x) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y) x) x y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (*.f64 x y) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (+ (* (* y (* (+ (* 1/720 (* x x)) 1/24) x)) x) (* 1/2 y)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (/.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) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
3 calls:
| 34.0ms | y |
| 17.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | y |
| 87.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 87.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x))) z) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x)) |
4 calls:
| 38.0ms | z |
| 32.0ms | y |
| 9.0ms | x |
| 8.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 84.2% | 2 | z |
| 84.7% | 2 | x |
| 87.5% | 2 | y |
Compiled 11 to 16 computations (-45.5% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
5 calls:
| 43.0ms | z |
| 37.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 34.0ms | y |
| 8.0ms | x |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 1 | z |
| 83.7% | 2 | x |
| 84.2% | 2 | y |
| 82.0% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 82.0% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/.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 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x)) |
| Outputs |
|---|
(/.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 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
5 calls:
| 39.0ms | x |
| 17.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 8.0ms | z |
| 8.0ms | y |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | z |
| 81.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 81.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 78.7% | 2 | x |
| 81.0% | 2 | y |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 27.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 81.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x)) |
3 calls:
| 18.0ms | y |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 2 | y |
| 78.7% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 78.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
4 calls:
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 6.0ms | x |
| 6.0ms | z |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 2 | z |
| 77.9% | 2 | x |
| 77.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 77.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x)) |
3 calls:
| 6.0ms | x |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 71.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 76.4% | 2 | x |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (/.f64 y x)))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
4 calls:
| 6.0ms | x |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 68.2% | 1 | z |
| 68.2% | 1 | y |
| 68.2% | 1 | x |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (*.f64 z x)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
2 calls:
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 69.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 z y) x))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) x) y) z) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
5 calls:
| 4.0ms | x |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 2 | x |
| 56.9% | 2 | y |
| 56.9% | 2 | z |
| 56.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 57.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 17 to 22 computations (-29.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.8% | 1 | y |
| 50.8% | 1 | z |
| 50.8% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 50.8% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 50.8% | 1 | x |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043959468185228e-64 | 2.7872741888302113e-57 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 2.1241067781403667e+130 | 4.504350723113639e+130 |
| 4.0ms | 48× | 0 | valid |
Compiled 59 to 61 computations (-3.4% saved)
ival-div: 1.0ms (66.6% of total)ival-cosh: 1.0ms (66.6% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7.316390538055508e+48 | 1.0242386133512395e+51 |
| 7.0ms | 112× | 0 | valid |
Compiled 291 to 223 computations (23.4% saved)
ival-div: 3.0ms (62.8% of total)ival-mult: 1.0ms (20.9% of total)ival-cosh: 1.0ms (20.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.316390538055508e+48 | 1.0242386133512395e+51 |
Compiled 291 to 223 computations (23.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043959468185228e-64 | 2.7872741888302113e-57 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.631824140258954e-40 | 6.4223584567502665e-40 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1635381970044052e+128 | 1.2609075863372715e+139 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.946136247734825e+120 | 2.1840955363096132e+125 |
| 6.0ms | 112× | 0 | valid |
Compiled 340 to 251 computations (26.2% saved)
ival-div: 1.0ms (29.2% of total)ival-mult: 1.0ms (29.2% of total)ival-cosh: 1.0ms (29.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.631824140258954e-40 | 6.4223584567502665e-40 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043959468185228e-64 | 2.7872741888302113e-57 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.2872572875199e-59 | 2.0730847824334595e-55 |
| 8.0ms | 128× | 0 | valid |
Compiled 539 to 365 computations (32.3% saved)
ival-cosh: 3.0ms (55.8% of total)ival-div: 2.0ms (37.2% of total)ival-mult: 1.0ms (18.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043959468185228e-64 | 2.7872741888302113e-57 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.655390798077855e+157 | 1.2893471250321846e+159 |
| 7.0ms | 112× | 0 | valid |
Compiled 389 to 279 computations (28.3% saved)
ival-div: 1.0ms (29.1% of total)ival-mult: 1.0ms (29.1% of total)ival-cosh: 1.0ms (29.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.335442381854132e+213 | 1.7588450685408475e+220 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043959468185228e-64 | 2.7872741888302113e-57 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.043959468185228e-64 | 2.7872741888302113e-57 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1175562391589361700.0 | 3051972538008706600.0 |
| 2.0ms | 32× | 0 | valid |
Compiled 113 to 89 computations (21.2% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.416452911416637e+128 | 9.40646395326992e+131 |
| 10.0ms | 128× | 0 | valid |
Compiled 403 to 309 computations (23.3% saved)
ival-mult: 4.0ms (59.2% of total)ival-div: 2.0ms (29.6% of total)ival-cosh: 1.0ms (14.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.029306064467451e+125 | 6.300209164664909e+127 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4183866766828436e+193 | 8.366280502018884e+195 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.7323028027256718 | 179.26378934232378 |
| 8.0ms | 112× | 0 | valid |
Compiled 319 to 244 computations (23.5% saved)
ival-cosh: 2.0ms (45.7% of total)ival-div: 1.0ms (22.8% of total)ival-mult: 1.0ms (22.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 1077 |
