
Time bar (total: 9.4s)
| 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)
| 812.0ms | 8 256× | 0 | valid |
ival-cosh: 153.0ms (44.9% of total)ival-div: 120.0ms (35.3% of total)ival-mult: 57.0ms (16.7% of total)ival-true: 7.0ms (2.1% of total)ival-assert: 4.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 1 | (3.702546943150812e+259 -1.3458158377533576e-64 7.262505373822105e+270) | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 9 | 0 | - | 1 | (-372.00156237112066 1.2878164284137662e+221 5.86664382060609e+300) | (/.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 | 32 | 0 |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 8 | 0 |
| ↳ | (cosh.f64 x) | overflow | 117 | |
| ↳ | (/.f64 y x) | overflow | 34 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 154 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 39 | 1 |
| - | 1 | 215 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 39 | 0 | 1 |
| - | 1 | 0 | 215 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 48.0ms | 512× | 0 | valid |
Compiled 100 to 39 computations (61% saved)
ival-div: 8.0ms (45.7% of total)ival-cosh: 6.0ms (34.2% of total)ival-mult: 3.0ms (17.1% 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 |
|---|---|---|
| ▶ | 84.5% | (/.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 | 0.00390625 | (cosh.f64 x) | |
| accuracy | 2.1894009750243253 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 6.179687500000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 55.0ms | 256× | 0 | valid |
Compiled 46 to 16 computations (65.2% saved)
ival-cosh: 40.0ms (84.1% of total)ival-div: 6.0ms (12.6% of total)ival-mult: 1.0ms (2.1% 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 | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 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)))) |
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(/.f64 (*.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)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.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 |
|---|---|---|
| ✓ | 84.5% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ▶ | 77.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
| 75.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 69.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 76.9% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| 52.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| ▶ | 63.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| ▶ | 88.8% | (/.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) |
| ▶ | 87.2% | (/.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) |
| 85.2% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| ▶ | 51.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 59.1% | #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))) | |
| 78.4% | #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))) | |
| 86.9% | #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 504 to 351 computations (30.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 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)) x) y) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 320 | (/.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) | |
| 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 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 429 |
| 0 | 64 | 429 |
| 1 | 113 | 429 |
| 2 | 188 | 429 |
| 3 | 399 | 429 |
| 4 | 844 | 429 |
| 5 | 1947 | 429 |
| 6 | 3712 | 421 |
| 7 | 5416 | 421 |
| 8 | 6372 | 421 |
| 9 | 6513 | 421 |
| 10 | 6698 | 421 |
| 11 | 6969 | 421 |
| 12 | 7707 | 421 |
| 0 | 8001 | 413 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #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)) (*.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)) |
(*.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) |
(/.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) |
(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 |
z |
#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 #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) |
#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)) |
(*.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) |
(/.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) |
(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) |
y |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#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) |
(/.f64 y 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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) y)) z) |
#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)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) y)) |
(*.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) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) y) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) 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 (*.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 |
z |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (/.f64 y x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (/.f64 y x)) |
(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 #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 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#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)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) 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)) x) y) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) 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)) x) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) 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 #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) |
y |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 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)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 y 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(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) |
(/.f64 y x) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 2.1894009750243253 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 6.179687500000001 | (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) | |
| accuracy | 7.025753393424191 | #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 | 1.8715072097698753 | (/.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) | |
| accuracy | 2.1894009750243253 | (/.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) | |
| accuracy | 3.4850257963712434 | (*.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) | |
| accuracy | 11.884621532470707 | #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)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.37058522963576174 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 2.1894009750243253 | (/.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 | 23.84069323402485 | #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 | 3.936998303740027 | (/.f64 y (*.f64 z x)) | |
| accuracy | 28.74949152241561 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 0.2558088380564949 | (/.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) | |
| accuracy | 1.787463643331595 | (*.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) | |
| accuracy | 2.1894009750243253 | (/.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) | |
| accuracy | 7.333107775608832 | #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)) |
| 74.0ms | 256× | 0 | valid |
Compiled 738 to 71 computations (90.4% saved)
ival-mult: 17.0ms (38.9% of total)ival-div: 10.0ms (22.9% of total)ival-add: 7.0ms (16% of total)const: 7.0ms (16% of total)ival-cosh: 3.0ms (6.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.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)) (*.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)) |
(*.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) |
(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 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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) |
#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)) |
