Linear.Quaternion:$ctan from linear-1.19.1.3
Time bar (total: 5.9s)
| 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)
| 413.0ms | 8 256× | 0 | valid |
ival-div: 106.0ms (42.8% of total)ival-cosh: 87.0ms (35.1% of total)ival-mult: 45.0ms (18.2% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 25 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 15 | 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)) | n*u | 25 | 0 |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 15 | 0 |
| ↳ | (cosh.f64 x) | overflow | 129 | |
| ↳ | (/.f64 y x) | overflow | 34 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 163 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 0 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 0 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 100 to 39 computations (61% saved)
ival-div: 7.0ms (44.4% of total)ival-cosh: 5.0ms (31.7% of total)ival-mult: 3.0ms (19% 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 | 336 | 75 |
| 3 | 1231 | 75 |
| 4 | 4255 | 75 |
| 5 | 7562 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 45 | 8 |
| 3 | 94 | 8 |
| 4 | 191 | 8 |
| 5 | 299 | 8 |
| 6 | 487 | 8 |
| 7 | 1061 | 8 |
| 8 | 2206 | 8 |
| 9 | 2598 | 8 |
| 10 | 2799 | 8 |
| 11 | 2810 | 8 |
| 12 | 2810 | 8 |
| 13 | 2847 | 8 |
| 14 | 2852 | 8 |
| 15 | 2854 | 8 |
| 16 | 2859 | 8 |
| 17 | 2859 | 8 |
| 0 | 2859 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 84.6% | (/.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 | 45 | 22 |
| 3 | 94 | 22 |
| 4 | 191 | 22 |
| 5 | 299 | 22 |
| 6 | 487 | 22 |
| 7 | 1061 | 22 |
| 8 | 2206 | 22 |
| 9 | 2598 | 22 |
| 10 | 2799 | 22 |
| 11 | 2810 | 22 |
| 12 | 2810 | 22 |
| 13 | 2847 | 22 |
| 14 | 2852 | 22 |
| 15 | 2854 | 22 |
| 16 | 2859 | 22 |
| 17 | 2859 | 22 |
| 0 | 2859 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 3.6112386313352247 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 4.992187500000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 46 to 16 computations (65.2% saved)
ival-div: 3.0ms (41.3% of total)ival-cosh: 3.0ms (41.3% of total)ival-mult: 1.0ms (13.8% 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 | |
|---|---|---|---|---|
| 3.0ms | 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)) |
| 2.0ms | 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)) |
| 1.0ms | 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 | 201 | 210 |
| 2 | 600 | 198 |
| 3 | 1414 | 192 |
| 4 | 2105 | 192 |
| 5 | 2771 | 190 |
| 6 | 3308 | 190 |
| 7 | 4809 | 186 |
| 8 | 5457 | 186 |
| 9 | 5927 | 186 |
| 10 | 6459 | 186 |
| 11 | 7747 | 186 |
| 0 | 8030 | 168 |
| 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 y (*.f64 z x)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #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)) z) x) y) |
(/ (+ (* (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 (fma.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 x)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(/ (+ 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 (/.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) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 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 (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 (/.f64 (neg.f64 z) (cosh.f64 x)) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 z (/.f64 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))))) #s(literal -1 binary64)) #s(literal 1/2 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 z (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 y x) #s(literal 1/2 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 x (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) z) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) z) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x)))) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x)))) (pow.f64 (*.f64 #s(literal 2 binary64) 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 z y) (/.f64 x (cosh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) (/.f64 x (cosh.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) 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 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (cosh.f64 x) x) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 z)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) z)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x y) z) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) 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 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) z))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 z x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -2 binary64) x)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 2 binary64) x)))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (*.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.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 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
Compiled 5 713 to 1 084 computations (81% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 387 | 13 | 400 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 387 | 14 | 401 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ▶ | 76.8% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| 67.8% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 83.8% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
| 76.4% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| 46.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ▶ | 63.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 89.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) | |
| 86.5% | (/.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)) x) y)) z) | |
| 89.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 x (cosh.f64 x)))) | |
| ▶ | 49.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 61.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) | |
| 80.0% | #s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) | |
| ▶ | 90.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
Compiled 474 to 337 computations (28.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -384 | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 y (cosh.f64 x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) | |
| cost-diff | -384 | (/.f64 y (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | (/.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)) z) | |
| cost-diff | 0 | (/.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)) z) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) | |
| cost-diff | 320 | (*.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)) z) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 277 |
| 0 | 53 | 277 |
| 1 | 96 | 277 |
| 2 | 168 | 277 |
| 3 | 321 | 277 |
| 4 | 501 | 277 |
| 5 | 1062 | 277 |
| 6 | 1898 | 277 |
| 7 | 3634 | 275 |
| 8 | 5097 | 275 |
| 9 | 5664 | 275 |
| 10 | 6092 | 275 |
| 11 | 6641 | 275 |
| 12 | 7653 | 275 |
| 0 | 8053 | 273 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(*.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)) z) x) y) |
(/.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)) z) 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)) z) |
(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 |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 z x) |
z |
x |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(*.f64 y (cosh.f64 x)) |
y |
(cosh.f64 x) |
x |
(*.f64 z x) |
z |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y (/.f64 y x)) z)) |
(*.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)) z) x) y) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) y (/.f64 y x)) 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)) z) x) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) 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)) z) |
(/.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)) z) |
(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 |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 y (*.f64 z x)) |
(/.f64 (/.f64 y z) x) |
y |
(*.f64 z x) |
z |
x |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) z) x) y) |
(*.f64 y (cosh.f64 x)) |
(*.f64 (cosh.f64 x) y) |
y |
(cosh.f64 x) |
x |
(*.f64 z x) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 0.0078125 | (*.f64 y (cosh.f64 x)) | |
| accuracy | 8.579670111355036 | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 3.6112386313352247 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 4.992187500000001 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| accuracy | 6.621129397934387 | #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.09375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 3.6112386313352247 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) | |
