
Time bar (total: 2.7s)
| 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)
| 638.0ms | 8 256× | 0 | valid |
ival-cosh: 140.0ms (41.8% of total)ival-div: 132.0ms (39.4% of total)ival-mult: 59.0ms (17.6% of total)adjust: 3.0ms (0.9% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 7 | 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 | 23 | 0 |
| ↳ | (cosh.f64 x) | overflow | 130 | |
| ↳ | (/.f64 y x) | underflow | 23 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 7 | 0 |
| ↳ | (cosh.f64 x) | overflow | 130 | |
| ↳ | (/.f64 y x) | overflow | 27 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 157 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 48.0ms | 512× | 0 | valid |
Compiled 56 to 25 computations (55.4% saved)
ival-div: 8.0ms (42.2% of total)ival-cosh: 7.0ms (36.9% of total)ival-mult: 3.0ms (15.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 86 |
| 1 | 94 | 83 |
| 2 | 294 | 83 |
| 3 | 911 | 83 |
| 4 | 4982 | 83 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 51 | 8 |
| 3 | 151 | 8 |
| 4 | 786 | 8 |
| 5 | 5523 | 8 |
| 0 | 8109 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (/.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) x) #s(literal 1 binary64))) |
(negabs x)
(negabs y)
(negabs z)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.4% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 5.0ms | x | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 3.0ms | x | @ | inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 3.0ms | y | @ | -inf | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
| 3.0ms | y | @ | 0 | ((/ (* (cosh x) (/ y x)) z) (* (cosh x) (/ y x)) (cosh x) x (/ y x) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 350 |
| 0 | 100 | 347 |
| 1 | 544 | 327 |
| 0 | 5082 | 309 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ y x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* 1/2 (* (pow x 2) y))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (cosh x) (/ y x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (*.f64 (neg.f64 z) x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) x))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) z)) |
(neg.f64 (/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (neg.f64 z))) |
(*.f64 (/.f64 y x) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) y) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
x |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
y |
z |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (/.f64 y z) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y z) x))) |
#s(approx (/ (* (cosh x) (/ y x)) z) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) x) x (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y z) x))) |
#s(approx (* (cosh x) (/ y x)) (/.f64 y x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y) x)) |
#s(approx (* (cosh x) (/ y x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y) x)) |
#s(approx (* (cosh x) (/ y x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/24 binary64) y)) x) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x x) x) (/.f64 y x))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (/ (* (cosh x) (/ y x)) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z))) |
#s(approx (* (cosh x) (/ y x)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) #s(literal 1/2 binary64))) |
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) |
#s(approx y y) |
#s(approx z z) |
Compiled 907 to 235 computations (74.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 4 | 65 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 62 | 4 | 66 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.9% | (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
| ▶ | 83.7% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
| ▶ | 86.1% | (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
| ▶ | 88.3% | (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
Compiled 40 to 34 computations (15% saved)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(/.f64 y x) |
y |
x |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
z |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) |
| Outputs |
|---|
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (cosh x) z) #s(hole binary64 (/ 1 z))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* 2 y))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) y)))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* 1/12 (* (pow x 2) y))))))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* (pow x 2) (+ (* 1/360 (* (pow x 2) y)) (* 1/12 y)))))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 2)) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (* 2 (* z x)) #s(hole binary64 (* 2 (* x z)))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (* 2 (/ y (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ 2 (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* 2 (/ 1 z)) (/ (pow x 2) z)) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) z)) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) z)) (* 1/12 (/ 1 z)))) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (pow x 2)) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* y (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx z #s(hole binary64 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x)) |
| 7.0ms | x | @ | 0 | ((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x)) |
| 6.0ms | y | @ | inf | ((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x)) |
| 5.0ms | x | @ | -inf | ((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x)) |
| 4.0ms | z | @ | -inf | ((* (/ y x) (/ (cosh x) z)) (/ y x) y x (/ (cosh x) z) (cosh x) z (* (/ (/ y z) x) (cosh x)) (/ (/ y z) x) (/ y z) (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) (* (* 2 (cosh x)) y) (* 2 (cosh x)) 2 (* 2 (* z x)) (* z x) (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) (* (/ (/ (* 2 (cosh x)) x) z) y) (/ (/ (* 2 (cosh x)) x) z) (/ (* 2 (cosh x)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1459 |
| 0 | 255 | 1362 |
| 1 | 1242 | 1318 |
