
Time bar (total: 7.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 21 to 14 computations (33.3% saved)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 323.0ms (38.4% of total)ival-mult: 220.0ms (26.2% of total)ival-add: 162.0ms (19.3% of total)ival-div: 62.0ms (7.4% of total)ival-sqrt: 56.0ms (6.7% of total)ival-true: 7.0ms (0.8% of total)exact: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | a1 |
| 0 | 0 | - | 0 | - | (*.f64 a1 a1) |
| 0 | 0 | - | 0 | - | (sqrt.f64 #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | th |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 0 | 0 | - | 0 | - | (*.f64 a2 a2) |
| 0 | 0 | - | 0 | - | (cos.f64 th) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) |
| 0 | 0 | - | 0 | - | a2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 103.0ms | 512× | 0 | valid |
Compiled 191 to 52 computations (72.8% saved)
ival-mult: 31.0ms (60% of total)ival-cos: 11.0ms (21.3% of total)ival-sqrt: 4.0ms (7.7% of total)ival-div: 3.0ms (5.8% of total)ival-add: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 120 |
| 1 | 130 | 120 |
| 2 | 375 | 120 |
| 3 | 1021 | 120 |
| 4 | 2482 | 120 |
| 5 | 4852 | 120 |
| 6 | 5751 | 120 |
| 7 | 6539 | 120 |
| 8 | 6612 | 120 |
| 9 | 6628 | 120 |
| 10 | 6799 | 120 |
| 11 | 6917 | 120 |
| 12 | 6929 | 120 |
| 13 | 6929 | 120 |
| 14 | 6929 | 120 |
| 0 | 12 | 19 |
| 0 | 20 | 13 |
| 1 | 33 | 13 |
| 2 | 58 | 13 |
| 3 | 88 | 13 |
| 4 | 100 | 13 |
| 0 | 100 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(abs th)
(abs a2)
(abs a1)
(sort a1 a2)
Compiled 19 to 12 computations (36.8% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 th) | |
| cost-diff | 0 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) | |
| cost-diff | 7 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 56 |
| 0 | 20 | 50 |
| 1 | 33 | 50 |
| 2 | 58 | 50 |
| 3 | 88 | 50 |
| 4 | 100 | 50 |
| 0 | 100 | 49 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos.f64 th) |
th |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 a1 a1) |
a1 |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
(*.f64 a2 a2) |
a2 |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th))) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos.f64 th) |
th |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 a1 a1) |
a1 |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th))) |
(*.f64 a2 a2) |
a2 |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 th) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) | |
| accuracy | 0.21875 | (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) | |
| accuracy | 0.70703125 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 66.0ms | 256× | 0 | valid |
Compiled 114 to 26 computations (77.2% saved)
ival-mult: 40.0ms (78.7% of total)ival-cos: 6.0ms (11.8% of total)ival-div: 2.0ms (3.9% of total)ival-sqrt: 2.0ms (3.9% of total)ival-add: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos.f64 th) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(/ (pow a1 2) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2))) |
(/ 1 (sqrt 2)) |
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
1 |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(/ (pow a2 2) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
(/ (cos th) (sqrt 2)) |
(cos th) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | th | @ | inf | ((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2))) |
| 3.0ms | th | @ | -inf | ((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2))) |
| 2.0ms | a1 | @ | 0 | ((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2))) |
| 2.0ms | th | @ | 0 | ((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2))) |
| 1.0ms | a2 | @ | 0 | ((+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (sqrt 2)) (cos th) (* (/ (cos th) (sqrt 2)) (* a2 a2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 576 |
| 1 | 343 | 562 |
| 2 | 1210 | 458 |
| 3 | 3908 | 429 |
| 0 | 8416 | 391 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(/ (pow a1 2) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2))) |
(/ 1 (sqrt 2)) |
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
1 |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(/ (pow a2 2) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
(/ (cos th) (sqrt 2)) |
(cos th) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(/ (pow a1 2) (sqrt 2)) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2))) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a1 a1)) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2))) |
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2))) |
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th))) |
(/ 1 (sqrt 2)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) th) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(fma.f64 (fma.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow th 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(/ (pow a2 2) (sqrt 2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) th) th #s(literal 1 binary64))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th))) |
(/ (cos th) (sqrt 2)) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos th) |
(cos.f64 th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 0 | 20 | 38 |
| 1 | 58 | 38 |
| 2 | 411 | 38 |
| 3 | 7359 | 38 |
| 0 | 8465 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos.f64 th) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (-.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (fma.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (cos.f64 th))) a1 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (cos.f64 th)) a2)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 a2 a2)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) |
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) |
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 4 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -2 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (-.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) |
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(/.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) |
(/.f64 (*.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)))) |
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))) |
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) |
(neg.f64 (*.f64 (neg.f64 a2) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))) |
Compiled 11 519 to 1 067 computations (90.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 383 | 12 | 395 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 384 | 12 | 396 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 99.6% | (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) | |
| 99.6% | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 99.6% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
| 99.6% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) | |
| 99.6% | (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) | |
| ▶ | 63.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
| 56.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) | |
| ▶ | 99.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) |
| 67.4% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) | |
| ▶ | 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 570 to 380 computations (33.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 a1 a2) | |
| cost-diff | 0 | (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 6 | (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 a1 a1) | |
| cost-diff | 0 | (fma.f64 a2 a2 (*.f64 a1 a1)) | |
| cost-diff | 0 | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (cos.f64 th) | |
| cost-diff | 0 | (*.f64 (cos.f64 th) a2) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) | |
| cost-diff | 3 | (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) | |
| cost-diff | 0 | (*.f64 a1 a1) | |
| cost-diff | 0 | (fma.f64 a2 a2 (*.f64 a1 a1)) | |
| cost-diff | 0 | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 281 |
| 0 | 51 | 254 |
| 1 | 87 | 254 |
| 2 | 149 | 254 |
| 3 | 354 | 254 |
| 4 | 858 | 254 |
| 5 | 2191 | 242 |
| 6 | 3081 | 242 |
| 7 | 3330 | 242 |
| 8 | 3432 | 242 |
| 9 | 3458 | 242 |
| 10 | 3458 | 242 |
| 11 | 3902 | 242 |
| 12 | 4229 | 242 |
| 13 | 4281 | 242 |
| 14 | 4281 | 242 |
| 15 | 4329 | 242 |
| 16 | 6140 | 242 |
| 0 | 8050 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
a2 |
(*.f64 a1 a1) |
a1 |
(cos.f64 th) |
th |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
a1 |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
th |
a2 |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
a2 |
(*.f64 a1 a1) |
a1 |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos.f64 th) |
th |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) |
(/.f64 a1 a2) |
a1 |
a2 |
#s(literal 1 binary64) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
th |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
a2 |
(*.f64 a1 a1) |
a1 |
(cos.f64 th) |
th |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
a1 |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
th |
a2 |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
a2 |
(*.f64 a1 a1) |
a1 |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(cos.f64 th) |
th |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) |
(/.f64 a1 a2) |
a1 |
a2 |
#s(literal 1 binary64) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
th |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (cos.f64 th) | |
| accuracy | 0.140625 | (*.f64 (cos.f64 th) a2) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.45703125 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 th) | |
| accuracy | 0.2109375 | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.70703125 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.140625 | (*.f64 (cos.f64 th) a2) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.32220282795391464 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.45703125 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) | |
| accuracy | 0.40234375 | (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.45703125 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 23.531707441863208 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 th) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) | |
| accuracy | 0.189785009768442 | (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