(*.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (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) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* x z) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (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)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ 1 x) (+ (* 1/720 (* x x)) 1/24)) |
| 7.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (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)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ 1 x) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (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)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ 1 x) (+ (* 1/720 (* x x)) 1/24)) |
| 4.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (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)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ 1 x) (+ (* 1/720 (* x x)) 1/24)) |
| 4.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) y) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (/ (* (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)) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) x) (/ 1 x) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 809 |
| 1 | 620 | 801 |
| 2 | 2005 | 757 |
| 3 | 4902 | 731 |
| 0 | 8356 | 690 |
| 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))))))) |
(* x z) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y x) z) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (*.f64 (/.f64 y 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))) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 (/.f64 y z) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64)) (/.f64 y z))) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(*.f64 (/.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)) |
(* x z) |
(*.f64 z x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) y) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 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)) |
(* 1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ 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 3 binary64))) |
(* (pow x 3) (+ 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 3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(* 1/24 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(fma.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)) (/.f64 y x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (/.f64 y x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 2))) 1/24))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) x) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(fma.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)) (/.f64 y x)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) 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) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(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) |
(*.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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 328 |
| 0 | 64 | 328 |
| 1 | 242 | 328 |
| 2 | 1622 | 328 |
| 0 | 8448 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #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)) (*.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)) |
(*.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) |
(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 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 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (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) |
#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)) |
(*.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) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (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) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) (neg.f64 z))) |
(*.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z)) |
(pow.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y))))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))) |
(neg.f64 (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))) |
(*.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) #s(literal 1 binary64)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
(neg.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 y (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 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y 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 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(pow.f64 (/.f64 x (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) x) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y))) x) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (neg.f64 x)) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 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))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal 1/13824 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
Compiled 25 542 to 2 937 computations (88.5% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 695 | 22 | 717 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 699 | 32 | 731 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.5% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 77.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 77.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 77.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 75.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 77.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 69.2% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 76.9% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| ▶ | 88.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
| 52.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 64.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) | |
| ✓ | 63.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) | |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) | |
| ✓ | 87.2% | (/.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) |
| ▶ | 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
| 76.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) | |
| 88.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) y)) z) | |
| ▶ | 21.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
| ▶ | 78.4% | (*.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))) z) (/.f64 y x)) |
| 83.4% | (*.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))) x) (/.f64 y z)) | |
| 73.6% | (*.f64 (/.f64 y (*.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)))) | |
| 77.3% | (*.f64 (*.f64 (/.f64 (neg.f64 y) 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)))) (/.f64 #s(literal -1 binary64) z)) | |
| 85.2% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| 52.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| 74.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) | |
| ✓ | 51.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 51.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) | |
| ▶ | 59.1% | #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))) |
| 86.9% | #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)) | |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) | |
| 51.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
Compiled 1 339 to 922 computations (31.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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))) z) | |
| cost-diff | 0 | (*.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))) z) (/.f64 y 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)) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) | |
| cost-diff | 320 | (/.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) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| 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)) (/.f64 y z)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| cost-diff | 320 | (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 476 |
| 0 | 73 | 476 |
| 1 | 123 | 476 |
| 2 | 214 | 476 |
| 3 | 488 | 476 |
| 4 | 1248 | 476 |
| 5 | 2244 | 470 |
| 6 | 4275 | 470 |
| 7 | 6633 | 470 |
| 8 | 6812 | 470 |
| 9 | 7120 | 470 |
| 10 | 7693 | 470 |
| 0 | 8007 | 464 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
(/.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)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)) |
(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) |
