
Time bar (total: 21.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 21.9% | 21.9% | 78% | 0.1% | 0% | 0% | 0% | 7 |
| 23.4% | 23.4% | 76.5% | 0.1% | 0% | 0% | 0% | 8 |
| 35.2% | 35.1% | 64.8% | 0.1% | 0% | 0% | 0% | 9 |
| 36.3% | 36.3% | 63.6% | 0.1% | 0% | 0% | 0% | 10 |
| 42.4% | 42.3% | 57.6% | 0.1% | 0% | 0% | 0% | 11 |
| 43.1% | 43% | 56.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 16 to 12 computations (25% saved)
| 3.8s | 3 805× | 1 | valid |
| 304.0ms | 4 387× | 0 | valid |
| 142.0ms | 64× | 2 | valid |
| 2.0ms | 5× | 4 | exit |
ival-tan: 3.4s (86.1% of total)ival-mult: 248.0ms (6.3% of total)ival-div: 104.0ms (2.6% of total)ival-sub: 75.0ms (1.9% of total)adjust: 52.0ms (1.3% of total)ival-pi: 51.0ms (1.3% of total)exact: 8.0ms (0.2% of total)ival-true: 6.0ms (0.2% of total)ival-assert: 3.0ms (0.1% of total)| 2× | egg-herbie |
| 602× | times-frac |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 256× | *-lowering-*.f32 |
| 256× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 88 |
| 1 | 83 | 74 |
| 2 | 241 | 72 |
| 3 | 644 | 72 |
| 4 | 1129 | 72 |
| 5 | 1517 | 72 |
| 6 | 1753 | 72 |
| 7 | 1805 | 72 |
| 8 | 1815 | 72 |
| 0 | 10 | 14 |
| 1 | 23 | 12 |
| 2 | 57 | 12 |
| 3 | 134 | 12 |
| 4 | 212 | 12 |
| 5 | 324 | 12 |
| 6 | 394 | 12 |
| 7 | 477 | 12 |
| 8 | 587 | 12 |
| 9 | 658 | 12 |
| 10 | 726 | 12 |
| 11 | 762 | 12 |
| 0 | 762 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
| Outputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
| Inputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))) |
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))) |
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))) |
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))) |
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F)))) |
| Outputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))) |
(- (/ (tan (* (PI) l)) (* F F)) (* (PI) l)) |
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))) |
(- (/ (tan (* (PI) l)) (* F F)) (* (PI) l)) |
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F)))) |
(- (* (PI) F) (/ (tan (* (PI) F)) (* l l))) |
(abs F)
(negabs l)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 119 | 0 | - | 0 | - | (tan.f64 (*.f64 (PI.f64) l)) |
| 47 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) l) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 0 | 0 | - | 0 | - | (*.f64 F F) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | F |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 119 | 0 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) | n*o | 22 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 75 | 115 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 75 | 0 | 115 |
| number | freq |
|---|---|
| 0 | 115 |
| 1 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 137.0ms | 76× | 2 | valid |
| 121.0ms | 144× | 1 | valid |
| 42.0ms | 12× | 3 | valid |
| 27.0ms | 280× | 0 | valid |
Compiled 122 to 44 computations (63.9% saved)
ival-tan: 258.0ms (86.9% of total)ival-mult: 21.0ms (7.1% of total)ival-div: 5.0ms (1.7% of total)adjust: 5.0ms (1.7% of total)ival-pi: 4.0ms (1.3% of total)ival-sub: 4.0ms (1.3% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 256× | *-lowering-*.f32 |
| 256× | *-lowering-*.f64 |
| 138× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 23 | 39 |
| 2 | 57 | 39 |
| 3 | 134 | 39 |
| 4 | 212 | 39 |
| 5 | 324 | 39 |
| 6 | 394 | 39 |
| 7 | 477 | 39 |
| 8 | 587 | 39 |
| 9 | 658 | 39 |
| 10 | 726 | 39 |
| 11 | 762 | 39 |
| 0 | 762 | 39 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(* (PI) l) |
(PI) |
l |
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(/ 1 (* F F)) |
1 |
(* F F) |
F |
(tan (* (PI) l)) |
| Outputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) |
(/ 1 (* F F)) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(* F F) |
(fma.f64 F F #s(literal 0 binary64)) |
F |
(tan (* (PI) l)) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 82.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 55.7% | (tan.f64 (*.f64 (PI.f64) l)) |
| 111.0ms | 38× | 2 | valid |
| 105.0ms | 72× | 1 | valid |
| 20.0ms | 6× | 3 | valid |
| 10.0ms | 140× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-tan: 216.0ms (92% of total)ival-mult: 9.0ms (3.8% of total)ival-div: 3.0ms (1.3% of total)adjust: 3.0ms (1.3% of total)ival-pi: 2.0ms (0.9% of total)ival-sub: 2.0ms (0.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))> |
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))> |
#<alt (PI)> |
#<alt (/ 1 (* F F))> |
#<alt (tan (* (PI) l))> |
#<alt (* (PI) l)> |
| Outputs |
|---|
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (PI))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | F | @ | 0 | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 2.0ms | l | @ | inf | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 2.0ms | l | @ | 0 | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 1.0ms | l | @ | -inf | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 1.0ms | l | @ | 0 | (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
| 1× | batch-egg-rewrite |
| 4 686× | accelerator-lowering-fma.f32 |
| 4 686× | accelerator-lowering-fma.f64 |
| 3 978× | *-lowering-*.f32 |
| 3 978× | *-lowering-*.f64 |
| 2 176× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 63 | 31 |
| 2 | 460 | 31 |
| 3 | 6645 | 31 |
| 0 | 8167 | 31 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(PI) |
(/ 1 (* F F)) |
(tan (* (PI) l)) |
(* (PI) l) |
| Outputs |
|---|
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F))) |
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(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))) |
(*.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64))) (exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) #s(literal 0 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 F) #s(literal 0 binary64)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 F) #s(literal 0 binary64)))) |
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F)) |
(pow.f64 F #s(literal -2 binary64)) |
(pow.f64 (*.f64 F F) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64)) |
(pow.f64 (*.f64 F (*.f64 F (*.f64 F F))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) |
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(*.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (cbrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 l (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| 1× | egg-herbie |
| 17 378× | accelerator-lowering-fma.f32 |
| 17 378× | accelerator-lowering-fma.f64 |
| 6 854× | *-lowering-*.f32 |
| 6 854× | *-lowering-*.f64 |
| 2 798× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1418 |
| 1 | 432 | 1331 |
| 2 | 1450 | 1227 |
| 3 | 6920 | 1158 |
| 0 | 8507 | 1124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(* l (PI)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