| 90.0ms | 256× | 0 | valid |
Compiled 530 to 64 computations (87.9% saved)
ival-mult: 22.0ms (53.2% of total)ival-div: 7.0ms (16.9% of total)ival-cos: 6.0ms (14.5% of total)ival-add: 4.0ms (9.7% of total)ival-sqrt: 2.0ms (4.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(*.f64 a1 a1) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) |
(/.f64 a1 a2) |
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(* (pow a2 2) (cos th)) |
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) |
(pow a2 2) |
(+ (pow a1 2) (pow a2 2)) |
(pow a1 2) |
(/ (pow a2 2) (sqrt 2)) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
1 |
(+ 1 (/ (pow a1 2) (pow a2 2))) |
(/ a1 a2) |
(/ a1 (sqrt 2)) |
(/ (pow a1 2) (sqrt 2)) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(* (pow a1 2) (cos th)) |
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))) |
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(/ (pow a1 2) (pow a2 2)) |
(* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) |
(/ a2 (sqrt 2)) |
(* a2 (cos th)) |
(/ (+ (pow a1 2) (pow a2 2)) (pow a2 2)) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) |
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(/ 1 (sqrt 2)) |
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(* (cos th) (+ (pow a1 2) (pow a2 2))) |
(cos th) |
(/ (cos th) (sqrt 2)) |
(/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | th | @ | 0 | ((/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (* (* (cos th) a2) (/ a2 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1)) |
| 7.0ms | th | @ | inf | ((/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (* (* (cos th) a2) (/ a2 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1)) |
| 6.0ms | a2 | @ | inf | ((/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (* (* (cos th) a2) (/ a2 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1)) |
| 6.0ms | th | @ | -inf | ((/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (* (* (cos th) a2) (/ a2 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1)) |
| 4.0ms | a1 | @ | inf | ((/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ a2 (sqrt 2)) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2)) (* (+ (* (/ a1 a2) (/ a1 a2)) 1) (* (* (cos th) a2) (/ a2 (sqrt 2)))) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a1 a2) (/ a1 a2)) 1) (/ a1 a2) (/ a1 (sqrt 2)) (* (/ a1 (sqrt 2)) a1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1113 |
| 1 | 651 | 1059 |
| 2 | 2331 | 941 |
| 3 | 5759 | 853 |
| 4 | 7696 | 853 |
| 0 | 8455 | 766 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(* (pow a2 2) (cos th)) |
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) |
(pow a2 2) |
(+ (pow a1 2) (pow a2 2)) |
(pow a1 2) |
(/ (pow a2 2) (sqrt 2)) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
1 |
(+ 1 (/ (pow a1 2) (pow a2 2))) |
(/ a1 a2) |
(/ a1 (sqrt 2)) |
(/ (pow a1 2) (sqrt 2)) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(* (pow a1 2) (cos th)) |
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))) |
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(/ (pow a1 2) (pow a2 2)) |
(* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) |
(/ a2 (sqrt 2)) |
(* a2 (cos th)) |
(/ (+ (pow a1 2) (pow a2 2)) (pow a2 2)) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) |
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(/ 1 (sqrt 2)) |
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(* (cos th) (+ (pow a1 2) (pow a2 2))) |
(cos th) |
(/ (cos th) (sqrt 2)) |
(/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2)) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a2 2) (cos th)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(pow a2 2) |
(*.f64 a2 a2) |
(+ (pow a1 2) (pow a2 2)) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(pow a1 2) |
(*.f64 a1 a1) |
(/ (pow a2 2) (sqrt 2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (pow a1 2) (pow a2 2))) |
(fma.f64 (/.f64 (/.f64 a1 a2) a2) a1 #s(literal 1 binary64)) |
(/ a1 a2) |
(/.f64 a1 a2) |
(/ a1 (sqrt 2)) |
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
(/ (pow a1 2) (sqrt 2)) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a1 2) (cos th)) |
(*.f64 (*.f64 (cos.f64 th) a1) a1) |
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(/ (pow a1 2) (pow a2 2)) |
(*.f64 (/.f64 (/.f64 a1 a2) a2) a1) |
(* (pow a1 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2)))) |
(fma.f64 (/.f64 (/.f64 a1 a2) a2) a1 #s(literal 1 binary64)) |
(/ a2 (sqrt 2)) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(* a2 (cos th)) |
(*.f64 (cos.f64 th) a2) |
(/ (+ (pow a1 2) (pow a2 2)) (pow a2 2)) |
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) a2) a2) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2))) |
(fma.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a2 a2) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2)) |
(+ 1 (* -1/2 (pow th 2))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(/ 1 (sqrt 2)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2))) |
(fma.f64 (fma.f64 (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (*.f64 th (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2)) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (* (pow th 2) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))))))) (/ (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) (sqrt 2))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (cos th) (+ (pow a1 2) (pow a2 2))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(cos th) |
(cos.f64 th) |
(/ (cos th) (sqrt 2)) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(/ (* (pow a2 2) (* (cos th) (+ 1 (/ (pow a1 2) (pow a2 2))))) (sqrt 2)) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 218 |
| 0 | 51 | 194 |
| 1 | 169 | 194 |
| 2 | 1285 | 194 |
| 0 | 8266 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(*.f64 a1 a1) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) |
(/.f64 a1 a2) |
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 a2 a1)) (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 a2 a1))) |
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 a2 a1))) |
(*.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) |
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) |
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
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(/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) |
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(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (*.f64 (cos.f64 th) a2) (pow.f64 a2 #s(literal -1 binary64))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
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(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(fma.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
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(fma.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(fma.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
(fma.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
(fma.f64 a2 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) a2)) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(fma.f64 a2 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(+.f64 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
(*.f64 (/.f64 (cos.f64 th) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 a2 a1))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 a2 a1)) (/.f64 (cos.f64 th) (-.f64 a2 a1))) |
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) |
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(/.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (cos.f64 th))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) |
(fma.f64 (*.f64 (cos.f64 th) a1) a1 (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) a1)) |
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a1) a1)) |
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)) |
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
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(fma.f64 a2 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) a1)) |
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(*.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) |
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(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1)) |
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2)) |
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2)) |
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1)) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
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(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1))) |
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(pow.f64 a1 #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
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(/.f64 (fma.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a2 #s(literal 1 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
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(/.f64 (fma.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))) |
(/.f64 (fma.f64 a1 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a2 a2))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
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(fma.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
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(fma.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (/.f64 a2 #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 a1 (pow.f64 a1 #s(literal -1 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 a2 (pow.f64 a2 #s(literal -1 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -1 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal -1 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
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(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(cos.f64 th) |
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(-.f64 (/.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal -1 binary64))) |
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(+.f64 (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
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(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 th)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (cos.f64 th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) |
