
Time bar (total: 7.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 582.0ms | 8 256× | 0 | valid |
ival-div: 183.0ms (53.3% of total)ival-cosh: 101.0ms (29.4% of total)ival-mult: 49.0ms (14.3% of total)ival-true: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)adjust: 2.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 12 | 0 | - | 0 | - | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (/.f64 y x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (cosh.f64 x) (/.f64 y x)) | o*u | 30 | 0 |
| ↳ | (cosh.f64 x) | overflow | 121 | |
| ↳ | (/.f64 y x) | underflow | 30 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 12 | 0 |
| ↳ | (cosh.f64 x) | overflow | 121 | |
| ↳ | (/.f64 y x) | overflow | 33 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 154 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 42 | 0 |
| - | 0 | 214 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 42 | 0 | 0 |
| - | 0 | 0 | 214 |
| number | freq |
|---|---|
| 0 | 214 |
| 1 | 42 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 56 to 25 computations (55.4% saved)
ival-div: 7.0ms (42% of total)ival-cosh: 6.0ms (36% of total)ival-mult: 3.0ms (18% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 92 | 75 |
| 2 | 288 | 75 |
| 3 | 892 | 75 |
| 4 | 4706 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 51 | 8 |
| 3 | 150 | 8 |
| 4 | 742 | 8 |
| 5 | 5069 | 8 |
| 0 | 8101 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(negabs z)
(negabs y)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.7% | (/.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 | 51 | 22 |
| 3 | 150 | 22 |
| 4 | 742 | 22 |
| 5 | 5069 | 22 |
| 0 | 8101 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (cosh.f64 x) | |
| accuracy | 2.9014396071160866 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | |
| accuracy | 5.980468750000001 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 18.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 3.0ms (37.8% of total)ival-cosh: 3.0ms (37.8% of total)ival-mult: 1.0ms (12.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
(/ 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 | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 2.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (/ y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 214 |
| 1 | 255 | 200 |
| 2 | 1005 | 196 |
| 3 | 4431 | 194 |
| 0 | 8167 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y x) z) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) z) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) z) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.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)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 28 | 19 |
| 2 | 122 | 19 |
| 3 | 875 | 19 |
| 0 | 8292 | 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 (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) z) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) x)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x)) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (neg.f64 z) x)) (/.f64 (neg.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 z x)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z x)) (/.f64 (*.f64 y (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z x)) (/.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 (cosh.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 y (cosh.f64 x)) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 (/.f64 y #s(literal 2 binary64)) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (neg.f64 x)) (/.f64 (/.f64 y #s(literal 2 binary64)) (neg.f64 z))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 (/.f64 y #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 (/.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 z x))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) x) (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z)) |
(*.f64 (neg.f64 (*.f64 (/.f64 (cosh.f64 x) x) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z)) |
(*.f64 (*.f64 (/.f64 (cosh.f64 x) x) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z)) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) z) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (neg.f64 (cosh.f64 x)) (/.f64 (/.f64 (neg.f64 y) x) z)) |
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 (cosh.f64 x)) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (/.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 z x))) |
(*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))) |
(*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z))) (*.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)))) (-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) (-.f64 (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 y x) z) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z))) (*.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) z)))))) |
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(fma.f64 (/.f64 y x) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 y x)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 y x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 y (exp.f64 (neg.f64 x))) (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (/.f64 (neg.f64 y) x))) |
(+.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))) |
(+.f64 (/.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 x)) (/.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 (neg.f64 y) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 y) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (neg.f64 x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 x) (/.f64 y x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (/.f64 y x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 y x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 y x) (exp.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 y x) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 y x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) y) x) (/.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) y) x)) |
(+.f64 (/.f64 (*.f64 y (/.f64 (exp.f64 x) #s(literal 2 binary64))) x) (/.f64 (*.f64 y (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 y x)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 y x)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 y x) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 y x) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sinh.f64 x)) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) (cosh.f64 x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (neg.f64 x))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (exp.f64 x)))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (sinh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (sinh.f64 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.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 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(-.f64 (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (sinh.f64 x))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(-.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 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
Compiled 6 277 to 1 063 computations (83.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 8 | 316 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 309 | 8 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| 77.4% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ▶ | 79.7% | (/.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))) (/.f64 y x)) z) |
| ▶ | 70.3% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
| 86.1% | (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) | |
| ▶ | 89.5% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
| ▶ | 50.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| ▶ | 83.7% | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
| 76.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z))) |
Compiled 266 to 194 computations (27.1% saved)
| 1× | egg-herbie |
