
Time bar (total: 16.8s)
| 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)
| 3.4s | 3 788× | 1 | valid |
| 703.0ms | 4 410× | 0 | valid |
| 131.0ms | 58× | 2 | valid |
| 1.0ms | 3× | 4 | exit |
ival-tan: 3.1s (84.9% of total)ival-mult: 283.0ms (7.6% of total)ival-div: 87.0ms (2.4% of total)ival-pi: 63.0ms (1.7% of total)ival-sub: 56.0ms (1.5% of total)adjust: 53.0ms (1.4% 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)| 1× | 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 | 26 | 74 |
| 1 | 78 | 62 |
| 2 | 237 | 60 |
| 3 | 641 | 60 |
| 4 | 1124 | 60 |
| 5 | 1517 | 60 |
| 6 | 1755 | 60 |
| 7 | 1808 | 60 |
| 8 | 1818 | 60 |
| 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 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(abs F)
(negabs l)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (tan.f64 (*.f64 (PI.f64) l)) |
| 50 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| 3 | 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 | 126 | 0 |
*.f64 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) | n*o | 20 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 0 |
| - | 81 | 110 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 0 |
| - | 81 | 0 | 110 |
| number | freq |
|---|---|
| 0 | 110 |
| 1 | 146 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 154.0ms | 160× | 1 | valid |
| 121.0ms | 64× | 2 | valid |
| 89.0ms | 22× | 3 | valid |
| 28.0ms | 266× | 0 | valid |
Compiled 122 to 44 computations (63.9% saved)
ival-tan: 323.0ms (89.8% of total)ival-mult: 17.0ms (4.7% of total)adjust: 5.0ms (1.4% of total)ival-div: 5.0ms (1.4% of total)ival-pi: 4.0ms (1.1% of total)ival-sub: 4.0ms (1.1% 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 |
|---|---|---|
| ▶ | 76.1% | (-.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 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | 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 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ 1 (* F F)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
1 |
#s(literal 1 binary64) |
(* F F) |
(*.f64 F F) |
F |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| ✓ | accuracy | 81.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 53.0% | (tan.f64 (*.f64 (PI.f64) l)) |
| 63.0ms | 32× | 2 | valid |
| 63.0ms | 80× | 1 | valid |
| 53.0ms | 11× | 3 | valid |
| 10.0ms | 133× | 0 | valid |
Compiled 45 to 12 computations (73.3% saved)
ival-tan: 159.0ms (90.3% of total)ival-mult: 8.0ms (4.5% of total)ival-div: 3.0ms (1.7% of total)adjust: 2.0ms (1.1% of total)ival-pi: 2.0ms (1.1% of total)ival-sub: 2.0ms (1.1% 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) l)> |
#<alt (PI)> |
#<alt (tan (* (PI) l))> |
#<alt (/ 1 (* F F))> |
| 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 (* 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 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 (/ 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))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | F | @ | 0 | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 2.0ms | l | @ | 0 | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 2.0ms | l | @ | inf | (* (/ 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) l) |
(PI) |
(tan (* (PI) l)) |
(/ 1 (* F F)) |
| Outputs |
|---|
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.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)) (neg.f64 (*.f64 F F))) (neg.f64 (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))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) |
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(/.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 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (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 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 F F)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 F F)))) |
(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) (neg.f64 (*.f64 F F))) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (neg.f64 F))) |
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (neg.f64 F)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (neg.f64 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)) |
| 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 | 6916 | 1158 |
| 0 | 8505 | 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))) |
(* 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 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)))) |
(/ 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)) |
| Outputs |
|---|
(/ (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)) (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 l (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) l)) (*.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 l (*.f64 l (/.f64 (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 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) (neg.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (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 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F))))) (/.f64 (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 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 (PI.f64) (*.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 (-.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (neg.f64 (/.f64 (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 F F)))) (/.f64 (*.f64 (PI.f64) (*.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))) (* (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 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F)) #s(literal -1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (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 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F)))) (neg.f64 (/.f64 (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 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 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* 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) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* 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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* 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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* 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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* 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)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (neg.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)) |
(* 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 (*.f64 l 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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (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 (*.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 (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) (PI.f64)) #s(literal 1/2 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))))) (*.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)))) |
(/.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)))) |
(/.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)))) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 (pow F 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
Compiled 12 757 to 1 240 computations (90.3% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 18 | 476 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 459 | 18 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| 83.3% | (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) | |
| 76.6% | (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)) (neg.f64 (*.f64 F F)))) | |
| 65.5% | (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) | |