| 0 | 8110 | 1252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(/.f64 y x) |
y |
x |
(/.f64 (cosh.f64 x) z) |
(cosh.f64 x) |
z |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (/.f64 y z) x) |
(/.f64 y z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (*.f64 z x)) |
(*.f64 z x) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (cosh x) z) #s(hole binary64 (/ 1 z))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ y (* x z)))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (/ (/ y z) x) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* 2 y))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) y)))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* 1/12 (* (pow x 2) y))))))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (+ (* 2 y) (* (pow x 2) (+ y (* (pow x 2) (+ (* 1/360 (* (pow x 2) y)) (* 1/12 y)))))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 2)) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (pow x 2)))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))) |
#s(approx (* 2 (* z x)) #s(hole binary64 (* 2 (* x z)))) |
#s(approx (* z x) #s(hole binary64 (* x z))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (* 2 (/ y (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ 2 (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* 2 (/ 1 z)) (/ (pow x 2) z)) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/12 (/ (pow x 2) z)) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (pow x 2) z)) (* 1/12 (/ 1 z)))) (/ 1 z))) (* 2 (/ 1 z))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ 2 x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (pow x 2)) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))) x))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (cosh x) z) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) z)))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (* (/ (/ y z) x) (cosh x)) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (/ (* (* 2 (cosh x)) y) (* 2 (* z x))) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (* 2 (cosh x)) y) #s(hole binary64 (* y (+ (exp x) (/ 1 (exp x)))))) |
#s(approx (* 2 (cosh x)) #s(hole binary64 (+ (exp x) (/ 1 (exp x))))) |
#s(approx (/ (* (/ (/ (* 2 (cosh x)) x) z) y) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) (* x z)))) |
#s(approx (/ (* 2 (cosh x)) x) #s(hole binary64 (/ (+ (exp x) (/ 1 (exp x))) x))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx z #s(hole binary64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(/.f64 (neg.f64 (*.f64 y (/.f64 (cosh.f64 x) z))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (cosh.f64 x))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y (cosh.f64 x))) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (neg.f64 y)) (*.f64 (neg.f64 z) (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) y) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 y)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) x) |
(/.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x)) |
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
(neg.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 (/.f64 y (neg.f64 x))) |
y |
x |
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (neg.f64 z)) |
(/.f64 (cosh.f64 x) z) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) z)) |
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 z))) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
z |
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 (cosh.f64 x) y) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z x)) (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) (/.f64 (neg.f64 y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
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(fma.f64 z x (*.f64 z x)) |
(fma.f64 x z (*.f64 z x)) |
(-.f64 (*.f64 z x) (*.f64 (neg.f64 x) z)) |
(+.f64 (*.f64 z x) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 x z) |
(*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 (cosh.f64 x) y) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -2 binary64)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 z x)) (/.f64 (*.f64 (cosh.f64 x) y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) (/.f64 (neg.f64 y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(*.f64 (/.f64 (/.f64 y x) z) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y z) (cosh.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 z x)))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) x) y) (*.f64 (neg.f64 z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) y) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -1 binary64))))) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 y) z) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 y z) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 y) z)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y z)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 z x)) |
(/.f64 (*.f64 (/.f64 y z) (cosh.f64 x)) x) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) y) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 #s(literal -2 binary64) (*.f64 z x))) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 (*.f64 z x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal -2 binary64) (*.f64 z x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) y) (*.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) y) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 y (exp.f64 x)) (*.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 x) y) x)) |
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) (/.f64 y z)) |
(*.f64 (/.f64 y z) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 y x) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z)) |
(*.f64 y (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) x)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y))) (neg.f64 (*.f64 (neg.f64 x) z))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) x) z) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) y) z) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 z x)) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) y) (*.f64 z x))) |