| accuracy | 23.15170164964448 | #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 4.382624721232929 | (/.f64 y (*.f64 z x)) | |
| accuracy | 30.68477089615769 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 2.1304013540798787 | (/.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)) z) | |
| accuracy | 4.292144001462161 | (/.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)) z) x) | |
| accuracy | 4.563312394526138 | (*.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)) z) x) y) | |
| accuracy | 11.217702367072476 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
| 48.0ms | 256× | 0 | valid |
Compiled 492 to 60 computations (87.8% saved)
ival-mult: 12.0ms (38.6% of total)ival-div: 10.0ms (32.2% of total)ival-add: 3.0ms (9.6% of total)const: 3.0ms (9.6% of total)ival-cosh: 3.0ms (9.6% 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 (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) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) z) 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)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(*.f64 z x) |
(/.f64 y (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 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) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 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) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (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)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 4) z)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (cosh x)) (cosh x) (/ (* y (cosh x)) (* z x)) (+ (* 1/24 (* x x)) 1/2)) |
| 4.0ms | x | @ | -inf | ((* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (cosh x)) (cosh x) (/ (* y (cosh x)) (* z x)) (+ (* 1/24 (* x x)) 1/2)) |
| 3.0ms | z | @ | -inf | ((* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (cosh x)) (cosh x) (/ (* y (cosh x)) (* z x)) (+ (* 1/24 (* x x)) 1/2)) |
| 3.0ms | y | @ | 0 | ((* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (cosh x)) (cosh x) (/ (* y (cosh x)) (* z x)) (+ (* 1/24 (* x x)) 1/2)) |
| 3.0ms | y | @ | -inf | ((* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (* (cosh x) (/ y x)) z) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (/ (* (cosh x) (/ y x)) z) (* z x) (/ y (* z x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (+ (* 1/2 x) (/ 1 x)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* y (cosh x)) (cosh x) (/ (* y (cosh x)) (* z x)) (+ (* 1/24 (* x x)) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 739 |
| 1 | 522 | 731 |
| 2 | 1641 | 677 |
| 3 | 4530 | 653 |
| 0 | 8119 | 604 |
| 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) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 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) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (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)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 4) z)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
| 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)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) 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) (/.f64 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 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 y z)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) x) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) x) x (/.f64 #s(literal 1 binary64) z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 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 (*.f64 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 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 |
#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) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(fma.f64 (*.f64 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 x x) y) |
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)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (*.f64 (/.f64 y z) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) z) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/24 (/ (pow x 3) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) z)) (/.f64 #s(literal 1/24 binary64) z)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) x)) |
(* 1/24 (/ (pow x 4) z)) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) z) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y)) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) 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 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) y) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (*.f64 (/.f64 y z) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) z)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x 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)) x) (/.f64 y z)) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x 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)) x) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.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)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 222 |
| 0 | 53 | 222 |
| 1 | 186 | 222 |
| 2 | 1165 | 222 |
| 0 | 8574 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) z) x) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) z) 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)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(*.f64 z x) |
(/.f64 y (*.f64 z x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.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))) z) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y (/.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 (neg.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))) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.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))) z) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #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)) (/.f64 y x))) |
(*.f64 (/.f64 y z) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (neg.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))) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 y x) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z))) |
(*.f64 (*.f64 y (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x)) #s(literal 1 binary64)) |
(*.f64 y (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) y) (pow.f64 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)) (/.f64 y (*.f64 z x))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x))) |
(pow.f64 (*.f64 (/.f64 z (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z))) #s(literal -1 binary64)) |
(/.f64 (*.f64 y (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) (neg.f64 z)) |
(/.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) z) |
(/.f64 (*.f64 y (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 y (*.f64 (neg.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))) #s(literal -1 binary64))) (*.f64 z x)) |
(/.f64 (*.f64 y (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (*.f64 y #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 x (*.f64 z (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 z x) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) |
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(neg.f64 (/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 (*.f64 (cosh.f64 x) (/.f64 y (*.f64 (neg.f64 z) x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (neg.f64 y) x)))) |
(neg.f64 (*.f64 (/.f64 y (*.f64 (neg.f64 z) x)) (cosh.f64 x))) |
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (neg.f64 y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (neg.f64 y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x)) (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (neg.f64 y) x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 (neg.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 (cosh.f64 x) y)) z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (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 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/48 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/48 binary64) (*.f64 x x)))))) |
(neg.f64 (/.f64 (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)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))))))) |
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
Compiled 29 983 to 3 799 computations (87.3% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 082 | 14 | 1 096 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 087 | 23 | 1 110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 77.1% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| ✓ | 76.8% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| ▶ | 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| ✓ | 83.8% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