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
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(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 (/.f64 a1 a2) a2) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 a1 a2) #s(literal -1 binary64)) (/.f64 (neg.f64 a1) a2) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 a2 #s(literal -1 binary64)) a2) (/.f64 a1 (pow.f64 a1 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (log.f64 (/.f64 a1 a2))) (exp.f64 (log.f64 (/.f64 a1 a2))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 a1 a2) a2) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 a1) a2) (/.f64 (pow.f64 (neg.f64 a2) #s(literal -1 binary64)) (pow.f64 a1 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 a1) a2) (/.f64 (neg.f64 a1) a2) #s(literal 1 binary64)) |
(fma.f64 (/.f64 a1 (neg.f64 a2)) (/.f64 a1 (neg.f64 a2)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 a2 #s(literal -2 binary64)) (*.f64 a1 a1) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 a1 a2) a1) (pow.f64 a2 #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 a2 #s(literal -1 binary64)) (/.f64 (/.f64 a1 a2) (pow.f64 a1 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 a1 a2) (/.f64 (pow.f64 a2 #s(literal -1 binary64)) (pow.f64 a1 #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 a1 a2) (*.f64 (/.f64 a1 a2) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a1 a1) (pow.f64 (pow.f64 (neg.f64 a2) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a1 a1) (pow.f64 a2 #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 a1 (/.f64 (/.f64 a1 a2) a2) #s(literal 1 binary64)) |
(fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) |
(fma.f64 a1 (pow.f64 (*.f64 a2 (/.f64 a2 a1)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 a1 a2) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a1 a2) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 a1) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 a2) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal 1 binary64)) a1) |
(*.f64 (pow.f64 a2 #s(literal -1 binary64)) (pow.f64 (pow.f64 a1 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a2 #s(literal -1 binary64)) a1) |
(*.f64 (neg.f64 a1) (pow.f64 (neg.f64 a2) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 a1 a2)) |
(*.f64 a1 (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 a1 (pow.f64 a2 #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 a2 a1) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a2 a1) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a1 a2) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 a2)))) |
(/.f64 (neg.f64 (*.f64 a1 #s(literal 1 binary64))) (neg.f64 a2)) |
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a2))) |
(/.f64 (*.f64 a1 #s(literal 1 binary64)) a2) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a2 a1) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a2 a1))) |
(/.f64 (neg.f64 a1) (neg.f64 a2)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a2 a1)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a2 a1) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a2 a1)) |
(/.f64 a1 a2) |
(neg.f64 (/.f64 (neg.f64 a1) a2)) |
(neg.f64 (/.f64 a1 (neg.f64 a2))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a2)) (/.f64 a1 (neg.f64 a2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a2 a1)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a1 a2)) #s(literal 1 binary64))) |
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a1 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a1) |
(*.f64 (neg.f64 a1) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 a1 #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 a1 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(/.f64 (neg.f64 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a1 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal -1 binary64))) |
(*.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 a1 (pow.f64 a1 #s(literal -1 binary64)))) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal -1 binary64)))) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
(*.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a1) a1)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 a1 (neg.f64 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(/.f64 (neg.f64 (*.f64 a1 #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 a1 #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) |
(/.f64 (neg.f64 a1) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) |
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(exp.f64 (-.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
Compiled 40 209 to 3 352 computations (91.7% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 137 | 24 | 1 161 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 146 | 27 | 1 173 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.5% | (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
| ▶ | 99.1% | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | 99.6% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
| 67.4% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 67.4% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 63.0% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 99.6% | (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
| 99.1% | (*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) | |
| 63.1% | #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 63.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) | |
| 62.9% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 53.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
| 63.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) | |
| 63.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 54.9% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 28.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 51.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) | |
| 98.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal -1 binary64))))) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) | |
| ✓ | 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 66.7% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
| 67.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
Compiled 1 587 to 995 computations (37.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 th) a2) | |
| cost-diff | 0 | (*.f64 (*.f64 (cos.f64 th) a2) a2) | |
| cost-diff | 0 | #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| cost-diff | 3 | (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) | |
| cost-diff | 4 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) | |
| cost-diff | 4 | (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) | |
| cost-diff | 0 | (*.f64 a1 a1) | |
| cost-diff | 0 | (fma.f64 a2 a2 (*.f64 a1 a1)) | |
| cost-diff | 0 | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) | |
| cost-diff | 0 | #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) | |
| cost-diff | 0 | (*.f64 a1 a1) | |
| cost-diff | 0 | (fma.f64 a2 a2 (*.f64 a1 a1)) | |
| cost-diff | 0 | (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 329 |
| 0 | 73 | 304 |
| 1 | 118 | 296 |
| 2 | 167 | 296 |
| 3 | 211 | 292 |
| 4 | 249 | 292 |
| 5 | 307 | 292 |
| 6 | 425 | 290 |
| 7 | 628 | 290 |
| 8 | 1582 | 279 |
| 9 | 2695 | 279 |
| 10 | 3866 | 279 |
| 11 | 4022 | 279 |
| 12 | 4134 | 279 |
| 13 | 4248 | 279 |
| 14 | 4445 | 279 |
| 15 | 5713 | 279 |
| 0 | 8097 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
a2 |
(*.f64 a1 a1) |
a1 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cos.f64 th) |
th |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
a2 |
(*.f64 a1 a1) |
a1 |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 th th) |
th |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(*.f64 a2 a2) |
a2 |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a1 |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
th |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
a2 |
(*.f64 a1 a1) |
a1 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cos.f64 th) |
th |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
a2 |
(*.f64 a1 a1) |
a1 |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(*.f64 th th) |
th |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 a2 a2) |
a2 |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a1 |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 #s(literal 2 binary64) a1) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
th |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (*.f64 (*.f64 (cos.f64 th) a2) a2) | |
| accuracy | 0.140625 | (*.f64 (cos.f64 th) a2) | |
| accuracy | 0.189785009768442 | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.3144107039124181 | #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) | |
| accuracy | 0.4576950195368841 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) | |
| accuracy | 5.654439153776891 | (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) | |
| accuracy | 10.11353149776637 | (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) | |
| accuracy | 23.531707441863208 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0.189785009768442 | (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 30.065069837746695 | #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) | |
| accuracy | 0.3229401781236614 | #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) | |
| accuracy | 0.45703125 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 23.531707441863208 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (cos.f64 th) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) | |
| accuracy | 0.21875 | (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
| 69.0ms | 256× | 0 | valid |
Compiled 589 to 85 computations (85.6% saved)
ival-mult: 22.0ms (44.1% of total)ival-div: 13.0ms (26.1% of total)ival-add: 6.0ms (12% of total)ival-cos: 5.0ms (10% of total)ival-sqrt: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(*.f64 a1 a1) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(/ (pow a2 2) (sqrt 2)) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(pow a2 2) |
(+ (pow a1 2) (pow a2 2)) |
(pow a1 2) |
(* (pow a2 2) (cos th)) |
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) |
(/ (pow (sqrt 2) 2) a1) |
(/ (* (pow a2 2) (sqrt 2)) a1) |