(+.f64 (/.f64 (*.f64 y (exp.f64 x)) (*.f64 z x)) (/.f64 (*.f64 y (pow.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 z x))) |
(*.f64 (/.f64 (cosh.f64 x) x) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z)) (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)))) (-.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z)) (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z))) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (neg.f64 x) z))) |
(/.f64 (fma.f64 (exp.f64 x) (*.f64 z x) (*.f64 (*.f64 z x) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 (*.f64 z x) (*.f64 z x))) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) x) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 z x)) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) x) z)) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 z x))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) (neg.f64 z))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) z))) |
(+.f64 (/.f64 (/.f64 (exp.f64 x) x) z) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x) z)) |
(+.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) (/.f64 (cosh.f64 x) (*.f64 z x))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z))) |
(+.f64 (/.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) z)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 z x))) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x))) (-.f64 (/.f64 (exp.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 (exp.f64 x) x (*.f64 x (pow.f64 (exp.f64 x) #s(literal -1 binary64)))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) x)) |
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (cosh.f64 x) x)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x) (/.f64 (exp.f64 x) x)) |
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) x)) |
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (/.f64 y x) z)) |
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x)) |
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (* (/ y x) (/ (cosh x) z)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx x x) |
#s(approx (/ (cosh x) z) (pow.f64 z #s(literal -1 binary64))) |
#s(approx (/ (cosh x) z) (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (/ (cosh x) z) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/24 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (/ (cosh x) z) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/720 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (/.f64 y x) z)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (/ (/ y z) x) (/.f64 (/.f64 y x) z)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (/.f64 y x) z)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (* (* 2 (cosh x)) y) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (* (* 2 (cosh x)) y) (fma.f64 (*.f64 x x) y (*.f64 #s(literal 2 binary64) y))) |
#s(approx (* (* 2 (cosh x)) y) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) y) y) (*.f64 x x) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (* (* 2 (cosh x)) y) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/12 binary64) y)) (*.f64 x x) y) (*.f64 x x) (*.f64 #s(literal 2 binary64) y))) |
#s(approx (* 2 (cosh x)) #s(literal 2 binary64)) |
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) |
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* 2 (cosh x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* 2 (* z x)) (*.f64 (*.f64 z x) #s(literal 2 binary64))) |
#s(approx (* z x) (*.f64 z x)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (/.f64 y x) z)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x)) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 #s(literal 1/24 binary64) (/.f64 y z))) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (*.f64 x x)) (neg.f64 x) (*.f64 x (/.f64 (neg.f64 y) z))) (*.f64 (neg.f64 x) x))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (/.f64 (fma.f64 (*.f64 x x) y (*.f64 #s(literal 2 binary64) y)) z) x)) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) y) y) z) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 2 binary64))) x)) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/12 binary64) y)) z) (*.f64 x x) (/.f64 y z)) (*.f64 x x) (*.f64 (/.f64 y z) #s(literal 2 binary64))) x)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 #s(literal 2 binary64) (*.f64 z x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) z) x)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) z) (*.f64 x x)) x (*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x))) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) z) (*.f64 x x))) (*.f64 x x)) x (*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x))) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 x x #s(literal 2 binary64)) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) |
#s(approx (* (/ y x) (/ (cosh x) z)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64))) |
#s(approx (/ (cosh x) z) (*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) z) #s(literal 1/2 binary64))) |
#s(approx (cosh x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 2 (cosh x)) y) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y)) |
#s(approx (* 2 (cosh x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
#s(approx (* (/ (/ y z) x) (cosh x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ (/ (* 2 (cosh x)) x) z) y) (*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z) y)) |
#s(approx (/ (/ (* 2 (cosh x)) x) z) (/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x) z)) |
#s(approx (/ (* 2 (cosh x)) x) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) x)) |
#s(approx y y) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx z z) |
Compiled 6 316 to 1 150 computations (81.8% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 1 | 357 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 356 | 5 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.9% | (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
| ▶ | 96.2% | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
| ✓ | 83.7% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