Found 19 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) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.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 y x)) | |
| cost-diff | 0 | (/.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))) (/.f64 y x)) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| cost-diff | 0 | (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| cost-diff | 2 | (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 328 |
| 0 | 61 | 328 |
| 1 | 121 | 328 |
| 2 | 346 | 328 |
| 3 | 1377 | 325 |
| 4 | 4834 | 325 |
| 0 | 8120 | 322 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
y |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(/.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))) (/.f64 y x)) 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))) (/.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))) |
(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 #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 #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 |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
(/.f64 y x) |
y |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 y x))) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 y x))) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 y x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 y x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
y |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
z |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(/.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))) (/.f64 y x)) z) |
(*.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 (*.f64 (fma.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)) |
#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 (*.f64 (fma.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 #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 #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 |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
x |
z |
(/.f64 y x) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 (cosh.f64 x) z) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (cosh.f64 x) | |
| accuracy | 8.909252107116087 | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) | |
| accuracy | 0.078125 | (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) | |
| accuracy | 2.9014396071160866 | (/.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))) (/.f64 y x)) z) | |
| accuracy | 4.1827607786420495 | #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))) | |
| accuracy | 5.980468750000001 | (*.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 y x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 2.9014396071160866 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) | |
| accuracy | 5.980468750000001 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) | |
| accuracy | 12.442180085759901 | #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 2.9014396071160866 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) | |
| accuracy | 29.82370666353702 | #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) | |
| accuracy | 0.9646903806250002 | (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 2.109125279154494 | (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) | |
| accuracy | 2.9014396071160866 | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) | |
| accuracy | 7.313581284538746 | #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
| 83.0ms | 256× | 0 | valid |
Compiled 234 to 31 computations (86.8% saved)
ival-mult: 17.0ms (44.5% of total)ival-div: 6.0ms (15.7% of total)ival-add: 6.0ms (15.7% of total)const: 6.0ms (15.7% of total)ival-cosh: 3.0ms (7.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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))) (/.f64 y x)) 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))) (/.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))) |
(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 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
(*.f64 x x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 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 (* 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 (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ 1 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)) |
(pow x 2) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 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 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* 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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | x | @ | inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | y | @ | -inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | y | @ | 0 | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 2.0ms | y | @ | inf | ((/ (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (* y (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1)) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (/ y x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (cosh x) (* x x) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 560 |
| 1 | 497 | 534 |
| 2 | 1981 | 510 |
| 3 | 6801 | 506 |
| 0 | 8618 | 468 |
| 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 (* 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 (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(/ 1 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)) |
(pow x 2) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/24 (* (pow x 4) y)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 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 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* 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)))))) |
| 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 (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) z) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x) |
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 |
#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 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 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) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(pow x 2) |
(*.f64 x 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)) |
(* 1/24 (* (pow x 3) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)))) |
(* (pow x 4) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/720 (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 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) z)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(*.f64 (*.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(*.f64 (fma.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (* 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 248 |
| 0 | 61 | 248 |
| 1 | 212 | 248 |
| 2 | 1373 | 248 |
| 0 | 8160 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #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))) (/.f64 y x)) 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))) (/.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))) |
(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 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
(*.f64 x x) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x)) (*.f64 (/.f64 y x) (/.f64 y x))) (-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) (/.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)) x) x) (/.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 y))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 y)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (neg.f64 x))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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)))) (*.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 1/13824 binary64))) (*.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)))) (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)))))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (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)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (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))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x))) x #s(literal 1/24 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x))) (neg.f64 x))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/720 binary64) x))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.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)))))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (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))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (/.f64 #s(literal 1/13824 binary64) (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)))))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x))) x)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal 1/720 binary64))) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