| 46.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ✓ | 63.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 89.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) | |
| 86.5% | (/.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)) x) y)) z) | |
| 27.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) | |
| 78.6% | (/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) | |
| 68.5% | (/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) | |
| ▶ | 96.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
| 71.7% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 52.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| ▶ | 46.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
| 80.0% | #s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) | |
| 90.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) | |
| 80.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) | |
| ▶ | 49.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
| ▶ | 46.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
| 43.0% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
Compiled 963 to 665 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) z) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (*.f64 (cosh.f64 x) y) | |
| cost-diff | 0 | (/.f64 z (*.f64 (cosh.f64 x) y)) | |
| cost-diff | 832 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 428 |
| 0 | 74 | 428 |
| 1 | 132 | 428 |
| 2 | 249 | 427 |
| 3 | 629 | 421 |
| 4 | 1741 | 417 |
| 5 | 5602 | 417 |
| 0 | 8142 | 396 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
(/.f64 z (*.f64 (cosh.f64 x) y)) |
z |
(*.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(neg.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
x |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) |
(fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) |
(/.f64 (*.f64 x x) z) |
(*.f64 x x) |
x |
z |
#s(literal 1/24 binary64) |
(/.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
y |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z) |
#s(literal -1 binary64) |
(*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 x (cosh.f64 x))) |
(/.f64 z (*.f64 (cosh.f64 x) y)) |
(/.f64 z (*.f64 y (cosh.f64 x))) |
z |
(*.f64 (cosh.f64 x) y) |
(*.f64 y (cosh.f64 x)) |
(cosh.f64 x) |
x |
y |
(neg.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 (/.f64 #s(literal 1 binary64) x) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) z) |
#s(literal 1 binary64) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y x) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) |
(/.f64 (/.f64 y x) z) |
#s(literal 1 binary64) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) |
(/.f64 (*.f64 x x) z) |
(*.f64 x x) |
x |
z |
#s(literal 1/24 binary64) |
(/.f64 #s(literal 1/2 binary64) z) |
#s(literal 1/2 binary64) |
y |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) | |
| accuracy | 0.7176686901753542 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 3.6112386313352247 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 30.48930780248944 | #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) | |
| accuracy | 0.7150862649233545 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) | |
| accuracy | 1.9347846711664032 | (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y) | |
| accuracy | 2.849133453349495 | (/.f64 (*.f64 x x) z) | |
| accuracy | 30.323884565906145 | #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.3140075005906655 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) | |
| accuracy | 0.9653331157782847 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) | |
| accuracy | 3.083428775512319 | (*.f64 (/.f64 x y) z) | |
| accuracy | 0.265496108438803 | (/.f64 #s(literal 1 binary64) (*.f64 z x)) | |
| accuracy | 0.7150862649233545 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) | |
| accuracy | 0.9248163582112593 | #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) | |
| accuracy | 1.9347846711664032 | (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) | |
| accuracy | 0.0078125 | (/.f64 z (*.f64 (cosh.f64 x) y)) | |
| accuracy | 0.0078125 | (*.f64 (cosh.f64 x) y) | |
| accuracy | 0.3140075005906655 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) | |
| accuracy | 2.243335937309487 | (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
| 68.0ms | 126× | 2 | exit |
| 36.0ms | 129× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 687 to 87 computations (87.3% saved)
ival-mult: 21.0ms (30.9% of total)ival-div: 20.0ms (29.4% of total)adjust: 9.0ms (13.2% of total)const: 6.0ms (8.8% of total)ival-add: 6.0ms (8.8% of total)ival-cosh: 4.0ms (5.9% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
(/.f64 z (*.f64 (cosh.f64 x) y)) |
(*.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 z x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/.f64 (*.f64 x x) z) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
| 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) |
(/ z y) |
(+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)) |
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)) |
(+ (* (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)) |
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))))))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* x z) |
(/ (* x z) y) |
(/ x y) |
(* 1/2 (/ x z)) |
(* x (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 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) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y)))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))))))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))))))))) |
(/ (pow x 2) z) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (* x (+ 1/2 (* 1/24 (pow x 2)))) z) |
(* -1 (/ (* x (- (* -1/24 (pow x 2)) 1/2)) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | 0 | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (/ z (* (cosh x) y)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* z x) (/ 1 (* (/ x y) z)) (/ (* (cosh x) (/ y x)) z) (* (/ x y) z) (/ x y) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ z (* (cosh x) y)) (neg x)) (/ 1 (* z x)) (/ (* x x) z) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x))) |
| 7.0ms | z | @ | -inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (/ z (* (cosh x) y)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* z x) (/ 1 (* (/ x y) z)) (/ (* (cosh x) (/ y x)) z) (* (/ x y) z) (/ x y) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ z (* (cosh x) y)) (neg x)) (/ 1 (* z x)) (/ (* x x) z) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x))) |
| 7.0ms | x | @ | -inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (/ z (* (cosh x) y)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* z x) (/ 1 (* (/ x y) z)) (/ (* (cosh x) (/ y x)) z) (* (/ x y) z) (/ x y) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ z (* (cosh x) y)) (neg x)) (/ 1 (* z x)) (/ (* x x) z) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x))) |
| 6.0ms | x | @ | inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (/ z (* (cosh x) y)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* z x) (/ 1 (* (/ x y) z)) (/ (* (cosh x) (/ y x)) z) (* (/ x y) z) (/ x y) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ z (* (cosh x) y)) (neg x)) (/ 1 (* z x)) (/ (* x x) z) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x))) |
| 6.0ms | z | @ | 0 | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (/ z (* (cosh x) y)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* z x) (/ 1 (* (/ x y) z)) (/ (* (cosh x) (/ y x)) z) (* (/ x y) z) (/ x y) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ z (* (cosh x) y)) (neg x)) (/ 1 (* z x)) (/ (* x x) z) (+ (* 1/24 (* x x)) 1/2) (* 1/24 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 830 |
| 1 | 671 | 814 |
| 2 | 2315 | 750 |
| 3 | 5999 | 748 |
| 0 | 8340 | 698 |
| 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) |
(/ z y) |
(+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)) |
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)) |
(+ (* (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)) |
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))))))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* x z) |
(/ (* x z) y) |
(/ x y) |
(* 1/2 (/ x z)) |
(* x (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 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) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y)))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))))))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))))))))) |
(/ (pow x 2) z) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (* x (+ 1/2 (* 1/24 (pow x 2)))) z) |
(* -1 (/ (* x (- (* -1/24 (pow x 2)) 1/2)) z)) |
| 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)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 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 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/ z y) |