| ✓ | 86.1% | (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
| ✓ | 88.3% | (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
Compiled 52 to 44 computations (15.4% saved)
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(*.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
y |
z |
| Outputs |
|---|
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (* 2 (/ y (* x z))))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)))) |
#s(approx (* (cosh x) y) #s(hole binary64 y)) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)))) |
#s(approx (* (cosh x) y) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z) |
| 2.0ms | x | @ | -inf | ((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z) |
| 2.0ms | z | @ | -inf | ((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z) |
| 2.0ms | x | @ | inf | ((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z) |
| 2.0ms | y | @ | inf | ((/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (* (/ 2 x) (/ (* (cosh x) y) z)) (/ 2 x) 2 x (/ (* (cosh x) y) z) (* (cosh x) y) (cosh x) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 639 |
| 0 | 135 | 634 |
| 1 | 707 | 592 |
| 0 | 6750 | 562 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(*.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
y |
z |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ y (* x z)))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (* 2 (/ y (* x z))))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (/ (* (pow x 2) y) z)) x))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* 1/12 (/ (* (pow x 2) y) z)) (/ y z)))) x))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (+ (* 2 (/ y z)) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/360 (/ (* (pow x 2) y) z)) (* 1/12 (/ y z)))) (/ y z)))) x))) |
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (/ y z))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)))) |
#s(approx (* (cosh x) y) #s(hole binary64 y)) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* 1/2 (* (pow x 2) y))))) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))))) |
#s(approx (* (cosh x) y) #s(hole binary64 (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))))) |
#s(approx (cosh x) #s(hole binary64 1)) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))))) |
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) #s(hole binary64 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))) |
#s(approx (/ (* (cosh x) y) z) #s(hole binary64 (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) z)))) |
#s(approx (* (cosh x) y) #s(hole binary64 (* 1/2 (* y (+ (exp x) (/ 1 (exp x))))))) |
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx z #s(hole binary64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal 2 binary64))) x) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cosh.f64 x) y) z)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (*.f64 z #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (neg.f64 z)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 (*.f64 z x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (neg.f64 z)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cosh.f64 x)) (/.f64 y z)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (*.f64 (cosh.f64 x) y) x)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) x) y) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) (/.f64 y x)) |
(*.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (/.f64 y x) z)) |
(*.f64 (/.f64 y z) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) |
(*.f64 y (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 z x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (/.f64 #s(literal 2 binary64) x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) z) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) #s(literal -2 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) (cosh.f64 x))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (neg.f64 (*.f64 (neg.f64 x) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cosh.f64 x) y) z)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 (neg.f64 z) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal -2 binary64)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) (cosh.f64 x))) (*.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) y)) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (cosh.f64 x))) (*.f64 (neg.f64 x) z)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) z) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 x) z)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 z x)) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) x) (neg.f64 z))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) y) (*.f64 z x)) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) y) (*.f64 z x))) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 2 binary64) |
x |
(*.f64 (/.f64 y z) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (/.f64 y z)) |
(*.f64 y (/.f64 (cosh.f64 x) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (cosh.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (*.f64 (cosh.f64 x) y) z) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (cosh.f64 x)) z)) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 z))) |
(*.f64 (cosh.f64 x) y) |
(*.f64 y (cosh.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
y |
z |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (/.f64 (/.f64 y x) z)) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z)) x)) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y x) z))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z)) x) x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 y x) z))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (/.f64 (fma.f64 (/.f64 y z) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x x) y) z)) x)) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 y z)) (/.f64 (*.f64 x x) x) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (/.f64 (*.f64 (*.f64 x x) y) z) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (/.f64 y z))) (/.f64 (*.f64 x x) x) (*.f64 (/.f64 (/.f64 y x) z) #s(literal 2 binary64)))) |