| Outputs |
|---|
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
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(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal -1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) #s(literal 0 binary64))) (PI.f64))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
Compiled 13 093 to 1 246 computations (90.5% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 16 | 476 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 461 | 16 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| 83.6% | (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) | |
| 71.1% | (fma.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) | |
| 71.0% | (fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) | |
| ▶ | 76.7% | (fma.f64 l (PI.f64) #s(literal 0 binary64)) |
| 76.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) | |
| 75.3% | (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| ▶ | 83.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
| ▶ | 76.4% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| 76.4% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) | |
| ▶ | 83.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) |
| 75.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) | |
| 67.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) | |
| ▶ | 74.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 67.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) | |
| 38.2% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))) | |
| 67.1% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
Compiled 560 to 342 computations (38.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| ✓ | cost-diff | 320 | (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | cost-diff | 12096 | (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) |
| ✓ | cost-diff | 320 | (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (fma.f64 l (PI.f64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) |
| 496× | accelerator-lowering-fma.f32 |
| 496× | accelerator-lowering-fma.f64 |
| 456× | times-frac |
| 400× | *-lowering-*.f32 |
| 400× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 160 |
| 1 | 48 | 160 |
| 2 | 101 | 160 |
| 3 | 188 | 160 |
| 4 | 356 | 160 |
| 5 | 651 | 160 |
| 6 | 791 | 160 |
| 7 | 923 | 160 |
| 8 | 1112 | 160 |
| 9 | 1395 | 160 |
| 10 | 1587 | 160 |
| 11 | 1634 | 160 |
| 12 | 1639 | 160 |
| 13 | 1640 | 160 |
| 14 | 1640 | 160 |
| 0 | 1640 | 160 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) |
(* (PI) l) |
(PI) |
l |
(/ (/ (tan (* (PI) l)) F) F) |
(/ (tan (* (PI) l)) F) |
(tan (* (PI) l)) |
F |
(+ (* l (PI)) 0) |
l |
(PI) |
0 |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(* (PI) l) |
(PI) |
l |
(/ (tan (* (PI) l)) (* F F)) |
(tan (* (PI) l)) |
(* F F) |
F |
(- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) |
(* (PI) l) |
(PI) |
l |
(/ 1 (/ F (/ (tan (* (PI) l)) F))) |
1 |
(/ F (/ (tan (* (PI) l)) F)) |
F |
(/ (tan (* (PI) l)) F) |
(tan (* (PI) l)) |
(- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) |
(* (PI) l) |
(PI) |
l |
(* (exp (* (log F) -2)) (tan (* (PI) l))) |
(exp (* (log F) -2)) |
(* (log F) -2) |
(log F) |
F |
-2 |
(tan (* (PI) l)) |
| Outputs |
|---|
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(/ (/ (tan (* (PI) l)) F) F) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) |
(/ (tan (* (PI) l)) F) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) |
(tan (* (PI) l)) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
F |
(+ (* l (PI)) 0) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
l |
(PI) |
(PI.f64) |
0 |
#s(literal 0 binary64) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(/ (tan (* (PI) l)) (* F F)) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) |
(tan (* (PI) l)) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(* F F) |
(fma.f64 F F #s(literal 0 binary64)) |
F |
(- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(/ 1 (/ F (/ (tan (* (PI) l)) F))) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(/ F (/ (tan (* (PI) l)) F)) |
(/.f64 (fma.f64 F F #s(literal 0 binary64)) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
F |
(/ (tan (* (PI) l)) F) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) |
(tan (* (PI) l)) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(* (exp (* (log F) -2)) (tan (* (PI) l))) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) |
(exp (* (log F) -2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))) |
(* (log F) -2) |
(fma.f64 (log.f64 F) #s(literal -2 binary64) #s(literal 0 binary64)) |
(log F) |
(log.f64 F) |
F |
-2 |
#s(literal -2 binary64) |
(tan (* (PI) l)) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 97.7% | (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
| ✓ | accuracy | 91.9% | (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 56.1% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.6% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 56.1% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.6% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 92.7% | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
| ✓ | accuracy | 56.1% | (PI.f64) |
| ✓ | accuracy | 99.8% | (fma.f64 l (PI.f64) #s(literal 0 binary64)) |
| ✓ | accuracy | 56.1% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.6% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 56.1% | (PI.f64) |
| 934.0ms | 116× | 3 | exit |
| 27.0ms | 140× | 0 | valid |
Compiled 173 to 26 computations (85% saved)
ival-tan: 856.0ms (92% of total)adjust: 14.0ms (1.5% of total)ival-mult: 14.0ms (1.5% of total)ival-div: 13.0ms (1.4% of total)ival-log: 12.0ms (1.3% of total)ival-exp: 8.0ms (0.9% of total)ival-sub: 8.0ms (0.9% of total)ival-pi: 2.0ms (0.2% of total)ival-add: 2.0ms (0.2% of total)exact: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (tan (* (PI) l)) F) F)> |
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))> |
#<alt (PI)> |
#<alt (/ (tan (* (PI) l)) F)> |
#<alt (+ (* l (PI)) 0)> |
#<alt (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))> |
#<alt (/ (tan (* (PI) l)) (* F F))> |
#<alt (tan (* (PI) l))> |
#<alt (/ 1 (/ F (/ (tan (* (PI) l)) F)))> |
#<alt (/ F (/ (tan (* (PI) l)) F))> |
#<alt (- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F))))> |
#<alt (exp (* (log F) -2))> |
#<alt (* (exp (* (log F) -2)) (tan (* (PI) l)))> |
#<alt (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l))))> |
#<alt (* (PI) l)> |
| Outputs |
|---|
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
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#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (+ (* -1 (/ (* (pow F 2) (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (/ (* (pow F 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (PI))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (PI))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | l | @ | inf | (/ (tan (* (PI) l)) F) |