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a1) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(/ (pow a1 2) (sqrt 2)) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) |
(* (pow a1 2) (cos th)) |
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))) |
(* a1 (sqrt 2)) |
(* a1 (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) |
(* -1 (* a1 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))) |
(/ a2 (sqrt 2)) |
(+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) |
(* a2 (cos th)) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) |
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) |
(* (pow a2 2) (+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2)) |
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2)) |
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
1 |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(* (cos th) (+ (pow a1 2) (pow a2 2))) |
(cos th) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a1 | @ | -inf | ((* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (* (sqrt 2) (/ (sqrt 2) a1))) (* (sqrt 2) (/ (sqrt 2) a1)) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (sqrt 2) (cos th)) |
| 4.0ms | a2 | @ | inf | ((* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (* (sqrt 2) (/ (sqrt 2) a1))) (* (sqrt 2) (/ (sqrt 2) a1)) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (sqrt 2) (cos th)) |
| 3.0ms | a1 | @ | 0 | ((* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (* (sqrt 2) (/ (sqrt 2) a1))) (* (sqrt 2) (/ (sqrt 2) a1)) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (sqrt 2) (cos th)) |
| 3.0ms | a1 | @ | inf | ((* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (* (sqrt 2) (/ (sqrt 2) a1))) (* (sqrt 2) (/ (sqrt 2) a1)) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (sqrt 2) (cos th)) |
| 3.0ms | a2 | @ | -inf | ((* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (* (sqrt 2) (/ (sqrt 2) a1))) (* (sqrt 2) (/ (sqrt 2) a1)) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (* (+ (* a2 a2) (* a1 a1)) (cos th)) (* (* (cos th) a2) a2) (* (cos th) a2) (cos th) (sqrt 2) (cos th)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 891 |
| 1 | 570 | 840 |
| 2 | 1980 | 753 |
| 3 | 5303 | 716 |
| 4 | 6070 | 698 |
| 0 | 9183 | 628 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(/ (pow a2 2) (sqrt 2)) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(pow a2 2) |
(+ (pow a1 2) (pow a2 2)) |
(pow a1 2) |
(* (pow a2 2) (cos th)) |
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) |
(/ (pow (sqrt 2) 2) a1) |
(/ (* (pow a2 2) (sqrt 2)) a1) |
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a1) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(/ (pow a1 2) (sqrt 2)) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) |
(* (pow a1 2) (cos th)) |
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))) |
(* a1 (sqrt 2)) |
(* a1 (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) |
(* -1 (* a1 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))) |
(/ a2 (sqrt 2)) |
(+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) |
(* a2 (cos th)) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) |
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) |
(* (pow a2 2) (+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2))) |
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2)) |
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2)) |
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
1 |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(* (cos th) (+ (pow a1 2) (pow a2 2))) |
(cos th) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (pow a2 2) (sqrt 2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(pow a2 2) |
(*.f64 a2 a2) |
(+ (pow a1 2) (pow a2 2)) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(pow a1 2) |
(*.f64 a1 a1) |
(* (pow a2 2) (cos th)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(/ (pow (sqrt 2) 2) a1) |
(/.f64 #s(literal 2 binary64) a1) |
(/ (* (pow a2 2) (sqrt 2)) a1) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1)) |
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a1) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) a1) (sqrt.f64 #s(literal 2 binary64))) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (pow a1 2) (sqrt 2)) |
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(* (pow a1 2) (cos th)) |
(*.f64 (*.f64 (cos.f64 th) a1) a1) |
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(* a1 (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(* a1 (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1)) |
(* -1 (* a1 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1)) |
(/ a2 (sqrt 2)) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1)) |
(* a2 (cos th)) |
(*.f64 (cos.f64 th) a2) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2)))) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2)))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(* (pow a2 2) (+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1)) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 th th)) (*.f64 th th))) |
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* 1/24 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))))) (+ (pow a1 2) (pow a2 2))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))) |
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (+ (pow a1 2) (pow a2 2))))))) (+ (pow a1 2) (pow a2 2))) |
(fma.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2)) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) |
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2)) |
(fma.f64 (*.f64 (*.f64 a2 a2) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)) |
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2)) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 a2 a2) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow th 2))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (cos th) (+ (pow a1 2) (pow a2 2))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) |
(cos th) |
(cos.f64 th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 272 |
| 0 | 73 | 258 |
| 1 | 226 | 246 |
| 2 | 1561 | 240 |
| 0 | 8382 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(*.f64 a1 a1) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(*.f64 (cos.f64 th) a2) |
(cos.f64 th) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (/.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (/.f64 (cos.f64 th) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))) |
(*.f64 (/.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 a2 a1))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) |
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 th))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (cos.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -2 binary64)) |
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(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 a2 a1))) |
(*.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (fma.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) |
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64)))) (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1)) |
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2)) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
(fma.f64 a2 a2 (*.f64 a1 a1)) |
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) |
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) |
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) |
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) |
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1))) |
(*.f64 a1 a1) |
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64)) |
(pow.f64 a1 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (/.f64 (neg.f64 a2) #s(literal -1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 a2 #s(literal -1 binary64)) (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 a2 (pow.f64 a2 #s(literal -1 binary64)))) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal -1 binary64)))) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(*.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a2) a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 a2 (neg.f64 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))) |
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) a2))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 #s(literal 1 binary64) a2))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (neg.f64 a2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))) |
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(exp.f64 (-.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) |
(*.f64 (neg.f64 a2) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (neg.f64 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a2 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (+.f64 a2 a1)) (/.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 a2 a1))) |
(*.f64 (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
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(fma.f64 (pow.f64 a1 #s(literal -1 binary64)) (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal -1 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) a1 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) |
(fma.f64 a1 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) |
(fma.f64 a2 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(-.f64 (/.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2))) (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))) (/.f64 (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(*.f64 (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) |
(*.f64 (neg.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))))) |
(/.f64 (neg.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) #s(literal -1 binary64))) |
#s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(*.f64 (*.f64 (cos.f64 th) a2) a2) |
(*.f64 (*.f64 a2 a2) (cos.f64 th)) |
(*.f64 (cos.f64 th) (*.f64 a2 a2)) |
(*.f64 a2 (*.f64 (cos.f64 th) a2)) |
(*.f64 (cos.f64 th) a2) |
(*.f64 a2 (cos.f64 th)) |
(cos.f64 th) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
Compiled 34 378 to 2 995 computations (91.3% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 947 | 18 | 965 |
| Fresh | 7 | 13 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 957 | 35 | 992 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.1% | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
| 66.7% | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) | |