Compiled 17 323 to 2 754 computations (84.1% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 544 | 17 | 561 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 551 | 18 | 569 |
| Status | Accuracy | Program |
|---|---|---|
| 86.1% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 82.0% | (/.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)) | |
| 62.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 79.7% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 74.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| 29.6% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) | |
| 88.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ✓ | 50.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 73.9% | (*.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)))) | |
| 66.5% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| 71.0% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) z) (/.f64 y x)) | |
| 76.3% | (*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) | |
| ▶ | 79.3% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| ▶ | 77.8% | (*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
| 50.7% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) | |
| ▶ | 90.0% | #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)) y) z) x)) |
| ▶ | 83.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
| ▶ | 53.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
Compiled 728 to 511 computations (29.8% 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 | (/.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) | |
| cost-diff | 0 | #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.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 | #s(approx (/ (cosh x) 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)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 (/.f64 y z) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| 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)) y) z) | |
| 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)) y) z) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 383 |
| 0 | 63 | 383 |
| 1 | 122 | 383 |
| 2 | 350 | 383 |
| 3 | 1532 | 383 |
| 4 | 6755 | 383 |
| 0 | 8318 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.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 |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
#s(approx (/ (cosh x) 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)) |
(/.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 |
(/.f64 y x) |
y |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.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 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
y |
z |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z))) |
#s(approx (/ (cosh x) 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)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
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 | 0.7011093134247441 | (/.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) | |
| accuracy | 3.4947719719668493 | #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) | |
| accuracy | 8.909252107116087 | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) | |
| accuracy | 1.181178659943125 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) | |
| accuracy | 5.178045126418529 | #s(approx (/ (cosh x) 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)) | |
| accuracy | 8.909252107116087 | (*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) | |
| accuracy | 3.113770238364109 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) | |
| accuracy | 4.7150183158040315 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) | |
| accuracy | 9.66173784733219 | (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) | |
| accuracy | 20.789031982329575 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 4.798643497237119 | (/.f64 (/.f64 y z) x) | |
| accuracy | 28.58562384482648 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) | |
| accuracy | 0.9646903806250002 | (*.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 | 2.335548074043779 | (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) | |
| accuracy | 5.8660120815875745 | (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) | |
| accuracy | 9.703705753220508 | #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)) y) z) x)) |
| 106.0ms | 256× | 0 | valid |
Compiled 309 to 38 computations (87.7% saved)
ival-mult: 18.0ms (36.3% of total)ival-div: 16.0ms (32.3% of total)ival-add: 6.0ms (12.1% of total)const: 6.0ms (12.1% of total)ival-cosh: 3.0ms (6.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#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)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.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) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
#s(approx (/ (cosh x) 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)) |
(/.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)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 (fma.f64 #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 #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)) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
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))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 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 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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))))) |
(* 1/24 (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))))) |
(* 1/720 (/ (pow x 6) z)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(* 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)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) 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 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | z | @ | inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 10.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 6.0ms | z | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | z | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 5.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ (/ y z) x) (/ y z) (/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (/ (* (+ (* (* x x) 1/2) 1) y) z) (* (+ (* (* x x) 1/2) 1) y) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 942 |
| 1 | 708 | 880 |
| 2 | 2668 | 814 |
| 3 | 7863 | 814 |
| 0 | 8141 | 760 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
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))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 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 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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))))) |
(* 1/24 (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))))) |
(* 1/720 (/ (pow x 6) z)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(* 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)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) 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 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y x) z) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y)) x) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 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) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #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)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