(/.f64 z y) |
(+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) |
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y)) |
(fma.f64 (*.f64 (*.f64 (/.f64 z y) (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)) x (/.f64 z y)) |
(+ (* (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 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) z (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal -61/720 binary64)) x) x (*.f64 #s(literal 5/24 binary64) (/.f64 z y))) (*.f64 x x))) (*.f64 x x) (/.f64 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 (*.f64 x x) #s(literal 1/24 binary64) #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 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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 (*.f64 x x) #s(literal 1/24 binary64) #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 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z)) x) |
(* x z) |
(*.f64 x z) |
(/ (* x z) y) |
(*.f64 (/.f64 z y) x) |
(/ x y) |
(/.f64 x y) |
(* 1/2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 1/2 binary64)) |
(* x (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 x x) #s(literal 1/24 binary64) #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 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y)))) |
(*.f64 (*.f64 (/.f64 z y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) x) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z y) (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (neg.f64 z) y)) x) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) x (*.f64 #s(literal -5/24 binary64) (/.f64 z y))) (*.f64 (/.f64 z y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))) x) |
(/ (pow x 2) z) |
(/.f64 (*.f64 x x) z) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.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 (/.f64 #s(literal 1/2 binary64) x) z)) |
(* 2 (/ z (* y (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (/.f64 (/.f64 z y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) #s(literal 2 binary64)) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #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)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (*.f64 (/.f64 y z) (+.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 z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (/ (pow x 3) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) z)) (/.f64 #s(literal 1/24 binary64) z)) (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(* 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)) |
(* 1/24 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 z y) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(*.f64 (*.f64 (/.f64 y z) (+.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) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) z)) (pow.f64 x #s(literal 3 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) z) |
(/ (* x (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z) |
(* -1 (/ (* x (- (* -1/24 (pow x 2)) 1/2)) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 382 |
| 0 | 74 | 378 |
| 1 | 247 | 375 |
| 2 | 1574 | 375 |
| 0 | 8210 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
(/.f64 z (*.f64 (cosh.f64 x) y)) |
(*.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(*.f64 z x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/.f64 (*.f64 x x) z) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 (/.f64 x y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 x) z)) x) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 x) z)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 x z)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.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 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (cosh.f64 x) (*.f64 x z)) (*.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (/.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 y x)) z)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(*.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 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (/.f64 y (*.f64 x z))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 x z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) (/.f64 x y))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x)) #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 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 y (*.f64 x z)) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x)) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (*.f64 y (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z)) |
(*.f64 (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 y (cosh.f64 x)) (pow.f64 (*.f64 x z) #s(literal -1 binary64))) |
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x))) |
(pow.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x))) (neg.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.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 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 z (*.f64 y (cosh.f64 x))))) |
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 x y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 x z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) z)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (neg.f64 z) (/.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(/.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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (*.f64 y (cosh.f64 x)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (*.f64 y (cosh.f64 x)))) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (/.f64 y (*.f64 x z)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y (*.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 (cosh.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) z) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) z)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y (cosh.f64 x))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) (*.f64 z #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 x z)) |
(/.f64 (cosh.f64 x) (neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) (neg.f64 x)) z)) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (neg.f64 (cosh.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (/.f64 z (neg.f64 y))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) (/.f64 z y)) |
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(*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (neg.f64 z) (cosh.f64 x))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 (cosh.f64 x) z))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x (cosh.f64 x)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x (cosh.f64 x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 z (*.f64 y (cosh.f64 x)))) |
(*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) (neg.f64 x)) |
(*.f64 z (/.f64 (neg.f64 x) (*.f64 y (cosh.f64 x)))) |
(*.f64 z (*.f64 (pow.f64 (*.f64 y (cosh.f64 x)) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(pow.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 z) x) (cosh.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 z (cosh.f64 x)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 z))) (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) x))) (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) x) (cosh.f64 x)) y) |
(/.f64 (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x)) y) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 x)) (*.f64 (neg.f64 y) (cosh.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 z (cosh.f64 x))) y) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 (neg.f64 y) (cosh.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 (*.f64 y (cosh.f64 x)) z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 y) (cosh.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (neg.f64 (cosh.f64 x))) |
(/.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 z) x) (*.f64 (*.f64 y (cosh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) x) (*.f64 y (cosh.f64 x))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (cosh.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (neg.f64 z) x) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 z (cosh.f64 x)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 z) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (*.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 x) (/.f64 z (cosh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 x) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (neg.f64 z)) (/.f64 (cosh.f64 x) x))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x (cosh.f64 x))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 y (cosh.f64 x)) x) z)) |