| ▶ | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
| ▶ | 67.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
| 67.3% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) | |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) | |
| ✓ | 99.6% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
| 67.4% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 63.0% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) | |
| 99.1% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) | |
| 99.1% | (*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) | |
| 99.1% | (*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) | |
| 63.1% | #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 62.9% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) | |
| 53.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) | |
| ▶ | 53.4% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
| 63.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) | |
| 63.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 51.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) | |
| 53.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 53.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 13.2% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 53.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) | |
| ✓ | 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| ▶ | 66.7% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
| ▶ | 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
| 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 62.4% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) | |
| 62.4% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) | |
| ✓ | 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
| 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) | |
| 67.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
Compiled 2 157 to 1 333 computations (38.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 3 | (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) | |
| cost-diff | 5 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) | |
| cost-diff | 0 | #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 a2 a2) | |
| cost-diff | 0 | (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) | |
| cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 433 |
| 0 | 83 | 412 |
| 1 | 149 | 378 |
| 2 | 283 | 373 |
| 3 | 667 | 359 |
| 4 | 1919 | 359 |
| 5 | 4734 | 359 |
| 6 | 7677 | 359 |
| 0 | 8084 | 356 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
a1 |
(*.f64 a2 a2) |
a2 |
(cos.f64 th) |
th |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 a2 a2) |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 th th) |
th |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
a2 |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 th th) |
th |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
a1 |
(*.f64 a2 a2) |
a2 |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(*.f64 a2 a2) |
a2 |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a1 |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 a1) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
a1 |
(*.f64 a2 a2) |
a2 |
(cos.f64 th) |
th |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(*.f64 a2 a2) |
a2 |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) |
(*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(*.f64 th th) |
th |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
a2 |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 th th) |
th |
(fma.f64 a1 a1 (*.f64 a2 a2)) |
a1 |
(*.f64 a2 a2) |
a2 |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 a2 a1) a2 a1))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 a2 a1) a2 a1)) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(*.f64 (fma.f64 (/.f64 a2 a1) a2 a1) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 a2 a2) |
a2 |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
a1 |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 2 binary64) a1) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/2 binary64) a1) |
(neg.f64 a1) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal -2 binary64) |
(neg.f64 (sqrt.f64 #s(literal 2 binary64))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 5.654439153776891 | (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) | |
| accuracy | 10.11353149776637 | (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) | |
| accuracy | 23.531707441863208 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) | |
| accuracy | 0.23113251953688405 | (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) | |
| accuracy | 0.41579989271441586 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) | |
| accuracy | 0.9061584671672336 | (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) | |
| accuracy | 30.065069837746695 | #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) | |
| accuracy | 0.16796875 | (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.32220282795391464 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.45703125 | (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 30.065069837746695 | #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.22265625 | (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.3229401781236614 | #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 23.531707441863208 | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.00390625 | (cos.f64 th) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) | |
| accuracy | 0.41579989271441586 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) | |
| accuracy | 0.913183540189466 | (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
| 84.0ms | 256× | 0 | valid |
Compiled 760 to 98 computations (87.1% saved)
ival-div: 22.0ms (35.9% of total)ival-mult: 21.0ms (34.3% of total)ival-add: 8.0ms (13.1% of total)ival-cos: 6.0ms (9.8% of total)ival-sqrt: 2.0ms (3.3% of total)ival-neg: 2.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 a2 a2) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(cos.f64 th) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(/ (sqrt 2) (* (pow a2 2) (cos th))) |
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(/ (sqrt 2) (pow a2 2)) |
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2))) |
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2))) |
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2))) |
(/ (pow a2 2) (sqrt 2)) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(/ (* (pow a2 2) (sqrt 2)) a1) |
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a1) |
(/ (pow (sqrt 2) 2) a1) |
(/ a1 (pow (sqrt 2) 2)) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(/ (sqrt 2) (* (pow a1 2) (cos th))) |
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2)) |
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2)) |
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2)) |
(/ (sqrt 2) (pow a1 2)) |
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2)) |
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2)) |
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2)) |
(/ (pow a1 2) (sqrt 2)) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(* a1 (sqrt 2)) |
(* a1 (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) |
(* -1 (* a1 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))) |
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2))) |
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2))) |
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2))) |
(pow a2 2) |
(* a2 (cos th)) |
(+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) |
(/ a2 (sqrt 2)) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2)) |
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2)) |
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2)) |
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2)) |
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2)) |
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2)) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2))) |
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
1 |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2))))) |
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2))))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2)))) |
(cos th) |
(/ (sqrt 2) (cos th)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a2 | @ | 0 | ((/ 1 (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (cos th)) (* (sqrt 2) (neg (sqrt 2))) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))) (/ (neg a1) (* (sqrt 2) (neg (sqrt 2)))) (cos th) (/ a2 (sqrt 2)) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))))) |
| 6.0ms | a1 | @ | inf | ((/ 1 (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (cos th)) (* (sqrt 2) (neg (sqrt 2))) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))) (/ (neg a1) (* (sqrt 2) (neg (sqrt 2)))) (cos th) (/ a2 (sqrt 2)) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))))) |
| 5.0ms | a2 | @ | inf | ((/ 1 (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (cos th)) (* (sqrt 2) (neg (sqrt 2))) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))) (/ (neg a1) (* (sqrt 2) (neg (sqrt 2)))) (cos th) (/ a2 (sqrt 2)) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))))) |
| 4.0ms | a2 | @ | -inf | ((/ 1 (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (cos th)) (* (sqrt 2) (neg (sqrt 2))) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))) (/ (neg a1) (* (sqrt 2) (neg (sqrt 2)))) (cos th) (/ a2 (sqrt 2)) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))))) |
| 4.0ms | a1 | @ | 0 | ((/ 1 (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th))) (/ (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))) (sqrt 2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/ (* a2 a2) (sqrt 2)) (* a2 a2) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (cos th) (/ 1 (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2)))) (/ (/ (sqrt 2) (cos th)) (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2) (cos th)) (* (sqrt 2) (neg (sqrt 2))) (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))) (/ (neg a1) (* (sqrt 2) (neg (sqrt 2)))) (cos th) (/ a2 (sqrt 2)) (cos th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (/ 1 (/ (neg a1) (* (sqrt 2) (neg (sqrt 2))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 348 | 1866 |
| 1 | 1089 | 1789 |
| 2 | 3884 | 1591 |