| 1.0ms | l | @ | 0 | (/ F (/ (tan (* (PI) l)) F)) |
| 1.0ms | l | @ | 0 | (/ (tan (* (PI) l)) F) |
| 1.0ms | l | @ | -inf | (/ F (/ (tan (* (PI) l)) F)) |
| 1.0ms | l | @ | inf | (/ F (/ (tan (* (PI) l)) F)) |
| 1× | batch-egg-rewrite |
| 12 608× | accelerator-lowering-fma.f32 |
| 12 608× | accelerator-lowering-fma.f64 |
| 4 282× | /-lowering-/.f32 |
| 4 282× | /-lowering-/.f64 |
| 3 732× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 108 |
| 1 | 153 | 108 |
| 2 | 1422 | 108 |
| 0 | 8456 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (tan (* (PI) l)) F) F) |
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) |
(PI) |
(/ (tan (* (PI) l)) F) |
(+ (* l (PI)) 0) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(/ (tan (* (PI) l)) (* F F)) |
(tan (* (PI) l)) |
(/ 1 (/ F (/ (tan (* (PI) l)) F))) |
(/ F (/ (tan (* (PI) l)) F)) |
(- (* (PI) l) (/ 1 (/ F (/ (tan (* (PI) l)) F)))) |
(exp (* (log F) -2)) |
(* (exp (* (log F) -2)) (tan (* (PI) l))) |
(- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) |
(* (PI) l) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) |
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) F) |
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F F) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) |
(/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F))) |
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (neg.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64)) (*.f64 F F)) |
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(*.f64 (/.f64 (*.f64 l (*.f64 l l)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 l (*.f64 l l)) (*.f64 l l))) |
(*.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 l l)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l l)) (/.f64 (*.f64 l (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l l))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64))) (/.f64 (*.f64 l (*.f64 l l)) l)) |
(*.f64 (/.f64 (*.f64 l (*.f64 l l)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l)) (/.f64 (*.f64 l (*.f64 l l)) (PI.f64))) |
(*.f64 (/.f64 (*.f64 l (*.f64 l l)) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) l)) |
(*.f64 (/.f64 (*.f64 l (*.f64 l l)) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (PI.f64)) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 l l))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 l l)) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64))) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) l)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l)) (/.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 3/2 binary64)) (PI.f64))) |
(*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) (/.f64 (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (PI.f64) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (PI.f64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (PI.f64) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 l #s(literal 1 binary64)) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 l (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 l (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 l (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (sqrt.f64 (PI.f64))) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (/.f64 (*.f64 l l) l)) |
(*.f64 (/.f64 (*.f64 l l) l) (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) |
(*.f64 (/.f64 (*.f64 l l) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) l)) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (/.f64 (*.f64 l l) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 l l) (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 l l) (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (*.f64 l l) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 l l) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 l l) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 l l) #s(literal 1 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 l l) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 l l) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 l l) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 l l) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (PI.f64)) (/.f64 l l)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) #s(literal 1 binary64)) (/.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 l (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 l (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 l (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 l (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 l (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (PI.f64)) (/.f64 (PI.f64) l)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) l) (/.f64 (PI.f64) (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 1 binary64)) (/.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (PI.f64) (*.f64 (cbrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (sqrt.f64 (PI.f64))) (/.f64 (PI.f64) (*.f64 (sqrt.f64 (PI.f64)) l))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 (PI.f64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
| 1× | egg-herbie |
| 12 544× | accelerator-lowering-fma.f32 |
| 12 544× | accelerator-lowering-fma.f64 |
| 6 310× | *-lowering-*.f32 |
| 6 310× | *-lowering-*.f64 |
| 5 364× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 5776 |
| 1 | 688 | 5478 |
| 2 | 2496 | 5027 |
| 0 | 8123 | 4905 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
| Outputs |
|---|
(/ (* l (PI)) (pow F 2)) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/5040 binary64) (*.f64 F F)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F F))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
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(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/5040 binary64) (*.f64 F F)) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F F))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
Compiled 132 859 to 6 687 computations (95% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 625 | 16 | 4 641 |
| Fresh | 7 | 4 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 4 635 | 22 | 4 657 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.6% | (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
| 76.2% | (fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64)) | |
| 76.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) | |
| 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) | |
| 60.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F))) F)) | |
| 67.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) | |
| ✓ | 76.4% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| 67.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))) | |