(neg.f64 (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (cosh.f64 x)) z)) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (cosh.f64 x))) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (*.f64 y (cosh.f64 x))) x)) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x z))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x z) (*.f64 x z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 z) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z #s(literal 1 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x z) x) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 x x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) z)) |
(*.f64 x (/.f64 x z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z (*.f64 x x))))) |
(pow.f64 (/.f64 z (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 z)) |
(/.f64 (*.f64 x x) (*.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x x))) |
(/.f64 x (/.f64 z x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) z)) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 x x) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x x))) #s(literal -1 binary64))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) x)) |
Compiled 18 261 to 2 529 computations (86.2% saved)
27 alts after pruning (21 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 713 | 11 | 724 |
| Fresh | 3 | 10 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 720 | 27 | 747 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ▶ | 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
| ✓ | 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| ✓ | 83.8% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
| 46.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ✓ | 63.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 89.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) | |
| 86.5% | (/.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)) x) y)) z) | |
| 27.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) | |
| 78.6% | (/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) | |
| 68.5% | (/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) | |
| 76.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) | |
| ▶ | 91.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
| 78.1% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 71.7% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 71.3% | (*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) | |
| 52.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| ▶ | 30.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
| 51.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) | |
| 80.0% | #s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) | |
| ✓ | 49.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
| 44.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) | |
| 49.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) | |
| 46.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) | |
| ▶ | 27.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
| ▶ | 43.0% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
Compiled 1 338 to 891 computations (33.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z)) | |
| cost-diff | 448 | (*.f64 #s(literal 0 binary64) (neg.f64 y)) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (*.f64 (/.f64 z (*.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)) (neg.f64 x)) | |
| cost-diff | 832 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 641 |
| 0 | 101 | 608 |
| 1 | 216 | 598 |
| 2 | 534 | 581 |
| 3 | 2038 | 563 |
| 4 | 5204 | 563 |
| 0 | 8196 | 558 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 z (*.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)) (neg.f64 x)) |
(/.f64 z (*.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 |
(*.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) |
#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) |
y |
(neg.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x z) #s(literal 1/2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
y |
(*.f64 x z) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) |
(*.f64 #s(literal 0 binary64) (neg.f64 y)) |
#s(literal 0 binary64) |
(neg.f64 y) |
y |
(*.f64 (neg.f64 y) x) |
x |
(*.f64 (neg.f64 y) (neg.f64 y)) |
z |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 z (*.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)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 z (*.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)) |
(/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
z |
(*.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) |
(*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
(neg.f64 x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x z) #s(literal 1/2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) z) (*.f64 y x)))) |
#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) z) (*.f64 y x))) |
(*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) z) (*.f64 y x)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1 binary64) |
y |
(*.f64 x z) |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z)) |
(/.f64 (/.f64 y z) x) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z) |
(*.f64 (/.f64 x y) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 x y) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) |
(*.f64 y x) |
(*.f64 #s(literal 0 binary64) (neg.f64 y)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(neg.f64 y) |
y |
(*.f64 (neg.f64 y) x) |
x |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3140075005906655 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z)) | |
| accuracy | 0.9653331157782847 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) | |
| accuracy | 3.083428775512319 | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z) | |
| accuracy | 11.753862239663707 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 0.7176686901753542 | #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 1.8062326113550349 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) | |
| accuracy | 30.48930780248944 | #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) | |
| accuracy | 0.01953125 | (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.7150862649233545 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) | |
| accuracy | 1.954516761464427 | (*.f64 (/.f64 y z) x) | |
| accuracy | 26.889980054899798 | #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) | |
| accuracy | 0.7150862649233545 | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) | |
| accuracy | 0.8835468306191426 | #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) | |
| accuracy | 1.9347846711664032 | (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y) | |
| accuracy | 30.323884565906145 | #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) | |
| accuracy | 0.0078125 | (*.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) | |
| accuracy | 0.3140075005906655 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) | |
| accuracy | 0.7169783403065625 | #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 | 2.243335937309487 | (*.f64 (/.f64 z (*.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)) (neg.f64 x)) |
| 103.0ms | 126× | 2 | exit |
| 53.0ms | 129× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 1 007 to 122 computations (87.9% saved)
ival-mult: 41.0ms (36.5% of total)ival-div: 24.0ms (21.3% of total)adjust: 15.0ms (13.3% of total)const: 11.0ms (9.8% of total)ival-add: 11.0ms (9.8% of total)ival-cosh: 4.0ms (3.6% of total)ival-neg: 3.0ms (2.7% of total)ival-sub: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
(*.f64 (/.f64 z (*.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)) (neg.f64 x)) |
(*.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) |
#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) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y z) x) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(*.f64 #s(literal 0 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z)) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
| 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) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y)))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))))))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))))))))) |
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))))))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ x z)) |
(* x (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) |
(/ (* x y) z) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(/ x y) |
(* x y) |
(* 1/24 (pow x 2)) |
(/ (* x z) y) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* x (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
0 |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (* x (+ 1/2 (* 1/24 (pow x 2)))) z) |