(/.f64 y z) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
#s(approx (* (cosh x) (/ 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)) |
(/.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) |
(*.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) |
(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) |
y |
z |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.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))) 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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(*.f64 y (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
(/.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)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) z) 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) |
(/.f64 y z) |
y |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) 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)) y) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) x)) 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) |
(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) |
y |
z |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) 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))) z) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) 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))) |
#s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) | |
| accuracy | 7.025753393424191 | #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))) | |
| accuracy | 8.175444668145948 | (*.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))) z) (/.f64 y x)) | |
| accuracy | 2.1167749403324843 | (/.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) | |
| accuracy | 2.1894009750243253 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) | |
| accuracy | 3.301333504992726 | (*.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) | |
| accuracy | 11.884621532470707 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 5.112237698727478 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)) | |
| accuracy | 22.257287906515362 | #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))) | |
| accuracy | 0.37058522963576174 | (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) | |
| accuracy | 2.1894009750243253 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) | |
| accuracy | 23.84069323402485 | #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) | |
| accuracy | 33.29652823610309 | #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.2558088380564949 | (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) | |
| accuracy | 1.787463643331595 | (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) | |
| accuracy | 2.1894009750243253 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| accuracy | 7.333107775608832 | #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
| 83.0ms | 256× | 0 | valid |
Compiled 819 to 85 computations (89.6% saved)
ival-mult: 21.0ms (35.2% of total)ival-div: 16.0ms (26.8% of total)ival-add: 8.0ms (13.4% of total)const: 8.0ms (13.4% of total)ival-cosh: 7.0ms (11.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(/.f64 #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)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) |
#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 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) 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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
#s(approx (* (cosh x) (/ 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)) |
(*.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) |
(*.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))) z) (/.f64 y x)) |
(/.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))) 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))) |
(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) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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)) |
| Outputs |
|---|
(/ 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) |
(/ 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) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(/ 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)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
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))))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ y z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((* (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y z) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2)) |
| 8.0ms | x | @ | -inf | ((* (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y z) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2)) |
| 5.0ms | y | @ | -inf | ((* (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y z) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2)) |
| 5.0ms | y | @ | inf | ((* (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y z) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2)) |
| 4.0ms | y | @ | 0 | ((* (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) x) x) 1) 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) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (+ (* 1/2 x) (/ 1 x)) (/ 1 x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (/ y z) (+ (* (* x x) 1/720) 1/24) (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 1016 |
| 1 | 718 | 1004 |
| 2 | 2266 | 951 |
| 3 | 5095 | 924 |
| 0 | 8324 | 866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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) |
(/ 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) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(/ 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)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
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))))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ y z) |
| Outputs |
|---|
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(*.f64 (/.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) |
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.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 #s(literal 1/24 binary64) (*.f64 x x) #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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
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) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (/.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)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z)) |
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)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) y) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(* 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 (/ (* x y) z)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))) |
(* 1/24 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(fma.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)) (/.f64 y x)) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) z) #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)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (fma.f64 y (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(*.f64 (/.f64 y z) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(fma.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)) (/.f64 y x)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) 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) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(/ y z) |
(/.f64 y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 369 |
| 0 | 73 | 369 |
| 1 | 266 | 369 |
| 2 | 1744 | 369 |
| 0 | 8499 | 369 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(/.f64 #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)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) |
#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 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 y z)) |
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) 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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
#s(approx (* (cosh x) (/ 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)) |
(*.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) |
(*.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))) z) (/.f64 y x)) |