| ▶ | 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F)))) |
| 74.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| 75.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) | |
| ▶ | 67.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
| ✓ | 74.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 76.2% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 l (*.f64 (cbrt.f64 (PI.f64)) l))) | |
| 76.1% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 l (sqrt.f64 (PI.f64)))) | |
| 76.6% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (PI.f64)) (/.f64 l l)) | |
| ▶ | 76.5% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
| 76.5% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) #s(literal 1 binary64)) (/.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)))) | |
| 39.7% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (PI.f64)) (/.f64 (PI.f64) l)) | |
| 39.8% | (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) | |
| ▶ | 76.7% | (*.f64 (PI.f64) l) |
| 67.1% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
Compiled 618 to 399 computations (35.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 320 | (/.f64 F (/.f64 (*.f64 l (PI.f64)) F)) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) l #s(literal 0 binary64)) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
| ✓ | cost-diff | 512 | (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
| 4 730× | *-lowering-*.f32 |
| 4 730× | *-lowering-*.f64 |
| 3 930× | accelerator-lowering-fma.f32 |
| 3 930× | accelerator-lowering-fma.f64 |
| 2 268× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 148 |
| 1 | 77 | 140 |
| 2 | 228 | 135 |
| 3 | 716 | 131 |
| 4 | 1877 | 130 |
| 5 | 3160 | 130 |
| 6 | 4402 | 130 |
| 7 | 6835 | 130 |
| 0 | 8137 | 130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l)) |
(/ (tan (* (PI) l)) F) |
(tan (* (PI) l)) |
(* (PI) l) |
(PI) |
l |
F |
(/ -1 F) |
-1 |
(* (PI) l) |
(PI) |
l |
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0))) |
(* (PI) l) |
(PI) |
l |
(* (/ 1 (* F F)) (+ (* l (PI)) 0)) |
(/ 1 (* F F)) |
1 |
(* F F) |
F |
(+ (* l (PI)) 0) |
0 |
(* (/ (* (+ (* (PI) l) 0) (PI)) l) (/ l (PI))) |
(/ (* (+ (* (PI) l) 0) (PI)) l) |
(* (+ (* (PI) l) 0) (PI)) |
(+ (* (PI) l) 0) |
(PI) |
l |
0 |
(/ l (PI)) |
(- (* (PI) l) (/ 1 (/ F (/ (* l (PI)) F)))) |
(* (PI) l) |
(PI) |
l |
(/ 1 (/ F (/ (* l (PI)) F))) |
1 |
(/ F (/ (* l (PI)) F)) |
F |
(/ (* l (PI)) F) |
(* l (PI)) |
| Outputs |
|---|
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l)) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F (-.f64 #s(literal 0 binary64) F) #s(literal 0 binary64)))) |
(/ (tan (* (PI) l)) F) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) |
(tan (* (PI) l)) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
F |
(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
-1 |
#s(literal -1 binary64) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0))) |
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(* (/ 1 (* F F)) (+ (* l (PI)) 0)) |
(fma.f64 l (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/ 1 (* F F)) |
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(* F F) |
(fma.f64 F F #s(literal 0 binary64)) |
F |
(+ (* l (PI)) 0) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (/ (* (+ (* (PI) l) 0) (PI)) l) (/ l (PI))) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(/ (* (+ (* (PI) l) 0) (PI)) l) |
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) |
(* (+ (* (PI) l) 0) (PI)) |
(fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* (PI) l) 0) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
0 |
#s(literal 0 binary64) |
(/ l (PI)) |
(/.f64 l (PI.f64)) |
(- (* (PI) l) (/ 1 (/ F (/ (* l (PI)) F)))) |
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(/ 1 (/ F (/ (* l (PI)) F))) |
(fma.f64 l (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ F (/ (* l (PI)) F)) |
(fma.f64 F (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) |
F |
(/ (* l (PI)) F) |
(fma.f64 l (/.f64 (PI.f64) F) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 l (PI.f64)) F) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F))) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.7% | (*.f64 l (PI.f64)) |
| ✓ | accuracy | 99.6% | (/.f64 l (PI.f64)) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) |
| ✓ | accuracy | 99.3% | (*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| ✓ | accuracy | 99.7% | (fma.f64 l (PI.f64) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 85.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 55.7% | (tan.f64 (*.f64 (PI.f64) l)) |
| 162.0ms | 94× | 1 | valid |
| 55.0ms | 140× | 0 | valid |
| 46.0ms | 22× | 2 | valid |
Compiled 164 to 29 computations (82.3% saved)
ival-tan: 137.0ms (64.8% of total)ival-div: 43.0ms (20.3% of total)ival-mult: 15.0ms (7.1% of total)adjust: 5.0ms (2.4% of total)ival-add: 5.0ms (2.4% of total)ival-sub: 3.0ms (1.4% of total)ival-pi: 3.0ms (1.4% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))> |
#<alt (/ (tan (* (PI) l)) F)> |
#<alt (tan (* (PI) l))> |
#<alt (PI)> |
#<alt (* (PI) l)> |
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0)))> |
#<alt (* (/ 1 (* F F)) (+ (* l (PI)) 0))> |
#<alt (/ 1 (* F F))> |
#<alt (/ (* (+ (* (PI) l) 0) (PI)) l)> |
#<alt (* (/ (* (+ (* (PI) l) 0) (PI)) l) (/ l (PI)))> |
#<alt (+ (* (PI) l) 0)> |
#<alt (/ 1 (/ F (/ (* l (PI)) F)))> |
#<alt (- (* (PI) l) (/ 1 (/ F (/ (* l (PI)) F))))> |
#<alt (/ F (/ (* l (PI)) F))> |
#<alt (+ (* l (PI)) 0)> |
#<alt (* (+ (* (PI) l) 0) (PI))> |
#<alt (/ l (PI))> |
#<alt (* l (PI))> |
#<alt (/ (* l (PI)) F)> |
| Outputs |
|---|
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))> |
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (PI))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))> |
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (/ (* l (PI)) F)> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (/ 1 (pow F 2))> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | l | @ | inf | (/ (tan (* (PI) l)) F) |
| 4.0ms | l | @ | inf | (* (+ (* (PI) l) 0) (PI)) |
| 1.0ms | l | @ | 0 | (+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l)) |
| 1.0ms | F | @ | inf | (+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l)) |
| 1.0ms | l | @ | inf | (- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0))) |
| 1× | batch-egg-rewrite |
| 4 762× | accelerator-lowering-fma.f32 |
| 4 762× | accelerator-lowering-fma.f64 |
| 3 830× | /-lowering-/.f32 |
| 3 830× | /-lowering-/.f64 |
| 2 942× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 116 |
| 1 | 206 | 103 |
| 2 | 2021 | 103 |
| 0 | 8389 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l)) |
(/ (tan (* (PI) l)) F) |
(tan (* (PI) l)) |
(PI) |
(* (PI) l) |
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0))) |
(* (/ 1 (* F F)) (+ (* l (PI)) 0)) |
(/ 1 (* F F)) |