(* -1 (/ (* x (- (* -1/24 (pow x 2)) 1/2)) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | -inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (* (/ y z) x) (* (cosh x) y) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) (* 0 (neg y)) (/ 1 (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z)) (- (* 0 (neg y)) (* (neg y) x)) (/ (* (cosh x) y) (* x z)) (* (* x x) 1/24) (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z) (/ (* (cosh x) (/ y x)) z)) |
| 6.0ms | x | @ | -inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (* (/ y z) x) (* (cosh x) y) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) (* 0 (neg y)) (/ 1 (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z)) (- (* 0 (neg y)) (* (neg y) x)) (/ (* (cosh x) y) (* x z)) (* (* x x) 1/24) (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z) (/ (* (cosh x) (/ y x)) z)) |
| 5.0ms | x | @ | inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (* (/ y z) x) (* (cosh x) y) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) (* 0 (neg y)) (/ 1 (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z)) (- (* 0 (neg y)) (* (neg y) x)) (/ (* (cosh x) y) (* x z)) (* (* x x) 1/24) (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z) (/ (* (cosh x) (/ y x)) z)) |
| 5.0ms | z | @ | 0 | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (* (/ y z) x) (* (cosh x) y) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) (* 0 (neg y)) (/ 1 (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z)) (- (* 0 (neg y)) (* (neg y) x)) (/ (* (cosh x) y) (* x z)) (* (* x x) 1/24) (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z) (/ (* (cosh x) (/ y x)) z)) |
| 5.0ms | y | @ | -inf | ((/ -1 (* (/ z (* (cosh x) y)) (neg x))) (* (/ z (* (cosh x) y)) (neg x)) (* (cosh x) y) (cosh x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/ (* (cosh x) (/ y x)) z) (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (* (/ y z) x) (* (cosh x) y) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) (* 0 (neg y)) (/ 1 (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z)) (- (* 0 (neg y)) (* (neg y) x)) (/ (* (cosh x) y) (* x z)) (* (* x x) 1/24) (* (/ (- (* 0 (neg y)) (* (neg y) x)) (* (neg y) (neg y))) z) (/ (* (cosh x) (/ y x)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 702 |
| 1 | 650 | 695 |
| 2 | 2174 | 633 |
| 3 | 5197 | 621 |
| 0 | 8320 | 578 |
| 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) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y)))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))))))) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))))))))) |
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))))))) |
(/ 1 (* x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(* 1/2 (/ x z)) |
(* x (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) |
(/ (* x y) z) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(/ x y) |
(* x y) |
(* 1/24 (pow x 2)) |
(/ (* x z) y) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 3) z)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* x (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
0 |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/ (* x (+ 1/2 (* 1/24 (pow x 2)))) z) |
(* -1 (/ (* x (- (* -1/24 (pow x 2)) 1/2)) z)) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 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)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(* x (+ (* -1 (/ z y)) (* 1/2 (/ (* (pow x 2) z) y)))) |
(*.f64 (*.f64 (/.f64 z y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64))) x) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z y) (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) (/.f64 (neg.f64 z) y)) x) |
(* x (+ (* -1 (/ z y)) (* (pow x 2) (+ (* 1/2 (/ z y)) (* (pow x 2) (+ (* -1/4 (/ z y)) (+ (* 1/24 (/ z y)) (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal -5/24 binary64) y) z (*.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) x)) (*.f64 (/.f64 z y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)))) x) |
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 (*.f64 x x) #s(literal 1/24 binary64) #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 (*.f64 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 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 (*.f64 x x) #s(literal 1/24 binary64) #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 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) x) |
(/.f64 (fma.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) z)) x) |
(* 1/2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 1/2 binary64)) |
(* x (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* x y) z)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) |
(*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x y) |
(*.f64 y x) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 (/.f64 #s(literal 1/2 binary64) x) z)) |
(* -2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) #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)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (*.f64 (/.f64 y z) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (/ (pow x 3) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(fma.f64 (/.f64 x z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z) (pow.f64 x #s(literal 4 binary64)))) |
(* 1/24 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (*.f64 (/.f64 y z) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/2 (/ 1 z)) (/ 1 (* (pow x 2) z))) (pow x 2))) (* 1/24 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x)) (/.f64 #s(literal -1/24 binary64) z)) (pow.f64 x #s(literal 3 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (* x (* y (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z) |
0 |
#s(literal 0 binary64) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (* x z)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) z) |
(/ (* x (+ 1/2 (* 1/24 (pow x 2)))) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z) |
(* -1 (/ (* x (- (* -1/24 (pow x 2)) 1/2)) z)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 516 |
| 0 | 101 | 485 |
| 1 | 392 | 470 |
| 2 | 2734 | 470 |
| 0 | 8076 | 461 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
(*.f64 (/.f64 z (*.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)) (neg.f64 x)) |
(*.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) |
#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) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
(*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y) |
#s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y z) x) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) |
#s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(*.f64 #s(literal 0 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z)) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) |
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (*.f64 y #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(pow.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z y) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)) |
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(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 y x) z) y)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) z)) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 z (/.f64 (*.f64 (neg.f64 y) x) y))) y) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (neg.f64 y) x))) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y x) z))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 y (/.f64 y (*.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (*.f64 y x))))) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) z) (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y) |
(/.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) x) y) z) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 z (/.f64 (*.f64 (neg.f64 y) x) y)) (neg.f64 y)) |
(/.f64 (*.f64 z (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y x) z)) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y (/.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y (/.f64 y (*.f64 y x)))) |
(/.f64 (*.f64 (*.f64 y x) z) (*.f64 y y)) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 y (/.f64 y (*.f64 y x))))) |
(/.f64 (*.f64 (neg.f64 z) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 y x) y) (/.f64 z y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y (*.f64 y x))) z)) |
(/.f64 z (*.f64 y (/.f64 y (*.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 y x) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (/.f64 y (*.f64 y x))) z))) |
(neg.f64 (*.f64 (neg.f64 z) (*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (*.f64 y x) y) (/.f64 z y)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y x) y) (/.f64 z y))) #s(literal -1 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 y (*.f64 y x))) z)) |
Compiled 16 191 to 1 943 computations (88% saved)
36 alts after pruning (26 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 15 | 477 |