(/.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))) 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))) |
(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) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) x)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x))) |
(pow.f64 (/.f64 x (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) y)) x) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) x) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) y) (neg.f64 x)) |
(/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))))) |
(/.f64 y (/.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) y))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #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))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)) |
Compiled 32 156 to 3 649 computations (88.7% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 865 | 19 | 884 |
| Fresh | 9 | 14 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 878 | 38 | 916 |
| Status | Accuracy | Program |
|---|---|---|
| 77.4% | (/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) | |
| ✓ | 84.5% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 75.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 77.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 76.9% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| 88.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) | |
| 78.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) | |
| 52.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 64.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) | |
| ✓ | 63.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) | |
| ▶ | 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
| 76.6% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| 88.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) x)) y)) z) | |
| ✓ | 21.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
| 70.6% | (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| ▶ | 21.0% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
| ▶ | 83.4% | (*.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))) x) (/.f64 y z)) |
| 78.4% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 78.4% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 70.5% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 51.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) | |
| 73.6% | (*.f64 (/.f64 y (*.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)))) | |
| 77.5% | (*.f64 (*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x))) | |
| 21.0% | (*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) | |
| 77.7% | (*.f64 #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)) | |
| 85.2% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| 52.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| 74.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) | |
| ✓ | 51.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 51.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) | |
| ✓ | 59.1% | #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))) |
| 58.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) | |
| 59.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) | |
| ▶ | 86.9% | #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)) |
| 52.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) | |
| 51.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) | |
| ▶ | 22.5% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
Compiled 1 602 to 1 131 computations (29.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (/.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))) x) | |
| cost-diff | 0 | (*.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))) x) (/.f64 y z)) | |
| 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 | (*.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 | 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 | 0 | (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| cost-diff | 320 | (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 530 |
| 0 | 83 | 530 |
| 1 | 158 | 530 |
| 2 | 273 | 528 |
| 3 | 540 | 528 |
| 4 | 969 | 528 |
| 5 | 2115 | 528 |
| 6 | 4082 | 525 |
| 7 | 5837 | 525 |
| 8 | 6216 | 525 |
| 9 | 6391 | 525 |
| 10 | 6432 | 525 |
| 11 | 6456 | 525 |
| 0 | 9037 | 515 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#s(literal 1 binary64) |
(/.f64 z #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)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
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 (/.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 |
(*.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))) x) (/.f64 y z)) |
(/.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))) 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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) y (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) y (/.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) y (/.f64 y x)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) x))) |
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) x)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) y) x) |
(*.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) 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(literal 1 binary64) |
(/.f64 z #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)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
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 (/.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 |
(*.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) |
(/.f64 #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) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) x) |
#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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.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))) x) | |
| accuracy | 0.01953125 | (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)) | |
| accuracy | 2.6009090335013743 | #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))) | |
| accuracy | 4.106018784595282 | (*.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))) x) (/.f64 y z)) | |
| accuracy | 0.01953125 | (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 | 0.15234375 | (/.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 | 1.8844460456031191 | #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)) | |
| accuracy | 2.4376437084588707 | (*.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 | 0.41530674830660363 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) | |
| accuracy | 2.222133786928505 | (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) | |
| accuracy | 2.5850607153477454 | #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) | |
| accuracy | 33.29652823610309 | #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) | |
| accuracy | 1.8901226353727776 | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) | |
| accuracy | 2.3992386575098257 | (*.f64 (/.f64 y z) x) | |
| accuracy | 30.44626374910058 | #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.1484375 | (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) | |
| accuracy | 0.36667897963576174 | (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) | |
| accuracy | 2.1894009750243253 | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| accuracy | 2.571419915590765 | #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
| 134.0ms | 111× | 2 | exit |
| 90.0ms | 143× | 0 | valid |
| 3.0ms | 1× | 5 | exit |
| 1.0ms | 1× | 3 | valid |
Compiled 903 to 100 computations (88.9% saved)
ival-mult: 69.0ms (41.3% of total)ival-cosh: 28.0ms (16.8% of total)ival-div: 22.0ms (13.2% of total)const: 18.0ms (10.8% of total)adjust: 16.0ms (9.6% of total)ival-add: 14.0ms (8.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y z) x) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) 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 (/.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) |
(*.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))) x) (/.f64 y z)) |
(/.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))) 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))) |