| 0 | 8395 | 1500 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(/ (sqrt 2) (* (pow a2 2) (cos th))) |
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(/ (sqrt 2) (pow a2 2)) |
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2))) |
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2))) |
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2))) |
(/ (pow a2 2) (sqrt 2)) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(/ (* (pow a2 2) (sqrt 2)) a1) |
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a1) |
(/ (pow (sqrt 2) 2) a1) |
(/ a1 (pow (sqrt 2) 2)) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(/ (sqrt 2) (* (pow a1 2) (cos th))) |
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2)) |
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2)) |
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2)) |
(/ (sqrt 2) (pow a1 2)) |
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2)) |
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2)) |
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2)) |
(/ (pow a1 2) (sqrt 2)) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(* a1 (sqrt 2)) |
(* a1 (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) |
(* -1 (* a1 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))) |
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2))) |
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2))) |
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2))) |
(pow a2 2) |
(* a2 (cos th)) |
(+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) |
(/ a2 (sqrt 2)) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2)) |
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2)) |
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2)) |
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2)) |
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2)) |
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2)) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(* (pow a2 2) (+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2))) |
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
1 |
(+ 1 (* -1/2 (pow th 2))) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2))))) |
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2))))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2)))) |
(cos th) |
(/ (sqrt 2) (cos th)) |
| Outputs |
|---|
(/ (* (pow a2 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) |
(/ (sqrt 2) (* (pow a2 2) (cos th))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) |
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 a1) a1) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) |
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 6) (cos th))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (pow.f64 a2 #s(literal 6 binary64))) (/.f64 a1 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th)))) (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) |
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a2 6) (cos th)))))) (/ (sqrt 2) (* (pow a2 4) (cos th))))) (/ (sqrt 2) (* (pow a2 2) (cos th)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 (/.f64 a1 (pow.f64 a2 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (cos.f64 th))))) (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) |
(/ (sqrt 2) (pow a2 2)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) |
(+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 4))) (/ (sqrt 2) (pow a2 2))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a1) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
(+ (* (pow a1 2) (- (/ (* (pow a1 2) (sqrt 2)) (pow a2 6)) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (*.f64 a1 a1) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) |
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 8))) (* -1 (/ (sqrt 2) (pow a2 6))))) (/ (sqrt 2) (pow a2 4)))) (/ (sqrt 2) (pow a2 2))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (pow.f64 a2 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a2 #s(literal 6 binary64))))) (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (*.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) |
(/ (pow a2 2) (sqrt 2)) |
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) |
(/ (* (pow a2 2) (sqrt 2)) a1) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) |
(/ (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))) a1) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) a1)) |
(/ (pow (sqrt 2) 2) a1) |
(/.f64 #s(literal 2 binary64) a1) |
(/ a1 (pow (sqrt 2) 2)) |
(/.f64 a1 #s(literal 2 binary64)) |
(/ (* (pow a1 2) (cos th)) (sqrt 2)) |
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (sqrt 2) (* (pow a1 2) (cos th))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1)) |
(/ (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a1 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a1 a1)) |
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th)))) (pow a1 2)) |
(/.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)))) a1) a1) |
(/ (- (+ (* -1 (/ (* (pow a2 6) (sqrt 2)) (* (pow a1 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 2) (cos th))))) (pow a1 2)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 (/.f64 (neg.f64 (pow.f64 a2 #s(literal 6 binary64))) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 6 binary64))))) (*.f64 a1 a1)) |
(/ (sqrt 2) (pow a1 2)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1) |
(/ (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2)) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1))) (*.f64 a1 a1)) |
(/ (- (+ (sqrt 2) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (pow a1 2)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) |
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a2 6) (sqrt 2)) (pow a1 6)))) (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) (pow a1 4))) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) (pow a1 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 a2 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) |
(/ (pow a1 2) (sqrt 2)) |
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)) |
(* a1 (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) |
(* a1 (+ (sqrt 2) (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1) |
(* -1 (* a1 (+ (* -1 (sqrt 2)) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1) |
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 4) (cos th)))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) |
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 6) (cos th))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 a2 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (cos.f64 th)))) (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) |
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (* (pow a1 8) (cos th)))) (* -1 (/ (sqrt 2) (* (pow a1 6) (cos th)))))) (/ (sqrt 2) (* (pow a1 4) (cos th))))) (/ (sqrt 2) (* (pow a1 2) (cos th)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 (/.f64 a2 (pow.f64 a1 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a1 #s(literal 6 binary64))))) (*.f64 a2 a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 4 binary64))))) (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) a1))) |
(+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 4))) (/ (sqrt 2) (pow a1 2))) |
(/.f64 (-.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1))) (*.f64 a1 a1)) |
(+ (* (pow a2 2) (- (/ (* (pow a2 2) (sqrt 2)) (pow a1 6)) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (*.f64 a2 a2) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) (*.f64 a2 a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) |
(+ (* (pow a2 2) (- (* (pow a2 2) (- (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 8))) (* -1 (/ (sqrt 2) (pow a1 6))))) (/ (sqrt 2) (pow a1 4)))) (/ (sqrt 2) (pow a1 2))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (pow.f64 a1 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a1 #s(literal 6 binary64))))) (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 4 binary64))))) (*.f64 a2 a2) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)) |
(pow a2 2) |
(*.f64 a2 a2) |
(* a2 (cos th)) |
(*.f64 (cos.f64 th) a2) |
(+ (* a1 (sqrt 2)) (/ (* (pow a2 2) (sqrt 2)) a1)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 (/.f64 (*.f64 a2 a2) a1))) |
(/ a2 (sqrt 2)) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (/ (sqrt 2) (cos th))) (pow a2 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2)) |
(/ (- (+ (/ (sqrt 2) (cos th)) (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th)))) (pow a2 2)) |
(/.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 a1 a2) (/.f64 a1 a2)))) a2) a2) |
(/ (- (+ (* -1 (/ (* (pow a1 6) (sqrt 2)) (* (pow a2 6) (cos th)))) (/ (sqrt 2) (cos th))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (* (pow a2 4) (cos th)))) (/ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (cos th))))) (pow a2 2)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (-.f64 (+.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 a1 a2) (/.f64 a1 a2))) (*.f64 (/.f64 (neg.f64 (pow.f64 a1 #s(literal 6 binary64))) (cos.f64 th)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (*.f64 a2 a2)) |
(/ (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a1) a1) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
(/ (- (+ (sqrt 2) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (pow a2 2)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 a1 a2) (/.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) |
(/ (- (+ (sqrt 2) (* -1 (/ (* (pow a1 6) (sqrt 2)) (pow a2 6)))) (+ (* -1 (/ (* (pow a1 4) (sqrt 2)) (pow a2 4))) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))) (pow a2 2)) |
(/.f64 (fma.f64 (pow.f64 a1 #s(literal 6 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (/.f64 a1 a2) (/.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) |
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 a1 a2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2)) |
(* (pow a2 2) (+ (/ (sqrt 2) a1) (/ (* a1 (sqrt 2)) (pow a2 2)))) |
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 a2 a2)) |
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)) |
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 th th) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(/ (sqrt 2) (+ (pow a1 2) (pow a2 2))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) |