| 1 | 224 | 1077 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)) |
(if (<=.f64 y #s(literal 29999999999999999330866960106893504787807864498038409308725374090875607870485055043574070304624140996945405046425743073683403964416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) |
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 y #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #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) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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) x)) |
(if (<=.f64 y #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))) |
(if (<=.f64 y #s(literal 549999999999999980177510132417582870903136094739997398400200380016344516337422765647780521901145536067603062884104884486954273060120222453730332581111965679616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (/.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 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 x #s(literal 1500000000000000000 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 x #s(literal 329999999999999982789035012077208749596126484442519051126044297383270019588262254417884330476562898112832891789454263608860446031872 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)) |
(if (<=.f64 y #s(literal 29999999999999999330866960106893504787807864498038409308725374090875607870485055043574070304624140996945405046425743073683403964416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))) |
(if (<=.f64 y #s(literal 29999999999999999330866960106893504787807864498038409308725374090875607870485055043574070304624140996945405046425743073683403964416 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (/.f64 (cosh.f64 x) (*.f64 (/.f64 z y) x))) |
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 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))) y) z) x)) |
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 x #s(literal 999999999999999993220948674361627976461708441944064 binary64)) (*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 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))) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.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))) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (/ (* y (cosh x)) z) x) (*.f64 (/.f64 (/.f64 (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)) x) z) y)) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 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))) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 200000000000000015034897383303641725494285812870481642696581820471553185048483040932908220219551607085653191007770505265335500800 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 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))) y) z) x)) |
(if (<=.f64 y #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))) x (/.f64 y x))) z) (/.f64 (/.f64 (*.f64 y #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) x)) |
(if (<=.f64 y #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) y) x (/.f64 y x))) z) (/.f64 (/.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) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (fma.f64 (*.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)) y) (*.f64 x x) y) (*.f64 z x))) (/.f64 (/.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) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.f64 (*.f64 y #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) x)) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) (/.f64 (/.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) z) x)) |
(if (<=.f64 y #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))) |
(if (<=.f64 y #s(literal 6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 y (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 x x) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) y) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) y)) (*.f64 x x) y) z) x))) |
(if (<=.f64 y #s(literal 549999999999999980177510132417582870903136094739997398400200380016344516337422765647780521901145536067603062884104884486954273060120222453730332581111965679616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 y #s(literal 549999999999999980177510132417582870903136094739997398400200380016344516337422765647780521901145536067603062884104884486954273060120222453730332581111965679616 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 #s(approx (* y (+ (* (* x x) 1/24) 1/2)) (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/24 binary64))) (*.f64 x x) y) x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (/.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 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 4999999999999999772223133475743019061733712700409539130496607211544840259226135691611880105565210303017104153796972357853870064153456670293082673807209411155434429495479368482882719667688996710696271289138913738752 binary64)) (/.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 #s(approx (/ (* y (cosh x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x))) |
(if (<=.f64 x #s(literal 1500000000000000000 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 x #s(literal 1500000000000000000 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)) z) x))) |
(if (<=.f64 x #s(literal 329999999999999982789035012077208749596126484442519051126044297383270019588262254417884330476562898112832891789454263608860446031872 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 y z)) x))) |
(if (<=.f64 x #s(literal 329999999999999982789035012077208749596126484442519051126044297383270019588262254417884330476562898112832891789454263608860446031872 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 y z)) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 20000000000000001324550266392146045781629557813563384351149437228123741413841093429340757108942167912279254610380912407648661736207011485795081833995022024081041617624336082668303754650732986368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (/ (cosh x) x) y) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)) y))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (/ (cosh x) x) y) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (/ (cosh x) x) y) z) (/.f64 y (*.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 658 |
| 1 | 514 | 630 |
| 2 | 2091 | 604 |
| 3 | 7411 | 602 |
| 0 | 8406 | 556 |
| 0 | 70 | 214 |
| 1 | 255 | 200 |
| 2 | 1037 | 196 |
| 3 | 4655 | 194 |
| 0 | 8287 | 176 |
| 0 | 40 | 271 |
| 0 | 70 | 271 |
| 1 | 277 | 271 |
| 2 | 2077 | 271 |
| 0 | 8776 | 271 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 37 | 19 |
| 2 | 222 | 19 |
| 3 | 2340 | 19 |
| 0 | 9105 | 19 |
| 0 | 219 | 1081 |
| 1 | 825 | 1042 |
| 2 | 3428 | 997 |
| 0 | 8290 | 925 |
| 0 | 36 | 229 |
| 0 | 63 | 223 |
| 1 | 251 | 220 |
| 2 | 1848 | 220 |
| 0 | 8348 | 217 |
| 0 | 205 | 1372 |
| 1 | 759 | 1280 |
| 2 | 3178 | 1164 |
| 0 | 8253 | 1074 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 259 to 1 060 computations (53.1% saved)
Compiled 2 432 to 558 computations (77.1% saved)
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