(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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) 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)) |
| Outputs |
|---|
(/ 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) |
(/ 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) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(* 1/2 (/ (* x y) z)) |
(/ (* x y) z) |
(/ (* x z) y) |
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(/ 1 (* 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)) |
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))))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (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))))) |
(* 1/24 (/ (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 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 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 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -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 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (* 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)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 91.0ms | y | @ | -inf | ((* (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (/ (* (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) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (cosh x) x) (/ y z)) (/ (cosh x) x) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/2 x) (/ 1 x)) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) |
| 48.0ms | x | @ | inf | ((* (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (/ (* (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) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (cosh x) x) (/ y z)) (/ (cosh x) x) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/2 x) (/ 1 x)) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) |
| 6.0ms | x | @ | -inf | ((* (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (/ (* (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) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (cosh x) x) (/ y z)) (/ (cosh x) x) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/2 x) (/ 1 x)) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) |
| 5.0ms | z | @ | -inf | ((* (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (/ (* (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) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (cosh x) x) (/ y z)) (/ (cosh x) x) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/2 x) (/ 1 x)) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) |
| 5.0ms | y | @ | 0 | ((* (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) y) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ (+ (* (* (+ (* (* (+ (* 1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) x) (/ (* (cosh x) (/ y x)) z) (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (* (* (/ y z) x) 1/2) (* (/ y z) x) (/ 1 (/ z (* (cosh x) (/ y x)))) (/ z (* (cosh x) (/ y x))) (* (cosh x) (/ y x)) (* (+ (* 1/2 x) (/ 1 x)) y) (/ (* (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) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (* (/ (cosh x) x) (/ y z)) (/ (cosh x) x) (cosh x) (+ (* (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) (* x x)) 1) (* (+ (* 1/720 (* x x)) 1/24) x) (+ (* 1/2 x) (/ 1 x)) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1204 |
| 1 | 927 | 1194 |
| 2 | 3036 | 1115 |
| 3 | 7776 | 1115 |
| 0 | 8021 | 1055 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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) |
(/ 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) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(* 1/2 (/ (* x y) z)) |
(/ (* x y) z) |
(/ (* x z) y) |
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(/ 1 (* 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)) |
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))))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (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))))) |
(* 1/24 (/ (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 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 (pow x 2)))) |
(* 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 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -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 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(/ (* 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)) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
| Outputs |
|---|
(/ 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 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)) x)) |
(/ (+ 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) |
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.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 #s(literal 1/24 binary64) (*.f64 x x) #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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(* 1/2 (/ (* x y) z)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (* x z) y) |
(*.f64 (/.f64 x y) z) |
(* x (+ (* -1/2 (/ (* (pow x 2) z) y)) (/ z y))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 z y)) x) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(fma.f64 (/.f64 x y) z (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 z y) (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/4 (/ z y)) (* 1/24 (/ z y)))) (+ (* -1/48 (/ z y)) (* 1/720 (/ z y)))))) (+ (* -1/4 (/ z y)) (* 1/24 (/ z y))))) (* 1/2 (/ z y)))) (/ z y))) |
(fma.f64 (/.f64 x y) z (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal 61/720 binary64)) x) (neg.f64 x) (*.f64 #s(literal 5/24 binary64) (/.f64 z y))) (*.f64 x x) (*.f64 (/.f64 z y) #s(literal -1/2 binary64))))) |
(/ 1 (* x z)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) z) |
(/ (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (/.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 x x) z) #s(literal 1/2 binary64) (/.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)) |
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)) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) y) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) x) (/.f64 y x) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) x) (/.f64 y x) (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) y) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 y x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 y x) x) z)) x) |
(* 2 (/ (* x z) (* y (+ (exp x) (/ 1 (exp x)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) z) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(* 1/2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) x) |
(* 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 (/.f64 y (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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) x)) (/.f64 #s(literal 1/24 binary64) z)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) z)) (/.f64 #s(literal 1/24 binary64) z)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (/ (pow x 4) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) z) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) x)) (/.f64 #s(literal 1/24 binary64) z)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) x)) (/.f64 #s(literal 1/24 binary64) z)) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(*.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) x) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) |
(* 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 (/.f64 x x) x)) |
(* 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 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (neg.f64 (fma.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 y x) x)))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (neg.f64 (-.f64 (fma.f64 y (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 y x) x))) (/.f64 y (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) x) x) #s(literal 1/720 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 y x) x) z)) x) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (/.f64 y x) x)) x) |