(/ (* (+ (* (PI) l) 0) (PI)) l) |
(* (/ (* (+ (* (PI) l) 0) (PI)) l) (/ l (PI))) |
(+ (* (PI) l) 0) |
(/ 1 (/ F (/ (* l (PI)) F))) |
(- (* (PI) l) (/ 1 (/ F (/ (* l (PI)) F)))) |
(/ F (/ (* l (PI)) F)) |
(+ (* l (PI)) 0) |
(* (+ (* (PI) l) 0) (PI)) |
(/ l (PI)) |
(* l (PI)) |
(/ (* l (PI)) F) |
| Outputs |
|---|
(+.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(+.f64 (fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(-.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))))) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal 2 binary64)) (-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))))) |
(fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 l (PI.f64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 l (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (PI.f64))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (/.f64 #s(literal -1 binary64) F) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) F)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 l (PI.f64)) l) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) l) l)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (/.f64 l (PI.f64)) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) l))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (/.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (*.f64 F F)))) #s(literal 0 binary64)) |
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(fma.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))) |
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(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64)) F) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (*.f64 F (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) F))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) (neg.f64 (*.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) (neg.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F))) |
(/.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64)) F)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) F)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) #s(literal 1 binary64)) |
(pow.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 l F)) |
(*.f64 l (/.f64 (PI.f64) F)) |
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F)) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F))) |
(*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) F))) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(*.f64 (/.f64 (PI.f64) F) l) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64)) F) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) F) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (pow.f64 (/.f64 F (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.f64 F (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 19 092× | accelerator-lowering-fma.f32 |
| 19 092× | accelerator-lowering-fma.f64 |
| 7 644× | *-lowering-*.f32 |
| 7 644× | *-lowering-*.f64 |
| 3 630× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 2651 |
| 1 | 558 | 2602 |
| 2 | 1824 | 2463 |
| 0 | 8167 | 2441 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ (* l (PI)) F) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* l (PI)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(/ 1 (pow F 2)) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
| Outputs |
|---|
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal -1/3 binary64))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))) |
(*.f64 l (fma.f64 (*.f64 l l) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal -1/3 binary64))) (*.f64 (*.f64 l l) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 F F)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))) |
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (fma.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 F F)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 F F)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal -1/3 binary64))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(*.f64 l (fma.f64 l (/.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) F) (/.f64 (PI.f64) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) F) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F))) (/.f64 (PI.f64) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))) F) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) F) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F))) (/.f64 (PI.f64) F))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (-.f64 (fma.f64 (*.f64 l l) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (PI.f64))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
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(*.f64 l (PI.f64)) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
(/ (* l (PI)) F) |
(/.f64 (*.f64 l (PI.f64)) F) |
Compiled 83 645 to 6 275 computations (92.5% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 483 | 14 | 3 497 |
| Fresh | 9 | 6 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 3 496 | 23 | 3 519 |
| Status | Accuracy | Program |
|---|---|---|
| 75.1% | (fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) | |
| ▶ | 83.6% | (fma.f64 (/.f64 (tan.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64)))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
| 76.6% | (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) | |
| 39.7% | (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) | |
| 76.5% | (/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (-.f64 #s(literal 0 binary64) l))) (PI.f64)) | |
| 76.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) | |
| ▶ | 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
| 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 F (PI.f64)))) | |
| 67.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) | |
| ✓ | 76.4% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| 48.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) | |
| 75.0% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 l (PI.f64)))))) | |
| 74.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| ▶ | 75.0% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F))) |
| ✓ | 74.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| ▶ | 76.6% | (*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| 39.8% | (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) | |
| 76.2% | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) | |
| 76.5% | (*.f64 (*.f64 (PI.f64) (*.f64 l (/.f64 (PI.f64) l))) (/.f64 l (PI.f64))) | |
| ▶ | 76.6% | (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
| 67.9% | (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) | |
| ✓ | 76.7% | (*.f64 (PI.f64) l) |
| 67.1% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
Compiled 615 to 389 computations (36.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) F) l) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 l (PI.f64)) F) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