| Fresh | 5 | 11 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 468 | 36 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ✓ | 76.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
| ✓ | 76.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| 68.5% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) | |
| ✓ | 83.8% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
| 46.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ✓ | 63.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 89.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) | |
| 27.1% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) | |
| 78.6% | (/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) | |
| 76.3% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) | |
| 79.3% | (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 z) x) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) | |
| ✓ | 91.6% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
| 71.7% | (*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 77.0% | (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) | |
| 85.9% | (neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) | |
| 52.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| ✓ | 49.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 36.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) | |
| 30.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) | |
| 51.5% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) | |
| 80.0% | #s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) | |
| ✓ | 49.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
| 49.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) | |
| 46.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) | |
| ✓ | 27.4% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
| 41.4% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) | |
| 40.7% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) | |
| 45.4% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) | |
| 47.7% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) | |
| 43.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) | |
| 45.0% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) | |
| ✓ | 43.0% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
| 44.6% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) | |
| 45.4% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) | |
| 25.9% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
Compiled 2 636 to 1 004 computations (61.9% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) |
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 z) x) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 x (cosh.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x))) |
5 calls:
| 17.0ms | y |
| 17.0ms | z |
| 16.0ms | x |
| 15.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 15.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | x |
| 96.1% | 1 | y |
| 96.1% | 1 | 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) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) |
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 z) x) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.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 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
5 calls:
| 16.0ms | y |
| 16.0ms | z |
| 16.0ms | x |
| 15.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 2 | y |
| 94.2% | 2 | z |
| 96.7% | 2 | x |
| 95.7% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.7% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) |
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 z) x) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x))) |
3 calls:
| 15.0ms | x |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 14.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 93.5% | 2 | x |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) |
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x))) |
3 calls:
| 15.0ms | y |
| 14.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 2 | y |
| 93.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 93.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) |
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
2 calls:
| 15.0ms | y |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | z |
| 94.2% | 2 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 y z)) x (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) (neg.f64 y))) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y))) |
(/.f64 #s(approx (* y (cosh x)) (fma.f64 (*.f64 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 x x) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) z (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 z z)))) |
#s(approx (/ (* (cosh x) (/ y x)) 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) (/.f64 y x))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
3 calls:
| 14.0ms | y |
| 14.0ms | z |
| 13.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 90.9% | 1 | y |
| 90.9% | 1 | z |
Compiled 8 to 12 computations (-50% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y)) |
(/.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)) x) y)) z) |
| 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) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
2 calls:
| 11.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 93.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
5 calls:
| 11.0ms | y |
| 11.0ms | z |
| 11.0ms | x |
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 10.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.5% | 2 | z |
| 80.0% | 1 | y |
| 89.2% | 2 | x |
| 83.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 83.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.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 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
(*.f64 (/.f64 y (*.f64 x z)) #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (*.f64 (/.f64 x z) x) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y x) z) y) y))) |
(*.f64 (/.f64 y (*.f64 z x)) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 x z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) z) (neg.f64 x)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y x) (*.f64 y y)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) x) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 y x)) z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 y (/.f64 x z)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (*.f64 (/.f64 y z) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 x z) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (*.f64 (/.f64 (*.f64 y x) z) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) (/.f64 #s(literal 1 binary64) (*.f64 z x))) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y)) |
5 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 2 | y |
| 58.1% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 59.0% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 55.3% | 2 | z |
| 66.4% | 2 | x |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 2.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 1 | z |
| 49.5% | 1 | y |
| 49.5% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 49.5% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 49.5% | 1 | x |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0377386609115637e+289 | 1.736552078183924e+289 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.0247246303379976e+41 | 1.6342499609817012e+47 |
| 9.0ms | 144× | 0 | valid |
Compiled 335 to 265 computations (20.9% saved)
ival-div: 2.0ms (41% of total)ival-cosh: 2.0ms (41% of total)ival-mult: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0377386609115637e+289 | 1.736552078183924e+289 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.497749914172139e-93 | 7.681318586584357e-93 |
| 3.0ms | 48× | 0 | valid |
Compiled 179 to 127 computations (29.1% saved)
ival-div: 1.0ms (61.5% of total)ival-cosh: 1.0ms (61.5% 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 | 1.1464215416033164e+99 | 5.8249185401635295e+100 |
| 7.0ms | 112× | 0 | valid |
Compiled 396 to 272 computations (31.3% saved)
ival-div: 2.0ms (52.5% of total)ival-mult: 1.0ms (26.2% of total)ival-cosh: 1.0ms (26.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7198688675223053e+296 | 1.652930692914232e+297 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7198688675223053e+296 | 1.652930692914232e+297 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.6054997289755293e+103 | 1.0589503306611527e+105 |
| 7.0ms | 112× | 0 | valid |
Compiled 438 to 314 computations (28.3% saved)
ival-div: 2.0ms (53.2% of total)ival-mult: 1.0ms (26.6% of total)ival-cosh: 1.0ms (26.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6054997289755293e+103 | 1.0589503306611527e+105 |
Compiled 487 to 349 computations (28.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.3384136923067155e+28 | 5.057569066924358e+28 |