(* -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 (/.f64 y (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 (/.f64 #s(literal 1 binary64) x) x) z) (/.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 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) 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) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) z) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y) |
(/ (* 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)) z) (/.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 | 49 | 414 |
| 0 | 83 | 414 |
| 1 | 332 | 412 |
| 2 | 1976 | 412 |
| 0 | 8193 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 y z) x) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
(/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) 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 (/.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) |
(*.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))) x) (/.f64 y z)) |
(/.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))) 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))) |
(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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) |
#s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) 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)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 y (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 #s(literal 1 binary64) (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))))) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 y (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) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 y (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))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (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 y x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y 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 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y 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)))) |
(pow.f64 (/.f64 x (*.f64 y (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 (neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 x))) |
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(*.f64 #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))) |
(pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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))) #s(literal 3 binary64)) (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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))) (pow.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)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.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))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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 (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(literal 1 binary64))) (*.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)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.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)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #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 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.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)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.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)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 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 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.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)) #s(literal -1 binary64)) (neg.f64 (pow.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)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #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 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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))) (pow.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)) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 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))) (neg.f64 (pow.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)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
Compiled 30 542 to 3 487 computations (88.6% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 860 | 12 | 872 |
| Fresh | 8 | 20 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 871 | 39 | 910 |
| Status | Accuracy | Program |
|---|---|---|
| 77.4% | (/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) | |
| ✓ | 84.5% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 75.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 77.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 76.9% | (/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) | |
| 78.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) | |
| 52.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| 64.3% | (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) | |
| ✓ | 63.9% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) y)) z) |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) | |
| 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| ✓ | 88.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
| 87.2% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) | |
| 88.7% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) x)) y)) z) | |
| ✓ | 21.0% | (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)) z) |
| 70.6% | (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) | |
| 51.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) | |
| ✓ | 83.4% | (*.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))) x) (/.f64 y z)) |
| 78.4% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 78.4% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 73.6% | (*.f64 (/.f64 y (*.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)))) | |
| 77.5% | (*.f64 (*.f64 (neg.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)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) | |
| 21.0% | (*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) | |
| 77.7% | (*.f64 #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)) | |
| 85.2% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) | |
| 52.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| 77.5% | #s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) | |
| 74.2% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) | |
| ✓ | 51.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| ✓ | 59.1% | #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))) |
| 59.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) | |
| 75.6% | #s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) | |
| 86.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)) | |
| 75.6% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) | |
| 51.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) | |
| 22.1% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) | |
| 21.0% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) | |
| 22.5% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) | |
| 23.2% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
Compiled 2 554 to 981 computations (61.6% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) |
(*.f64 (/.f64 y (*.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)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.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))) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) 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 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x))) |
(*.f64 (*.f64 (neg.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)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) 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)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
(*.f64 #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(*.f64 y (/.f64 (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 (cosh.f64 x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)) |
5 calls:
| 55.0ms | x |
| 49.0ms | y |
| 37.0ms | z |
| 19.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 18.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 94.3% | 3 | y |
| 91.6% | 2 | z |
| 96.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 96.6% | 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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) |