| ✓ | cost-diff | 384 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) l #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1408 | (*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | cost-diff | -64 | (*.f64 (PI.f64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 l (PI.f64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64)))) F) |
| ✓ | cost-diff | 512 | (fma.f64 (/.f64 (tan.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64)))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64))) |
| ✓ | cost-diff | 1088 | (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) |
| 7 136× | accelerator-lowering-fma.f32 |
| 7 136× | accelerator-lowering-fma.f64 |
| 4 640× | *-lowering-*.f32 |
| 4 640× | *-lowering-*.f64 |
| 1 678× | times-frac |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 253 |
| 1 | 83 | 251 |
| 2 | 214 | 198 |
| 3 | 625 | 142 |
| 4 | 2550 | 141 |
| 5 | 4412 | 141 |
| 6 | 5996 | 141 |
| 0 | 8075 | 141 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) (/ -1 F)) (* (PI) l)) |
(/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) |
(tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) |
(* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI))) |
(/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) |
(+ (* (PI) (+ (* (PI) l) 0)) 0) |
(PI) |
(+ (* (PI) l) 0) |
l |
0 |
(/ l (PI)) |
F |
(/ -1 F) |
-1 |
(* (PI) l) |
(* (* (PI) (PI)) (/ l (PI))) |
(* (PI) (PI)) |
(PI) |
(/ l (PI)) |
l |
(* (+ (* (PI) (+ (* (PI) l) 0)) 0) (/ 1 (PI))) |
(+ (* (PI) (+ (* (PI) l) 0)) 0) |
(PI) |
(+ (* (PI) l) 0) |
l |
0 |
(/ 1 (PI)) |
1 |
(- (* (PI) l) (/ (/ (* l (PI)) F) F)) |
(* (PI) l) |
(PI) |
l |
(/ (/ (* l (PI)) F) F) |
(/ (* l (PI)) F) |
(* l (PI)) |
F |
(- (* (PI) l) (* (* (/ 1 F) l) (/ (PI) F))) |
(* (PI) l) |
(PI) |
l |
(* (* (/ 1 F) l) (/ (PI) F)) |
(* (/ 1 F) l) |
(/ 1 F) |
1 |
F |
(/ (PI) F) |
| Outputs |
|---|
(+ (* (/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) (/ -1 F)) (* (PI) l)) |
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))) |
(/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) |
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) |
(tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) |
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI))) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) |
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) |
(+ (* (PI) (+ (* (PI) l) 0)) 0) |
(fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
(+ (* (PI) l) 0) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
l |
0 |
#s(literal 0 binary64) |
(/ l (PI)) |
(/.f64 l (PI.f64)) |
F |
(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
-1 |
#s(literal -1 binary64) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(* (* (PI) (PI)) (/ l (PI))) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(* (PI) (PI)) |
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
(/ l (PI)) |
(/.f64 l (PI.f64)) |
l |
(* (+ (* (PI) (+ (* (PI) l) 0)) 0) (/ 1 (PI))) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(+ (* (PI) (+ (* (PI) l) 0)) 0) |
(fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
(+ (* (PI) l) 0) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
l |
0 |
#s(literal 0 binary64) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(- (* (PI) l) (/ (/ (* l (PI)) F) F)) |
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(/ (/ (* l (PI)) F) F) |
(fma.f64 l (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/ (* l (PI)) F) |
(fma.f64 l (/.f64 (PI.f64) F) #s(literal 0 binary64)) |
(* l (PI)) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
F |
(- (* (PI) l) (* (* (/ 1 F) l) (/ (PI) F))) |
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64)) |
(* (PI) l) |
(fma.f64 (PI.f64) l #s(literal 0 binary64)) |
(PI) |
(PI.f64) |
l |
(* (* (/ 1 F) l) (/ (PI) F)) |
(fma.f64 l (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (/ 1 F) l) |
(/.f64 l F) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
1 |
#s(literal 1 binary64) |
F |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) F) l) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F)) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) F) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 l (PI.f64)) F) |
| ✓ | accuracy | 99.7% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.7% | (*.f64 l (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (fma.f64 (PI.f64) l #s(literal 0 binary64)) |
| ✓ | accuracy | 99.5% | (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (*.f64 (PI.f64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (/.f64 l (PI.f64)) |
| ✓ | accuracy | 99.3% | (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
| ✓ | accuracy | 99.5% | (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) |
| ✓ | accuracy | 99.3% | (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64))) |
| ✓ | accuracy | 55.7% | (tan.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64)))) |
| 129.0ms | 94× | 1 | valid |
| 46.0ms | 22× | 2 | valid |
| 39.0ms | 140× | 0 | valid |
Compiled 218 to 33 computations (84.9% saved)
ival-tan: 119.0ms (63.8% of total)ival-div: 25.0ms (13.4% of total)ival-mult: 22.0ms (11.8% of total)ival-add: 10.0ms (5.4% of total)adjust: 5.0ms (2.7% of total)ival-sub: 3.0ms (1.6% of total)ival-pi: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l)> |
#<alt (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))> |
#<alt (+ (* (/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) (/ -1 F)) (* (PI) l))> |
#<alt (/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F)> |
#<alt (* (* (PI) (PI)) (/ l (PI)))> |
#<alt (PI)> |
#<alt (/ l (PI))> |
#<alt (* (PI) (PI))> |
#<alt (* (+ (* (PI) (+ (* (PI) l) 0)) 0) (/ 1 (PI)))> |
#<alt (+ (* (PI) (+ (* (PI) l) 0)) 0)> |
#<alt (+ (* (PI) l) 0)> |
#<alt (- (* (PI) l) (/ (/ (* l (PI)) F) F))> |
#<alt (/ (/ (* l (PI)) F) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (- (* (PI) l) (* (* (/ 1 F) l) (/ (PI) F)))> |
#<alt (* (/ 1 F) l)> |
#<alt (* (* (/ 1 F) l) (/ (PI) F))> |
#<alt (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI))))> |
#<alt (* l (PI))> |
#<alt (* (PI) l)> |
#<alt (/ (PI) F)> |
| Outputs |
|---|
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (pow (PI) 2)> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))> |
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (PI))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))> |
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (/ (* l (PI)) F)> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (/ l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (pow (PI) 2))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ l F)> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | l | @ | -inf | (* (/ 1 F) l) |
| 0.0ms | F | @ | inf | (* (/ 1 F) l) |
| 0.0ms | l | @ | 0 | (* (/ 1 F) l) |