| 4.0ms | 64× | 0 | valid |
Compiled 291 to 201 computations (30.9% saved)
ival-div: 1.0ms (46.3% of total)ival-cosh: 1.0ms (46.3% 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 |
|---|---|---|
| 16.0ms | 0.00034822148194692726 | 190.5591977908072 |
| 9.0ms | 144× | 0 | valid |
Compiled 614 to 409 computations (33.4% saved)
ival-div: 2.0ms (36.2% of total)ival-cosh: 2.0ms (36.2% of total)ival-mult: 1.0ms (18.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00034822148194692726 | 190.5591977908072 |
Compiled 506 to 364 computations (28.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00034822148194692726 | 190.5591977908072 |
Compiled 632 to 400 computations (36.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.00034822148194692726 | 190.5591977908072 |
| 6.0ms | 96× | 0 | valid |
Compiled 569 to 382 computations (32.9% saved)
ival-cosh: 2.0ms (53.8% of total)ival-div: 1.0ms (26.9% of total)ival-mult: 1.0ms (26.9% 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 | 0.00034822148194692726 | 190.5591977908072 |
Compiled 587 to 373 computations (36.5% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 925 |
| 1 | 200 | 923 |
| 2 | 238 | 923 |
| 3 | 337 | 923 |
| 4 | 564 | 923 |
| 5 | 902 | 923 |
| 6 | 1296 | 923 |
| 7 | 1651 | 923 |
| 8 | 1894 | 923 |
| 9 | 2030 | 923 |
| 10 | 2090 | 923 |
| 11 | 2123 | 923 |
| 12 | 2139 | 923 |
| 13 | 2143 | 923 |
| 14 | 2143 | 923 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 15000000000000000925917502918007353304915584664445168874650792758082200648095073384138087564166971950414656876772368919655188617815093425760731730305048084283138865316374282327920211455072063044091007894036941586749226938683552204622310168635505630286819886374777695755413342638169890226176 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)))) |
(if (<=.f64 x #s(literal 159999999999999998902371045751523407162547109888 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 15000000000000000925917502918007353304915584664445168874650792758082200648095073384138087564166971950414656876772368919655188617815093425760731730305048084283138865316374282327920211455072063044091007894036941586749226938683552204622310168635505630286819886374777695755413342638169890226176 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x)))) |
(if (<=.f64 y #s(literal 4462230907270283/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) (neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x)))) |
(if (<=.f64 z #s(literal 11499999999999999502949135483233882716803262460305456273406133023161182149861594811318990661912363008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 x #s(literal 16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z)))) |
(if (<=.f64 x #s(literal 16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z)))) |
(if (<=.f64 x #s(literal 40999999999999998070888595456 binary64)) (/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z)))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 15000000000000000925917502918007353304915584664445168874650792758082200648095073384138087564166971950414656876772368919655188617815093425760731730305048084283138865316374282327920211455072063044091007894036941586749226938683552204622310168635505630286819886374777695755413342638169890226176 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.f64 (cosh.f64 x) y)) (neg.f64 x)))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 15000000000000000925917502918007353304915584664445168874650792758082200648095073384138087564166971950414656876772368919655188617815093425760731730305048084283138865316374282327920211455072063044091007894036941586749226938683552204622310168635505630286819886374777695755413342638169890226176 binary64)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 z (*.f64 y (cosh.f64 x)))))) |
(if (<=.f64 x #s(literal 159999999999999998902371045751523407162547109888 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x)))) |
(if (<=.f64 x #s(literal 159999999999999998902371045751523407162547109888 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (/.f64 z (*.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)) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 15000000000000000925917502918007353304915584664445168874650792758082200648095073384138087564166971950414656876772368919655188617815093425760731730305048084283138865316374282327920211455072063044091007894036941586749226938683552204622310168635505630286819886374777695755413342638169890226176 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (*.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)) (neg.f64 x)))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 15000000000000000925917502918007353304915584664445168874650792758082200648095073384138087564166971950414656876772368919655188617815093425760731730305048084283138865316374282327920211455072063044091007894036941586749226938683552204622310168635505630286819886374777695755413342638169890226176 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) (/.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (/.f64 z (*.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)) x))) |
(if (<=.f64 y #s(literal 4462230907270283/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) (neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y z)) (neg.f64 x)))) |
(if (<=.f64 y #s(literal 4462230907270283/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) (/.f64 (*.f64 (/.f64 y z) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) x)) |
(if (<=.f64 z #s(literal 11499999999999999502949135483233882716803262460305456273406133023161182149861594811318990661912363008 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.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) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.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)) z) x) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 500000000000000008826400731378189857187439390359932388419721569559872411934627621534506111441735179539411036414609705614267467201356312352807725246163989728250397728169600880974725580403723647263828111371808796024424983945052915681430896212664913964198626187199191511121654255195349215029229518848 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) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 x #s(literal 16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z)))) |
(if (<=.f64 x #s(literal 16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y) z)))) |
(if (<=.f64 x #s(literal 16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (*.f64 y (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 x z))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z)))) |
(if (<=.f64 x #s(literal 16200000000000000747179396818994398230448910393118120325332274084690658166372744572721701248800582008832 binary64)) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (*.f64 z x)) y) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y) z)))) |
(if (<=.f64 x #s(literal 40999999999999998070888595456 binary64)) (/.f64 #s(approx (* y (cosh x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) z))) y))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 y (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) z)))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) y) z)))) |
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) y) x) z))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 #s(approx (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) #s(approx (* (+ (* (/ (* x x) z) 1/24) (/ 1/2 z)) x) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) y))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (/ (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) x) y) #s(approx (* (* (/ y z) x) (+ (* 1/24 (* x x)) 1/2)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 516 |
| 0 | 101 | 485 |
| 1 | 392 | 470 |
| 2 | 2734 | 470 |
| 0 | 8076 | 461 |
| 0 | 165 | 739 |
| 1 | 522 | 731 |
| 2 | 1641 | 677 |
| 3 | 4530 | 653 |
| 0 | 8119 | 604 |
| 0 | 70 | 214 |
| 1 | 201 | 210 |
| 2 | 600 | 198 |
| 3 | 1414 | 192 |
| 4 | 2105 | 192 |
| 5 | 2771 | 190 |
| 6 | 3308 | 190 |
| 7 | 4809 | 186 |
| 8 | 5457 | 186 |
| 9 | 5927 | 186 |
| 10 | 6459 | 186 |
| 11 | 7747 | 186 |
| 0 | 8030 | 168 |
| 0 | 203 | 830 |
| 1 | 671 | 814 |
| 2 | 2315 | 750 |
| 3 | 5999 | 748 |
| 0 | 8340 | 698 |
| 0 | 48 | 382 |
| 0 | 74 | 378 |
| 1 | 247 | 375 |
| 2 | 1574 | 375 |
| 0 | 8210 | 358 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 0 | 191 | 702 |
| 1 | 650 | 695 |
| 2 | 2174 | 633 |
| 3 | 5197 | 621 |
| 0 | 8320 | 578 |
| 0 | 32 | 222 |
| 0 | 53 | 222 |
| 1 | 186 | 222 |
| 2 | 1165 | 222 |
| 0 | 8574 | 222 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 564 to 663 computations (57.6% saved)
(negabs z)
Compiled 2 206 to 522 computations (76.3% saved)
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