1/24 |
#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 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z 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 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) z) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.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 (/ (* x y) z)) |
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) z) x) |
(* 1/2 (/ (* (pow x 2) y) z)) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(* 1/2 (* (pow x 2) y)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) z)) |
(* 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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) z) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 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)) |
(* 1/720 (/ (pow x 6) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) z) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) z) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(*.f64 (/.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))) z) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(fma.f64 (/.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))) z) (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 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)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y (*.f64 x x))) z) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) 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) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) y) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(/ (+ 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) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 304 |
| 0 | 63 | 304 |
| 1 | 218 | 304 |
| 2 | 1432 | 304 |
| 0 | 8138 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.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) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
#s(approx (/ (cosh x) 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)) |
(/.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)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 (fma.f64 #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 #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)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 y x) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) (/.f64 y x)) |
(*.f64 (/.f64 y z) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x)) |
(*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) (neg.f64 (neg.f64 y))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) z) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) (neg.f64 y)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) z) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) y) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) z) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))) (neg.f64 (neg.f64 y))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 z z)))) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))) (neg.f64 y)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 z z)))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))) y) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) (*.f64 z z)))) x)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) y) (*.f64 (neg.f64 (neg.f64 z)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (neg.f64 (neg.f64 y))) (*.f64 (*.f64 z z) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (neg.f64 y)) (*.f64 (*.f64 z z) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (neg.f64 y)) (*.f64 (neg.f64 z) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y))) (*.f64 z (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 y)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (neg.f64 y) z)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x)) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 y x)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 y z)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 y z)) (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) (*.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x))) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 y) z)) (*.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x))) (neg.f64 x))) |
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(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x))) (+.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)))) (+.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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)))))) (*.f64 (/.f64 #s(literal 1/13824 binary64) (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))))) (/.f64 #s(literal 1/13824 binary64) (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))))))) (-.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (/.f64 #s(literal 1/13824 binary64) (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))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x) (*.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x))))) |
(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (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 3 binary64)) (pow.f64 (/.f64 #s(literal 1/13824 binary64) (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 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (-.f64 (*.f64 (/.f64 #s(literal 1/13824 binary64) (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))))) (/.f64 #s(literal 1/13824 binary64) (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)))))) (*.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (/.f64 #s(literal 1/13824 binary64) (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))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (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))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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)))) (*.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 1/13824 binary64))) (*.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)))) (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)))))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (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)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (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))))) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x))) x #s(literal 1/24 binary64)) |
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) x #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal 1/24 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) |
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/720 binary64) x)) #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x)) |
(-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/720 binary64))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))) (/.f64 #s(literal 1/13824 binary64) (+.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)))))) |
(+.f64 (/.f64 #s(literal 1/13824 binary64) (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))))) (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) (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))))) (/.f64 #s(literal 1/13824 binary64) (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)))))) |
(+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
Compiled 34 933 to 3 693 computations (89.4% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 19 | 798 |
| Fresh | 4 | 8 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 786 | 30 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| 86.1% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 82.0% | (/.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)) | |
| 62.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| 74.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) | |