| 0.0ms | F | @ | 0 | (* (/ 1 F) l) |
| 0.0ms | F | @ | -inf | (* (/ 1 F) l) |
| 1× | batch-egg-rewrite |
| 6 318× | accelerator-lowering-fma.f32 |
| 6 318× | accelerator-lowering-fma.f64 |
| 4 818× | /-lowering-/.f32 |
| 4 818× | /-lowering-/.f64 |
| 3 484× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 182 |
| 1 | 215 | 107 |
| 2 | 2440 | 107 |
| 0 | 8611 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) |
(* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI))) |
(+ (* (/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) (/ -1 F)) (* (PI) l)) |
(/ (tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) F) |
(* (* (PI) (PI)) (/ l (PI))) |
(PI) |
(/ l (PI)) |
(* (PI) (PI)) |
(* (+ (* (PI) (+ (* (PI) l) 0)) 0) (/ 1 (PI))) |
(+ (* (PI) (+ (* (PI) l) 0)) 0) |
(+ (* (PI) l) 0) |
(- (* (PI) l) (/ (/ (* l (PI)) F) F)) |
(/ (/ (* l (PI)) F) F) |
(/ (* l (PI)) F) |
(- (* (PI) l) (* (* (/ 1 F) l) (/ (PI) F))) |
(* (/ 1 F) l) |
(* (* (/ 1 F) l) (/ (PI) F)) |
(tan (* (/ (+ (* (PI) (+ (* (PI) l) 0)) 0) l) (/ l (PI)))) |
(* l (PI)) |
(* (PI) l) |
(/ (PI) F) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 #s(literal 0 binary64) l)) |
(-.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) l)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) l)) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) l))) |
(neg.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) l))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) l)) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) |
(/.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
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(*.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) l)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))))) |
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(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) l)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
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(*.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) l)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) l)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 l (pow.f64 (PI.f64) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 l (pow.f64 (PI.f64) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (sqrt.f64 (PI.f64))) (/.f64 l (sqrt.f64 (PI.f64)))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) |
(*.f64 (neg.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) |
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (PI.f64)) |
(*.f64 (*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 #s(literal 0 binary64) l)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (-.f64 #s(literal 0 binary64) l)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (*.f64 (/.f64 l (PI.f64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l)) |
(*.f64 (*.f64 (/.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) l))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (/.f64 l (sqrt.f64 (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 F (PI.f64))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 F) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 F) #s(literal -1 binary64) (log.f64 (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) F)) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) F))) |
(neg.f64 (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) F))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) F)) |
(/.f64 (PI.f64) F) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 F (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (*.f64 (PI.f64) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F)))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(pow.f64 (/.f64 F (PI.f64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 F (PI.f64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) F)) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (*.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F)) |
| 1× | egg-herbie |
| 19 092× | accelerator-lowering-fma.f32 |
| 19 092× | accelerator-lowering-fma.f64 |
| 7 630× | *-lowering-*.f32 |
| 7 630× | *-lowering-*.f64 |
| 3 630× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 2567 |
| 1 | 553 | 2518 |
| 2 | 1808 | 2379 |
| 0 | 8156 | 2357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(pow (PI) 2) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(/ (* l (PI)) F) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(/ l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (pow (PI) 2)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ l F) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (PI)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
| Outputs |
|---|
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))) |
(*.f64 l (-.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 (-.f64 #s(literal 0 binary64) l) (fma.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F))))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 F F)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)))) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ l F) |
(/.f64 l F) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(/ (* l (PI)) (pow F 2)) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F F))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))))))) (PI.f64))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
Compiled 195 447 to 13 727 computations (93% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 7 012 | 6 | 7 018 |
| Fresh | 8 | 7 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 7 023 | 18 | 7 041 |
| Status | Accuracy | Program |
|---|---|---|
| 75.1% | (fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) | |
| 76.6% | (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) | |
| ✓ | 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
| 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) | |
| 75.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) | |
| 67.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) | |
| ✓ | 76.4% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| 48.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) | |
| 74.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) | |
| ✓ | 74.8% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
| 75.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)))) | |
| 39.8% | (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) | |
| 76.8% | (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| ✓ | 76.6% | (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
| 76.7% | (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) | |
| 67.9% | (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) | |
| ✓ | 76.7% | (*.f64 (PI.f64) l) |
| 67.1% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