(+ (* 1/2 (/ (* (pow th 2) (sqrt 2)) (+ (pow a1 2) (pow a2 2)))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) |
(+ (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(fma.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))) (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) |
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (+ (* 1/48 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))) (+ (* -1/4 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2))))))) (* -1/2 (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))))) (/ (sqrt 2) (+ (pow a1 2) (pow a2 2)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/24 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 (neg.f64 th) th) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal -61/720 binary64)))) (*.f64 th th) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))) (*.f64 th th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) |
(fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 th th)) (*.f64 th th))) |
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 (*.f64 (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2))) |
(fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))))) |
a2 |
(+ a2 (* -1/2 (* a2 (pow th 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2)))))) |
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2) |
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) a2) (pow.f64 th #s(literal 4 binary64)) (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))) (*.f64 th th) a2) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow th 2))) |
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) (*.f64 th th) #s(literal 1 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2))))) |
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 th) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -61/720 binary64))) (*.f64 #s(literal 5/24 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) |
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2)) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/ (sqrt 2) (* (cos th) (+ (pow a1 2) (pow a2 2)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) (cos.f64 th)) |
(cos th) |
(cos.f64 th) |
(/ (sqrt 2) (cos th)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 351 |
| 0 | 83 | 330 |
| 1 | 307 | 291 |
| 2 | 2145 | 285 |
| 0 | 8154 | 281 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 a2 a2) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) |
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(cos.f64 th) |
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (neg.f64 (cos.f64 th))) |
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (cos.f64 th) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) (cos.f64 th)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cos.f64 th) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)))) |
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)))) #s(literal -1 binary64)) |
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(fma.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(fma.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 a2 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2)))) (/.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) a1) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (*.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) |
(*.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (pow.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) (cos.f64 th))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
(pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cos.f64 th) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64))) (neg.f64 (cos.f64 th))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)) (cos.f64 th)) |
(/.f64 (neg.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 th) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (pow.f64 (cos.f64 th) #s(literal -1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 th)))) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 th))))) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th)))) |
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (cos.f64 th))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (cos.f64 th))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (neg.f64 (cos.f64 th)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th)) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a2 #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2)) |
(*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) |
(*.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 a2) a2) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a2) a2))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (neg.f64 a2) a2) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a2) a2)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) |
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2))) |
(*.f64 a2 a2) |
(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a2 a2) #s(literal 1 binary64)) |
(pow.f64 a2 #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 a2) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2)) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2) |
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2)) |
(*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 a2 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2))) |
(*.f64 a2 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a2) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (neg.f64 a2) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (neg.f64 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(/.f64 (*.f64 (neg.f64 a2) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 (neg.f64 a2) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) |
(/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 (neg.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
(/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)) |
(/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2)))) |
(*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) |
(*.f64 a2 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal -1 binary64)) |
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#s(literal -2 binary64) |
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(/.f64 a1 #s(literal 2 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) a1) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) a1)) |
(neg.f64 (/.f64 (*.f64 a1 #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 a1 #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 a1 #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 a1 #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) a1)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a1 #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(cos.f64 th) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a2 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) a2) |
(*.f64 (neg.f64 a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 a2 #s(literal 1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (neg.f64 a2) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 a2 #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal -1 binary64))) |
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
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(*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 a2) a2)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 a1 a1)))) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) a1))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a1 #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1)) #s(literal -2 binary64)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)))) (/.f64 #s(literal 2 binary64) a1)))) |
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(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) a1)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 a1 #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 a1 #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) a1) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 (neg.f64 a2) a2)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))) (neg.f64 (fma.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))) (neg.f64 (fma.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) a1) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) a1) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 2 binary64) a1)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)))) (/.f64 #s(literal 2 binary64) a1))) |
(/.f64 (fma.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 a2) a2))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (*.f64 a1 a1))) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (*.f64 a1 a1) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) a1) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) a1) (fma.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)))))) |
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (fma.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))) (fma.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 2 binary64) a1))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) a1)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a2 a1) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)) (pow.f64 a2 #s(literal 6 binary64)) (*.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -3/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) a1)))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a2 #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
(-.f64 (/.f64 (*.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) |
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)) |
Compiled 38 059 to 3 573 computations (90.6% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 055 | 11 | 1 066 |
| Fresh | 5 | 21 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 062 | 39 | 1 101 |
| Status | Accuracy | Program |
|---|---|---|
| 67.5% | (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) | |
| ✓ | 99.1% | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
| 66.7% | (/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (cos.f64 th))) | |
| ✓ | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
| 98.6% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) | |
| 58.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) | |
| ✓ | 99.6% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