| ▶ | 29.6% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
| 88.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ✓ | 50.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 73.9% | (*.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)))) | |
| 66.5% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 79.3% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| 77.8% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| ▶ | 79.3% | (*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
| 66.0% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) | |
| 64.9% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) | |
| ▶ | 77.6% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| 54.2% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))) z)) (/.f64 y x)) | |
| 50.7% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| ▶ | 90.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
| 89.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) | |
| 42.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) | |
| ✓ | 53.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 80.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 60.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) | |
| 83.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) | |
| 47.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 4 binary64)))) x)) | |
| ▶ | 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 76.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) | |
| 79.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 71.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 26.3% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
Compiled 1 517 to 1 004 computations (33.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (/.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)) z) | |
| cost-diff | 0 | #s(approx (/ (cosh x) z) (/.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)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 y (*.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) | |
| cost-diff | 0 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 492 |
| 0 | 78 | 487 |
| 1 | 144 | 487 |
| 2 | 375 | 487 |
| 3 | 1389 | 487 |
| 4 | 5134 | 487 |
| 0 | 8085 | 477 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
z |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.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)) z)) |
(/.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)) z) |
(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)) |
(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)) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#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 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 y z) x) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) |
(*.f64 (/.f64 y x) #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
z |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.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)) z)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z)) |
(/.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)) z) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) z) |
(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)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(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)) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
#s(literal 1/720 binary64) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7011093134247441 | (/.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)) z) | |
| accuracy | 3.4947719719668493 | #s(approx (/ (cosh x) z) (/.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)) z)) | |
| accuracy | 8.909252107116087 | (*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) | |
| accuracy | 32.47218704219685 | #s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) | |
| accuracy | 1.181178659943125 | (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) | |
| accuracy | 5.178045126418529 | #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) | |
| accuracy | 8.909252107116087 | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| accuracy | 32.46808661877727 | #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) | |
| accuracy | 2.9014396071160866 | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) | |
| accuracy | 5.980468750000001 | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) | |
| accuracy | 12.442180085759901 | #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) | |
| accuracy | 32.44656088090582 | #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 z x) | |
| accuracy | 4.198011568296115 | (/.f64 y (*.f64 z x)) | |
| accuracy | 28.58562384482648 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) | |
| accuracy | 0.9646903806250002 | (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) | |
| accuracy | 2.335548074043779 | (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) | |
| accuracy | 5.8660120815875745 | (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) | |
| accuracy | 9.703705753220508 | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
| 111.0ms | 256× | 0 | valid |
Compiled 302 to 40 computations (86.8% saved)
ival-add: 40.0ms (44.4% of total)ival-mult: 29.0ms (32.2% of total)ival-div: 11.0ms (12.2% of total)const: 6.0ms (6.7% of total)ival-cosh: 3.0ms (3.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.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)) z)) |
(/.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)) z) |
(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)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
| Outputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(* x z) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
1 |
(+ 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 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)) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 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 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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))))) |
(* 1/24 (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))))) |
(* 1/720 (/ (pow x 6) z)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(* 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)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) 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)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 4.0ms | z | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 4.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | z | @ | inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 3.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (/ (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) x) (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) (/ (* (cosh x) (/ y x)) z) (/ y (* z x)) (* z x) (/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) (+ (* (* x x) 1/2) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (* (/ (cosh x) z) (/ y x)) (/ (cosh x) z) (/ (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) z) (+ (* (+ (* (+ (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (* x x)) 1) (+ (* 1/24 (* x x)) 1/2) (+ (* 1/720 (* x x)) 1/24)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 925 |
| 1 | 695 | 867 |
| 2 | 2636 | 803 |
| 3 | 7637 | 803 |
| 0 | 8008 | 749 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(* x z) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
1 |
(+ 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 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)) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 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 4) y) z)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 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 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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))))) |
(* 1/24 (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))))) |