Compiled 954 to 328 computations (65.6% saved)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(*.f64 (*.f64 (PI.f64) (*.f64 l (/.f64 (PI.f64) l))) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (PI.f64)) (/.f64 (PI.f64) l)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (PI.f64)) (/.f64 l l)) |
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 l (PI.f64)))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) #s(literal 1 binary64)) (/.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (-.f64 #s(literal 0 binary64) l))) (PI.f64)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 F (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) |
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 l (sqrt.f64 (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F))) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) |
(fma.f64 (/.f64 (tan.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (/.f64 l (PI.f64)))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 l (*.f64 (cbrt.f64 (PI.f64)) l))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(fma.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
6 calls:
| 47.0ms | F |
| 25.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 15.0ms | (*.f64 (PI.f64) l) |
| 14.0ms | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 14.0ms | (*.f64 F F) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | F |
| 99.6% | 2 | l |
| 91.2% | 2 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 99.6% | 2 | (*.f64 (PI.f64) l) |
| 83.6% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 83.6% | 1 | (*.f64 F F) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(*.f64 (*.f64 (PI.f64) (*.f64 l (/.f64 (PI.f64) l))) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (PI.f64)) (/.f64 (PI.f64) l)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (PI.f64)) (/.f64 l l)) |
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 l (PI.f64)))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) #s(literal 1 binary64)) (/.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) l) (-.f64 #s(literal 0 binary64) l))) (PI.f64)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (PI.f64)) F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 F (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) |
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64)))) (/.f64 l (sqrt.f64 (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F))) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
2 calls:
| 14.0ms | (*.f64 (PI.f64) l) |
| 12.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | l |
| 99.3% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(*.f64 (*.f64 (PI.f64) (*.f64 l (/.f64 (PI.f64) l))) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 (*.f64 l l) (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) (PI.f64)) (/.f64 (PI.f64) l)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) l) (/.f64 l (PI.f64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (PI.f64)) (PI.f64)) (/.f64 l l)) |
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (/.f64 (PI.f64) F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (*.f64 l (PI.f64)))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
2 calls:
| 9.0ms | l |
| 8.0ms | (*.f64 (PI.f64) l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | l |
| 99.3% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) l) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))) |
| Outputs |
|---|
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64))) |
2 calls:
| 5.0ms | l |
| 5.0ms | (*.f64 (PI.f64) l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 2 | l |
| 92.2% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) |
| Outputs |
|---|
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (PI.f64) l) |
2 calls:
| 3.0ms | (*.f64 (PI.f64) l) |
| 3.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | l |
| 92.1% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| Outputs |
|---|
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) l) |
2 calls:
| 8.0ms | (*.f64 (PI.f64) l) |
| 2.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 2 | l |
| 91.3% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
Total -0.2b remaining (-1.2%)
Threshold costs -0.2b (-1.2%)
| Inputs |
|---|
(*.f64 (PI.f64) l) |
(fma.f64 l (PI.f64) #s(literal 0 binary64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 l (PI.f64))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64)) (PI.f64)) |
| Outputs |
|---|
(*.f64 (PI.f64) l) |
6 calls:
| 3.0ms | F |
| 2.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 2.0ms | (*.f64 (PI.f64) l) |
| 2.0ms | l |
| 2.0ms | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 76.7% | 1 | F |
| 76.7% | 1 | (*.f64 F F) |
| 76.7% | 1 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 76.7% | 1 | l |
| 76.7% | 1 | (*.f64 (PI.f64) l) |
Compiled 39 to 26 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32660.3509972799 | 1021510077.6458596 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32660.3509972799 | 1021510077.6458596 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32660.3509972799 | 1021510077.6458596 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32660.3509972799 | 1021510077.6458596 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32660.3509972799 | 1021510077.6458596 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 32660.3509972799 | 1021510077.6458596 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 40× | *-commutative_binary64 |
| 38× | +-commutative_binary64 |
| 38× | sub-neg_binary64 |
| 28× | neg-sub0_binary64 |
| 28× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 142 |
| 1 | 54 | 142 |
| 2 | 88 | 142 |
| 3 | 127 | 142 |
| 4 | 150 | 142 |
| 5 | 160 | 142 |
| 6 | 161 | 142 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(*.f64 (PI.f64) l) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (*.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(*.f64 (PI.f64) l) |
| 19 092× | accelerator-lowering-fma.f32 |
| 19 092× | accelerator-lowering-fma.f64 |
| 17 378× | accelerator-lowering-fma.f32 |
| 17 378× | accelerator-lowering-fma.f64 |
| 12 608× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1418 |
| 1 | 432 | 1331 |
| 2 | 1450 | 1227 |
| 3 | 6920 | 1158 |
| 0 | 8507 | 1124 |
| 0 | 10 | 37 |
| 1 | 63 | 31 |
| 2 | 460 | 31 |
| 3 | 6645 | 31 |
| 0 | 8167 | 31 |
| 0 | 186 | 2651 |
| 1 | 558 | 2602 |
| 2 | 1824 | 2463 |
| 0 | 8167 | 2441 |
| 0 | 27 | 116 |
| 1 | 206 | 103 |
| 2 | 2021 | 103 |
| 0 | 8389 | 102 |
| 0 | 234 | 5776 |
| 1 | 688 | 5478 |
| 2 | 2496 | 5027 |
| 0 | 8123 | 4905 |
| 0 | 31 | 182 |
| 1 | 215 | 107 |
| 2 | 2440 | 107 |
| 0 | 8611 | 106 |
| 0 | 24 | 108 |
| 1 | 153 | 108 |
| 2 | 1422 | 108 |
| 0 | 8456 | 108 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 404 to 219 computations (45.8% saved)
(abs F)
Compiled 494 to 186 computations (62.3% saved)
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