(*.f64 (/.f64 y (*.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)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.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))) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) 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 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x))) |
(*.f64 (*.f64 (neg.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)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) 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)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
(*.f64 #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(/.f64 (cosh.f64 x) (*.f64 (/.f64 x y) z)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)) |
3 calls:
| 60.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 20.0ms | x |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 93.4% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 93.7% | 3 | (*.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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) |
(*.f64 (/.f64 y (*.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)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.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))) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) 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 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 y x) #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (*.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x))) |
(*.f64 (*.f64 (neg.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)))) y) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) 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)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (/.f64 #s(literal -1 binary64) x)) y)) z) |
(*.f64 #s(approx (/ (cosh x) z) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) z))) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
4 calls:
| 31.0ms | x |
| 24.0ms | y |
| 22.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 91.7% | 2 | y |
| 88.8% | 1 | x |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) |
(*.f64 (/.f64 y (*.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)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.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))) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) 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 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(*.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))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (*.f64 (/.f64 x y) z)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
1 calls:
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) |
(*.f64 (/.f64 y (*.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)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.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))) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) 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 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)) |
2 calls:
| 15.0ms | y |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | z |
| 90.9% | 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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) y y) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z)))) y)) |
(*.f64 (/.f64 y (*.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)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) y) (*.f64 z x)) |
(/.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))) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)) |
1 calls:
| 41.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) 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 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (* (+ (* 1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.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 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)) |
4 calls:
| 35.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 28.0ms | z |
| 10.0ms | y |
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 89.4% | 2 | z |
| 89.4% | 2 | y |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
5 calls:
| 31.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 31.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | y |
| 83.1% | 2 | z |
| 86.5% | 2 | x |
| 80.7% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 80.7% | 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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
1 calls:
| 30.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
5 calls:
| 31.0ms | z |
| 12.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 8.0ms | y |
| 8.0ms | x |
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 78.5% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 80.7% | 2 | y |
| 80.3% | 2 | z |
| 78.5% | 1 | 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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
2 calls:
| 7.0ms | y |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | z |
| 80.3% | 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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x)) |
4 calls:
| 16.0ms | x |
| 7.0ms | y |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 2 | x |
| 79.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 79.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 74.2% | 1 | y |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
5 calls:
| 9.0ms | z |
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 1 | y |
| 66.6% | 2 | x |
| 64.3% | 1 | z |
| 67.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 67.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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) |
| Outputs |
|---|
(/.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) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
2 calls:
| 43.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 66.9% | 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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 y x))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 z y)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (cosh x) (/ y x))) (*.f64 (/.f64 x y) z))) |
(*.f64 (neg.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* (cosh x) (/ y x)) (*.f64 #s(approx (+ (* 1/2 x) (/ 1 x)) (*.f64 #s(literal 1/2 binary64) x)) y)))) |
#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))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
3 calls:
| 59.0ms | x |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 2 | x |
| 67.9% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 67.9% | 3 | (*.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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
(/.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)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64)))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 61.8% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 66.2% | 2 | x |
Compiled 15 to 16 computations (-6.7% 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:
| 13.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 51.7% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 51.7% | 1 | y |
| 51.7% | 1 | z |
| 51.7% | 1 | x |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 78.0ms | 2.6225015479787018e+75 | 1.3730944600735806e+79 |
| 12.0ms | 8.290310547657795e-151 | 9.363720837248195e-148 |
| 14.0ms | 256× | 0 | valid |
Compiled 443 to 373 computations (15.8% saved)
ival-div: 3.0ms (38.4% of total)ival-cosh: 3.0ms (38.4% of total)ival-mult: 1.0ms (12.8% 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 |
|---|---|---|
| 10.0ms | 1.3632272628075025e-33 | 1.372273039087444e-32 |
| 5.0ms | 96× | 0 | valid |
Compiled 335 to 241 computations (28.1% saved)
ival-div: 1.0ms (34.3% of total)ival-mult: 1.0ms (34.3% of total)ival-cosh: 1.0ms (34.3% 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 | 1.3632272628075025e-33 | 1.372273039087444e-32 |
Compiled 377 to 259 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 2.551550475725997e+151 | 5.899918593185859e+152 |
| 6.0ms | 112× | 0 | valid |