(* 1/720 (/ (pow x 6) z)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(* 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)))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) 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)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 (/.f64 y z) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z)) x) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(* x z) |
(*.f64 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 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(/.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)) z) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 z x))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z) #s(literal 1/24 binary64)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 3 binary64))) |
(* 1/24 (/ (* (pow x 4) y) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) z) #s(literal 1/24 binary64)) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))) |
(* (pow x 4) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (* (pow x 4) y)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) y) |
(* (pow x 4) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(*.f64 (*.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 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) z)) |
(* 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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) z) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 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)) |
(* 1/720 (/ (pow x 6) z)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) z) #s(literal 1/720 binary64)) |
(* (pow x 6) (+ (* 1/720 (/ 1 z)) (* 1/24 (/ 1 (* (pow x 2) z))))) |
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) z) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (/ 1/2 (* (pow x 4) z)) (* 1/720 (/ 1 z))))) |
(*.f64 (/.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))) z) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ (/ 1/24 (* (pow x 2) z)) (+ (* 1/720 (/ 1 z)) (+ (* 1/2 (/ 1 (* (pow x 4) z))) (/ 1 (* (pow x 6) z)))))) |
(fma.f64 (/.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))) z) (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(* 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)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(*.f64 (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 3 binary64))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 y z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) z) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) y) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) z) |
(/.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)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 394 |
| 0 | 78 | 389 |
| 1 | 260 | 389 |
| 2 | 1552 | 389 |
| 0 | 8307 | 380 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) |
#s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) |
(/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z) |
(fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
#s(approx (/ (cosh x) z) (/.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)) z)) |
(/.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)) z) |
(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)) |
#s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 z)) (/.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (neg.f64 y) z)) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.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 2 binary64))) (-.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.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)))) |
(/.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (*.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))) |
(/.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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))))) |
(/.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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))))) |
(fma.f64 (*.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)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.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)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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)) x) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (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))) #s(literal 1 binary64)) |
(fma.f64 (*.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) #s(literal 1 binary64)) |
(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 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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)) |
(fma.f64 #s(literal 1 binary64) (*.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)) |
(fma.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (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)) #s(literal 1 binary64)) |
(fma.f64 x (*.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)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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)))) (/.f64 (pow.f64 (*.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 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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))))) |
(-.f64 (/.f64 (pow.f64 (*.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 2 binary64)) (-.f64 (*.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))) (pow.f64 (-.f64 (*.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)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.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)) x)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.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))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (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 (/.f64 (pow.f64 (*.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 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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))))) (/.f64 (pow.f64 (*.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 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.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)))))) |
(+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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)) (/.f64 (pow.f64 (*.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 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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)))))) |
(+.f64 (/.f64 (pow.f64 (*.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 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.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)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.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))) |
(+.f64 (*.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)) |
(+.f64 #s(literal 1 binary64) (*.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(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/720 (* x x)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
Compiled 22 598 to 1 943 computations (91.4% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 10 | 436 |
| Fresh | 9 | 13 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 436 | 30 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| 86.1% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) | |
| 89.4% | (/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) | |
| 82.0% | (/.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)) | |
| 62.9% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) | |
| ✓ | 29.6% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.f64 y x)) z) |
| 31.0% | (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) | |
| 88.4% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) | |
| ✓ | 50.8% | (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
| 73.9% | (*.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)))) | |
| 66.5% | (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| 30.2% | (*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) | |