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x)) |
#s(approx x x) |
#s(approx (/ (* (cosh x) y) z) (/.f64 y z)) |
#s(approx (/ (* (cosh x) y) z) (fma.f64 (/.f64 (*.f64 (*.f64 x x) y) z) #s(literal 1/2 binary64) (/.f64 y z))) |
#s(approx (/ (* (cosh x) y) z) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64))) x) x (/.f64 y z))) |
#s(approx (/ (* (cosh x) y) z) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 x x) y) z)) x) x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 x x) y) z) (*.f64 (/.f64 y z) #s(literal 1/2 binary64)))) (*.f64 x x) (/.f64 y z))) |
#s(approx (* (cosh x) y) y) |
#s(approx (* (cosh x) y) (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/2 binary64) y)) |
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) y)) |
#s(approx (* (cosh x) y) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) y)) x) x (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 x x) y)) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (* (/ 2 x) (/ (* (cosh x) y) z)) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z))) |
#s(approx (* (/ 2 x) (/ (* (cosh x) y) z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) (/.f64 y z))) |
#s(approx (/ (* (cosh x) y) z) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) z) y) #s(literal 1/2 binary64))) |
#s(approx (* (cosh x) y) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) #s(literal 1/2 binary64))) |
#s(approx (cosh x) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))) |
#s(approx y y) |
#s(approx z z) |
Compiled 1 934 to 430 computations (77.8% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 0 | 113 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 113 | 5 | 118 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 95.9% | (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
| ✓ | 96.2% | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
| ✓ | 83.7% | (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
| ✓ | 86.1% | (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
| ✓ | 88.3% | (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
Compiled 112 to 71 computations (36.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64)) |
5 calls:
| 9.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 98.4% | 2 | x |
| 96.2% | 1 | y |
| 99.9% | 2 | z |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64)) |
2 calls:
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 99.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x))) |
5 calls:
| 7.0ms | z |
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 3.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 3 | y |
| 88.4% | 1 | x |
| 95.3% | 3 | z |
| 95.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 95.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 17 to 22 computations (-29.4% saved)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
3 calls:
| 2.0ms | z |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | z |
| 91.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 91.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 15 to 16 computations (-6.7% saved)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
1 calls:
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | z |
Compiled 1 to 3 computations (-200% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
| Outputs |
|---|
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
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 |
|---|---|---|
| 88.3% | 1 | x |
| 88.3% | 1 | y |
| 88.3% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.3% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 88.3% | 1 | z |
Compiled 17 to 22 computations (-29.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2233731402564198e+160 | 3.8093227359868255e+165 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.533810706344402e+264 | 2.2113077661954775e+275 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 2067165730.477986 | 67640633480.08763 |
| 3.0ms | 48× | 0 | valid |
Compiled 59 to 61 computations (-3.4% saved)
ival-div: 1.0ms (61.8% of total)ival-cosh: 1.0ms (61.8% 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 |
|---|---|---|
| 11.0ms | 2067165730.477986 | 67640633480.08763 |
| 8.0ms | 64× | 0 | valid |
Compiled 123 to 125 computations (-1.6% saved)
ival-div: 1.0ms (46.4% of total)ival-cosh: 1.0ms (46.4% 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)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 139 |
| 1 | 44 | 139 |
| 2 | 47 | 139 |
| 3 | 53 | 139 |
| 4 | 85 | 139 |
| 5 | 407 | 139 |
| 6 | 3469 | 139 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))) |
(if (<=.f64 z #s(literal 10000000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)) |
(if (<=.f64 z #s(literal 12200000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 20000000000000000130568154901364531136913284297772534236897689091041023555676362285020675019977734071632684940374351570387500235297087060712369097300876562792448 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) x) z) y) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 2000000000000000088281037805790575558572782794765162549126012346566888792166047218548967335383701664797639397755095222062794225936857411749371199466668068384943561307143740090430395479270498413381628926367543716105666065019831099205147950020333146087680957122347008 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 (cosh.f64 x) y) z)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal +inf.0 binary64)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) y) (*.f64 #s(literal 2 binary64) (*.f64 z x)))) |
(if (<=.f64 z #s(literal 10000000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)) |
(if (<=.f64 z #s(literal 12200000000 binary64)) (*.f64 (/.f64 (/.f64 y z) x) (cosh.f64 x)) (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z))) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
| 1× | done |
Compiled 139 to 42 computations (69.8% saved)
(negabs z)
Compiled 584 to 258 computations (55.8% saved)
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