| 67.4% | (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 99.1% | (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) | |
| 99.1% | (*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) | |
| 99.1% | (*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) | |
| 63.1% | #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 62.9% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) | |
| 53.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) | |
| 63.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) | |
| 63.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 51.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) | |
| 66.7% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) | |
| 49.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) | |
| 53.0% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) | |
| 53.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 53.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) | |
| 66.8% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) | |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) | |
| 66.7% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) | |
| ✓ | 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
| 99.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| ✓ | 66.7% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
| 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) | |
| 62.4% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) | |
| 62.4% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) | |
| 36.1% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) | |
| ✓ | 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
| 62.6% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) | |
| 62.5% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 13.2% | #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 3 468 to 1 101 computations (68.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
(*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (cos.f64 th))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
8 calls:
| 18.0ms | th |
| 18.0ms | a1 |
| 16.0ms | a2 |
| 16.0ms | (cos.f64 th) |
| 16.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a1 |
| 99.6% | 1 | a2 |
| 99.6% | 1 | th |
| 99.6% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 99.6% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 99.6% | 1 | (cos.f64 th) |
| 99.6% | 1 | (*.f64 a1 a1) |
| 99.6% | 1 | (*.f64 a2 a2) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
(*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
8 calls:
| 46.0ms | a2 |
| 40.0ms | (cos.f64 th) |
| 29.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 13.0ms | (*.f64 a2 a2) |
| 13.0ms | a1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | a1 |
| 99.6% | 1 | a2 |
| 99.6% | 1 | th |
| 99.6% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 99.6% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 99.6% | 1 | (cos.f64 th) |
| 99.6% | 1 | (*.f64 a1 a1) |
| 99.6% | 1 | (*.f64 a2 a2) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
(*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 (cos.f64 th) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
8 calls:
| 24.0ms | a1 |
| 14.0ms | th |
| 13.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 12.0ms | a2 |
| 12.0ms | (*.f64 a2 a2) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | a1 |
| 99.1% | 1 | a2 |
| 99.1% | 1 | th |
| 99.1% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 99.1% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 99.1% | 1 | (cos.f64 th) |
| 99.1% | 1 | (*.f64 a1 a1) |
| 99.1% | 1 | (*.f64 a2 a2) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
(*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
8 calls:
| 28.0ms | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 14.0ms | a1 |
| 13.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 12.0ms | a2 |
| 12.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | a1 |
| 99.1% | 1 | a2 |
| 99.1% | 1 | th |
| 99.1% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 99.1% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 99.1% | 1 | (cos.f64 th) |
| 99.1% | 1 | (*.f64 a1 a1) |
| 99.1% | 1 | (*.f64 a2 a2) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
8 calls:
| 28.0ms | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 13.0ms | th |
| 13.0ms | a1 |
| 11.0ms | (*.f64 a1 a1) |
| 11.0ms | a2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | a1 |
| 99.1% | 1 | a2 |
| 99.1% | 1 | th |
| 99.1% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 99.1% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 99.1% | 1 | (cos.f64 th) |
| 99.1% | 1 | (*.f64 a2 a2) |
| 99.1% | 1 | (*.f64 a1 a1) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (*.f64 a2 a2))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt 2) (cos th)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) (fma.f64 a1 a1 (*.f64 a2 a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (fma.f64 (*.f64 #s(literal -1/2 binary64) th) (/.f64 th (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (fma.f64 (/.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 a2 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 a2 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 a1) a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a2) a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) a1)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* (* a2 a2) (/ (sqrt 2) a1)) (* (sqrt 2) a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a1) (/.f64 a2 a1) (sqrt.f64 #s(literal 2 binary64))) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64))) |
8 calls:
| 12.0ms | (*.f64 a2 a2) |
| 11.0ms | a2 |
| 11.0ms | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 11.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 11.0ms | a1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 2 | a1 |
| 71.7% | 2 | a2 |
| 67.5% | 1 | th |
| 78.0% | 2 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 77.8% | 2 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 77.8% | 2 | (cos.f64 th) |
| 71.3% | 2 | (*.f64 a2 a2) |
| 70.4% | 2 | (*.f64 a1 a1) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))) a2)) |
(/.f64 #s(approx (* (+ (* a2 a2) (* a1 a1)) (cos th)) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) a2)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
1 calls:
| 8.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 2 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))) |
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(approx (/ (cos th) (sqrt 2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
8 calls:
| 11.0ms | (*.f64 a2 a2) |
| 3.0ms | a2 |
| 3.0ms | a1 |
| 3.0ms | th |
| 3.0ms | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 1 | th |
| 63.1% | 1 | (*.f64 a1 a1) |
| 63.1% | 1 | a1 |
| 63.1% | 1 | (*.f64 a2 a2) |
| 63.1% | 1 | a2 |
| 63.1% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 63.1% | 1 | (cos.f64 th) |
| 63.1% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 a2 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
8 calls:
| 5.0ms | a1 |
| 2.0ms | (*.f64 a2 a2) |
| 2.0ms | th |
| 2.0ms | a2 |
| 2.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 62.6% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 62.6% | 1 | (cos.f64 th) |
| 62.6% | 1 | a2 |
| 62.6% | 1 | (*.f64 a2 a2) |
| 62.6% | 1 | a1 |
| 62.6% | 1 | (*.f64 a1 a1) |
| 62.6% | 1 | th |
Compiled 35 to 40 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
8 calls:
| 4.0ms | (*.f64 a2 a2) |
| 1.0ms | a1 |
| 1.0ms | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 1.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 62.6% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 62.6% | 1 | (cos.f64 th) |
| 62.6% | 1 | a2 |
| 62.6% | 1 | th |
| 62.6% | 1 | (*.f64 a2 a2) |
| 62.6% | 1 | a1 |
| 62.6% | 1 | (*.f64 a1 a1) |
Compiled 35 to 40 computations (-14.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
8 calls:
| 10.0ms | (cos.f64 th) |
| 1.0ms | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 1.0ms | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 1.0ms | th |
| 1.0ms | a1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.2% | 1 | (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) |
| 13.2% | 1 | (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) |
| 13.2% | 1 | (cos.f64 th) |
| 13.2% | 1 | a2 |
| 13.2% | 1 | (*.f64 a2 a2) |
| 13.2% | 1 | a1 |
| 13.2% | 1 | th |
| 13.2% | 1 | (*.f64 a1 a1) |
Compiled 35 to 40 computations (-14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.816506857998967e-119 | -1.9151536638023634e-224 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.816506857998967e-119 | -1.9151536638023634e-224 |
Compiled 22 to 18 computations (18.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 381 |
| 1 | 102 | 381 |
| 2 | 132 | 381 |
| 3 | 144 | 381 |
| 4 | 148 | 381 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) |
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))) |
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
(if (<=.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) #s(literal -4542742026847543/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))) #s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))) |
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (/ (* (+ (* a2 a2) (* a1 a1)) (cos th)) (sqrt 2)) #s(approx (+ (* (/ a2 (sqrt 2)) a2) (* (/ a1 (sqrt 2)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 0 | 20 | 38 |
| 1 | 58 | 38 |
| 2 | 411 | 38 |
| 3 | 7359 | 38 |
| 0 | 8465 | 37 |
| 0 | 173 | 891 |
| 1 | 570 | 840 |
| 2 | 1980 | 753 |
| 3 | 5303 | 716 |
| 4 | 6070 | 698 |
| 0 | 9183 | 628 |
| 0 | 33 | 218 |
| 0 | 51 | 194 |
| 1 | 169 | 194 |
| 2 | 1285 | 194 |
| 0 | 8266 | 194 |
| 0 | 111 | 576 |
| 1 | 343 | 562 |
| 2 | 1210 | 458 |
| 3 | 3908 | 429 |
| 0 | 8416 | 391 |
| 0 | 348 | 1866 |
| 1 | 1089 | 1789 |
| 2 | 3884 | 1591 |
| 0 | 8395 | 1500 |
| 0 | 195 | 1113 |
| 1 | 651 | 1059 |
| 2 | 2331 | 941 |
| 3 | 5759 | 853 |
| 4 | 7696 | 853 |
| 0 | 8455 | 766 |
| 0 | 47 | 272 |
| 0 | 73 | 258 |
| 1 | 226 | 246 |
| 2 | 1561 | 240 |
| 0 | 8382 | 236 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 788 to 344 computations (56.3% saved)
(sort a1 a2)
(abs a1)
(abs a2)
(abs th)
Compiled 1 376 to 644 computations (53.2% saved)
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