| ✓ | 79.3% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| ✓ | 79.3% | (*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
| 66.0% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.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)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) | |
| 64.7% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) | |
| ✓ | 77.6% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| 54.0% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x))) z)) (/.f64 y x)) | |
| 50.7% | (*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) | |
| 42.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) | |
| ✓ | 53.8% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
| 80.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 60.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) | |
| 80.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) | |
| 83.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) | |
| 47.1% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 4 binary64)))) x)) | |
| ✓ | 52.7% | #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| 76.0% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) | |
| 79.9% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 71.3% | #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) | |
| 26.3% | #s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
Compiled 2 228 to 817 computations (63.3% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#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)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) 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 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.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 (*.f64 (fma.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 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 (*.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 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.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)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x))) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))) z)) (/.f64 y x)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (/ (* (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) y) z) (*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 #s(approx (/ (* (+ (* (+ (* (* 1/24 x) x) 1/2) (* x x)) 1) y) z) (*.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (/.f64 y (*.f64 (pow.f64 x #s(literal 4 binary64)) z))) (pow.f64 x #s(literal 4 binary64)))) x)) |
| Outputs |
|---|
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
5 calls:
| 37.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 31.0ms | y |
| 14.0ms | z |
| 13.0ms | x |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 95.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 97.4% | 2 | x |
| 93.9% | 2 | y |
| 90.0% | 1 | z |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#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)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) 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 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.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 (*.f64 (fma.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 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 (*.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 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.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)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x)) x))) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))) z)) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
3 calls:
| 32.0ms | x |
| 11.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 93.4% | 2 | x |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#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)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) 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 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.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 (*.f64 (fma.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 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 (*.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 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.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)) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) (*.f64 z z))) (/.f64 y x)) |
| Outputs |
|---|
(/.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))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
1 calls:
| 53.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#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)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) 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 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.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 (*.f64 (fma.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 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)))) |
| Outputs |
|---|
(*.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)))) |
#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)) y) z) x)) |
2 calls:
| 33.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 9.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#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)) y) z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) 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)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) 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 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) x)) z) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 x x) y) x)) z) |
(/.f64 (*.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 (*.f64 (fma.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)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x) x) z (*.f64 z #s(literal 1 binary64))) y) (*.f64 (*.f64 z z) x))) |
(*.f64 #s(approx (/ (cosh x) z) (/.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)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 9.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (/ (cosh x) z) (/.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1 binary64)) z)) y) x) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 y z) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 7.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
5 calls:
| 25.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 10.0ms | z |
| 6.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 3 | z |
| 89.9% | 2 | x |
| 86.1% | 2 | y |
| 88.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 #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 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 y x)) z) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x)) |
2 calls:
| 5.0ms | x |
| 5.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 85.8% | 2 | x |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x)) |
2 calls:
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 87.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
(*.f64 (/.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (/.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)) x) (/.f64 y z))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x)) |
5 calls:
| 32.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 1 | z |
| 85.7% | 2 | x |
| 78.6% | 2 | y |
| 83.3% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 83.3% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) |
5 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 1 | z |
| 74.0% | 1 | y |
| 76.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 76.3% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 74.0% | 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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
| Outputs |
|---|