Compiled 445 to 314 computations (29.4% saved)
ival-div: 1.0ms (28.4% of total)ival-mult: 1.0ms (28.4% of total)ival-cosh: 1.0ms (28.4% 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 |
|---|---|---|
| 9.0ms | 2.8208995976231563e+149 | 2.899131779103183e+150 |
| 5.0ms | 96× | 0 | valid |
Compiled 311 to 229 computations (26.4% saved)
ival-div: 1.0ms (33.6% of total)ival-mult: 1.0ms (33.6% of total)ival-cosh: 1.0ms (33.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8072965719322436e+290 | 2.6742851545098644e+291 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 5.566078452236383e+138 | 2.416170545341255e+141 |
| 28.0ms | 128× | 0 | valid |
Compiled 499 to 357 computations (28.5% saved)
ival-cosh: 22.0ms (88.3% of total)ival-div: 2.0ms (8% of total)ival-mult: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.566078452236383e+138 | 2.416170545341255e+141 |
| 1.0ms | 8.290310547657795e-151 | 9.363720837248195e-148 |
Compiled 803 to 581 computations (27.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 5.854354332191959e+72 | 2.1377583235758587e+73 |
| 3.0ms | 64× | 0 | valid |
Compiled 235 to 177 computations (24.7% saved)
ival-div: 1.0ms (51% of total)ival-cosh: 1.0ms (51% 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 |
|---|---|---|
| 11.0ms | 8.345959111027169e-32 | 6.280458485158183e-30 |
| 6.0ms | 112× | 0 | valid |
Compiled 431 to 314 computations (27.1% saved)
ival-div: 1.0ms (28.6% of total)ival-mult: 1.0ms (28.6% of total)ival-cosh: 1.0ms (28.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9167571568728168e+52 | 5.628911509383746e+53 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 16.0ms | +inf | NaN |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.1369337334230591e-5 | 10.742783196462689 |
| 9.0ms | 144× | 0 | valid |
Compiled 371 to 292 computations (21.3% saved)
ival-cosh: 3.0ms (55.5% of total)ival-div: 2.0ms (37% of total)ival-mult: 1.0ms (18.5% 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 | 1.1369337334230591e-5 | 10.742783196462689 |
Compiled 389 to 301 computations (22.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 928 |
| 1 | 178 | 928 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 x #s(literal 2087496000668043/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)))) |
(if (<=.f64 y #s(literal 4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))) |
(if (<=.f64 y #s(literal 4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))) |
(if (<=.f64 y #s(literal 44500000000000002872232491688448483345788356050372424854968807574362513935700967743221624534586198309069376589883105741013156170852935885061218468102144 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 y #s(literal 290000000000000019881678240353079800492538080148951152373885419000821142391223760385501581867631450485870372458915836204452695595366664818698735321088 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 x #s(literal 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376 binary64)) #s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z)) |
(if (<=.f64 x #s(literal 2087496000668043/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (if (<=.f64 x #s(literal 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376 binary64)) #s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z))) |
(if (<=.f64 y #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 y #s(literal 178405961588245/713623846352979940529142984724747568191373312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 19999999999999999864418973487232559529234168838881280 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (/.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) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #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 +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 x #s(literal 2087496000668043/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)))) |
(if (<=.f64 x #s(literal 2087496000668043/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y)))) |
(if (<=.f64 y #s(literal 4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))) |
(if (<=.f64 y #s(literal 4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) x) y)) z) (*.f64 (/.f64 y z) (/.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))) x))) |
(if (<=.f64 y #s(literal 4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z))) |
(if (<=.f64 y #s(literal 4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) (*.f64 (/.f64 y z) (/.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))) x))) |
(if (<=.f64 y #s(literal 44500000000000002872232491688448483345788356050372424854968807574362513935700967743221624534586198309069376589883105741013156170852935885061218468102144 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 y #s(literal 290000000000000019881678240353079800492538080148951152373885419000821142391223760385501581867631450485870372458915836204452695595366664818698735321088 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 200000000000000012345566705573431377398874462192602251662010570107762675307934311788507834188892959338862091690298252262069181570867912343476423070733974457108518204218323764372269486067627507254546771920492554489989692515780696061630802248473408403824265151663702610072177901842265203015680 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 y x))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) z) x) y))) |
(if (<=.f64 x #s(literal 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376 binary64)) #s(approx (/ (* (cosh x) (/ 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)) y) (*.f64 z x))) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z)) |
(if (<=.f64 x #s(literal 2087496000668043/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (if (<=.f64 x #s(literal 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376 binary64)) #s(approx (/ (* (cosh x) (/ 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)) (*.f64 z x)) y)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z))) |
(if (<=.f64 y #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 #s(approx (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 y #s(literal 178405961588245/713623846352979940529142984724747568191373312 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 19999999999999999864418973487232559529234168838881280 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal 19999999999999999864418973487232559529234168838881280 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 y x))) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y z)) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (/.f64 y x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) #s(literal +inf.0 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 y x))) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal +inf.0 binary64)) (/.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) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal +inf.0 binary64)) (/.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) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 x z) y) #s(literal 1/2 binary64))))) |
(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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 y (/.f64 x z)) #s(literal 1/2 binary64))))) |
(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 (* (+ (* 1/2 x) (/ 1 x)) (/ y z)) (*.f64 (*.f64 (/.f64 x z) y) #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 | 49 | 414 |
| 0 | 83 | 414 |
| 1 | 332 | 412 |
| 2 | 1976 | 412 |
| 0 | 8193 | 405 |
| 0 | 193 | 809 |
| 1 | 620 | 801 |
| 2 | 2005 | 757 |
| 3 | 4902 | 731 |
| 0 | 8356 | 690 |
| 0 | 37 | 328 |
| 0 | 64 | 328 |
| 1 | 242 | 328 |
| 2 | 1622 | 328 |
| 0 | 8448 | 328 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 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 | 219 | 1016 |
| 1 | 718 | 1004 |
| 2 | 2266 | 951 |
| 3 | 5095 | 924 |
| 0 | 8324 | 866 |
| 0 | 44 | 369 |
| 0 | 73 | 369 |
| 1 | 266 | 369 |
| 2 | 1744 | 369 |
| 0 | 8499 | 369 |
| 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× | 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 |
Compiled 1 638 to 753 computations (54% saved)
(negabs y)
(negabs z)
Compiled 2 368 to 608 computations (74.3% saved)
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