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x)))) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 2.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 1 | y |
| 71.3% | 1 | z |
| 73.9% | 2 | x |
| 73.7% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 73.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
(/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 2 | x |
| 64.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) |
(*.f64 #s(approx (/ (cosh x) z) (/.f64 #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64)) z)) (/.f64 y x)) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(approx (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64)))) |
5 calls:
| 14.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 2.0ms | z |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 58.1% | 2 | y |
| 58.1% | 2 | z |
| 59.9% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 64.7% | 2 | x |
Compiled 17 to 22 computations (-29.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 1 | y |
| 52.7% | 1 | z |
| 52.7% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 52.7% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 52.7% | 1 | x |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.4124523950370436e+77 | 1.5428028621326494e+79 |
| 1.0ms | 16× | 0 | valid |
Compiled 52 to 44 computations (15.4% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.128966352413815e+270 | 8.832538252011671e+279 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.128966352413815e+270 | 8.832538252011671e+279 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.128966352413815e+270 | 8.832538252011671e+279 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 622032.0420985752 | 324692015969.61426 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.128966352413815e+270 | 8.832538252011671e+279 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 5.188028574471133e+153 | 1.074896169993523e+154 |
| 4.0ms | 80× | 0 | valid |
Compiled 291 to 218 computations (25.1% saved)
ival-div: 1.0ms (42.5% of total)ival-cosh: 1.0ms (42.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.188028574471133e+153 | 1.074896169993523e+154 |
Compiled 291 to 218 computations (25.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 622032.0420985752 | 324692015969.61426 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 622032.0420985752 | 324692015969.61426 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 2.0954257832755702e+65 | 6.697846994587706e+69 |
| 1.0ms | 16× | 0 | valid |
Compiled 56 to 48 computations (14.3% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-cosh: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.895629194010712e+47 | 2.316227739380693e+47 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.121167865406037e+269 | 4.2370503932167796e+273 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.0002474612857568187 | 1.8732050151928186 |
| 19.0ms | 128× | 0 | valid |
Compiled 299 to 245 computations (18.1% saved)
ival-cosh: 13.0ms (83.8% of total)ival-div: 2.0ms (12.9% of total)ival-mult: 1.0ms (6.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0002474612857568187 | 1.8732050151928186 |
Compiled 363 to 277 computations (23.7% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 797 |
| 1 | 178 | 797 |
| 2 | 298 | 797 |
| 3 | 674 | 797 |
| 4 | 2198 | 795 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 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))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (*.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)))) #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)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #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)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 x #s(literal 10599999999999999885531643791900211307092576711057932397910592991486264543700797279586754797166490856599950025900620656083038178675282789742495157958213632 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 x #s(literal 10599999999999999885531643791900211307092576711057932397910592991486264543700797279586754797166490856599950025900620656083038178675282789742495157958213632 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x))) |
(if (<=.f64 x #s(literal 399999999999999996836154505134535403291024486776921821462273196032 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000008769168609015239470926809530368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x))) |
(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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 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))) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (*.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)))) #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)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #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)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 4000000000000000187015275541824511956758421725321641147365459490976065757578223578441473032721213347756307552536179801157304672738649721325897253109667919265549557119458551742347990080953409244090640313174914685540771733044249213739010552107125510194967871538557133783040 binary64)) (*.f64 (/.f64 (/.f64 y x) z) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/24 (* x x)) 1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 x #s(literal 10599999999999999885531643791900211307092576711057932397910592991486264543700797279586754797166490856599950025900620656083038178675282789742495157958213632 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 x #s(literal 10599999999999999885531643791900211307092576711057932397910592991486264543700797279586754797166490856599950025900620656083038178675282789742495157958213632 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 z x)))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) z) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 1000000 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) z)) x))) |
(if (<=.f64 x #s(literal 399999999999999996836154505134535403291024486776921821462273196032 binary64)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 #s(approx (* (+ (* (* x x) 1/2) 1) y) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) z) x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 200000000000000008769168609015239470926809530368 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) y) (*.f64 z x))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) (/.f64 #s(approx (* (cosh x) (/ y x)) (/.f64 y x)) z) #s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 y (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 z x))))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) (/.f64 (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) 1/2) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) y) (*.f64 z x))) |
(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 (/ (/ (* (+ (* (* x x) 1/2) 1) y) z) x) (*.f64 (*.f64 (/.f64 y z) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 y (*.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 394 |
| 0 | 78 | 389 |
| 1 | 260 | 389 |
| 2 | 1552 | 389 |
| 0 | 8307 | 380 |
| 0 | 194 | 942 |
| 1 | 708 | 880 |
| 2 | 2668 | 814 |
| 3 | 7863 | 814 |
| 0 | 8141 | 760 |
| 0 | 70 | 214 |
| 1 | 255 | 200 |
| 2 | 1005 | 196 |
| 3 | 4431 | 194 |
| 0 | 8167 | 176 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 28 | 19 |
| 2 | 122 | 19 |
| 3 | 875 | 19 |
| 0 | 8292 | 19 |
| 0 | 37 | 304 |
| 0 | 63 | 304 |
| 1 | 218 | 304 |
| 2 | 1432 | 304 |
| 0 | 8138 | 304 |
| 0 | 34 | 248 |
| 0 | 61 | 248 |
| 1 | 212 | 248 |
| 2 | 1373 | 248 |
| 0 | 8160 | 248 |
| 0 | 139 | 560 |
| 1 | 497 | 534 |
| 2 | 1981 | 510 |
| 3 | 6801 | 506 |
| 0 | 8618 | 468 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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 |
Compiled 797 to 142 computations (82.2% saved)
(negabs y)
(negabs z)
Compiled 2 034 to 562 computations (72.4% saved)
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