| 76.7% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) | |
| 40.3% | (/.f64 (-.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))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) | |
| 76.7% | (/.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))))) | |
| ▶ | 75.7% | (-.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)))) |
| 83.3% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) | |
| 83.2% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))) | |
| ▶ | 83.3% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))) |
| 68.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) | |
| ▶ | 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) |
| ▶ | 50.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (PI.f64))))) |
| 52.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) | |
| 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))) | |
| 40.3% | (*.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)))) | |
| 68.0% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) | |
| ▶ | 77.0% | (*.f64 l (PI.f64)) |
Compiled 800 to 438 computations (45.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) |
| ✓ | cost-diff | 0 | (-.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)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) F) F) |
| ✓ | cost-diff | 320 | (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (PI.f64)))) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (PI.f64))))) |
| ✓ | cost-diff | 1664 | (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)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 l (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))) |
| ✓ | cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)) |
| 10 024× | accelerator-lowering-fma.f32 |
| 10 024× | accelerator-lowering-fma.f64 |
| 6 184× | *-lowering-*.f32 |
| 6 184× | *-lowering-*.f64 |
| 1 476× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 477 |
| 1 | 142 | 371 |
| 2 | 503 | 345 |
| 3 | 2021 | 345 |
| 4 | 6667 | 345 |
| 0 | 8502 | 336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (neg F))) |
(* (PI) l) |
(PI) |
l |
(/ (* (/ -1 F) (tan (* (PI) l))) (neg F)) |
(* (/ -1 F) (tan (* (PI) l))) |
(/ -1 F) |
-1 |
F |
(tan (* (PI) l)) |
(neg F) |
(* l (PI)) |
l |
(PI) |
(- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))))) |
(* (PI) l) |
(PI) |
l |
(* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)))) |
(/ 1 (* F F)) |
1 |
(* F F) |
F |
(* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))) |
(+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)) |
(* l l) |
(+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6))))) |
(* (* (PI) (PI)) 1/3) |
(* (PI) (PI)) |
1/3 |
(* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))) |
(+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6))) |
(* (PI) (* (PI) (* (PI) (* (PI) (PI))))) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
-1/30 |
(* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)) |
(* (* (PI) (* (PI) (PI))) 1/6) |
1/6 |
(- (* (PI) l) (* (/ (/ 1 F) F) (tan (* (PI) l)))) |
(* (PI) l) |
(PI) |
l |
(* (/ (/ 1 F) F) (tan (* (PI) l))) |
(/ (/ 1 F) F) |
(/ 1 F) |
1 |
F |
(tan (* (PI) l)) |
(- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(PI) |
(sqrt (PI)) |
(sqrt (sqrt (PI))) |
l |
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(/ 1 (* F F)) |
1 |
(* F F) |
F |
(tan (* (PI) l)) |
(* (PI) l) |
| Outputs |
|---|
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (neg F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(/ (* (/ -1 F) (tan (* (PI) l))) (neg F)) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(* (/ -1 F) (tan (* (PI) l))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) |
(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
-1 |
#s(literal -1 binary64) |
F |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(neg F) |
(neg.f64 F) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
l |
(PI) |
(PI.f64) |
(- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))))) (PI.f64)) (*.f64 F F)))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)))) |
(/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))))) (PI.f64))) (*.f64 F F)) |
(/ 1 (* F F)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
1 |
#s(literal 1 binary64) |
(* F F) |
(*.f64 F F) |
F |
(* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))) |
(*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))))) (PI.f64))) |
(+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)) |
(fma.f64 l (*.f64 l (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))))) (PI.f64)) |
(* l l) |
(*.f64 l l) |
(+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6))))) |
(*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64))))) |
(* (* (PI) (PI)) 1/3) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
1/3 |
#s(literal 1/3 binary64) |
(* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))) |
(*.f64 l (*.f64 #s(literal 2/15 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) |
(+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6))) |
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64))) |
(* (PI) (* (PI) (* (PI) (* (PI) (PI))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
-1/30 |
#s(literal -1/30 binary64) |
(* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)) |
(* (* (PI) (* (PI) (PI))) 1/6) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(- (* (PI) l) (* (/ (/ 1 F) F) (tan (* (PI) l)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(* (/ (/ 1 F) F) (tan (* (PI) l))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (/ 1 F) F) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
1 |
#s(literal 1 binary64) |
F |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) |
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(* (PI) (sqrt (PI))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(sqrt (sqrt (PI))) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
l |
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ 1 (* F F)) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
1 |
#s(literal 1 binary64) |
(* F F) |
(*.f64 F F) |
F |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 81.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 53.0% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) F) F) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 81.1% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 53.0% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 98.4% | (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 82.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (PI.f64)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 l (PI.f64)) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 53.0% | (tan.f64 (*.f64 (PI.f64) l)) |
| 129.0ms | 79× | 1 | valid |
| 83.0ms | 34× | 2 | valid |
| 76.0ms | 133× | 0 | valid |
| 57.0ms | 10× | 3 | valid |
Compiled 508 to 50 computations (90.2% saved)
ival-tan: 155.0ms (50.9% of total)ival-mult: 87.0ms (28.5% of total)const: 15.0ms (4.9% of total)ival-div: 13.0ms (4.3% of total)adjust: 10.0ms (3.3% of total)ival-sqrt: 9.0ms (3% of total)ival-sub: 7.0ms (2.3% of total)ival-add: 5.0ms (1.6% of total)ival-pi: 2.0ms (0.7% of total)ival-neg: 2.0ms (0.7% 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) (tan (* (PI) l))) (neg F))> |
#<alt (* (/ -1 F) (tan (* (PI) l)))> |
#<alt (- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (neg F)))> |
#<alt (* (PI) l)> |
#<alt (* l (PI))> |
#<alt (PI)> |
#<alt (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))> |
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)))))> |
#<alt (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))))> |
#<alt (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))> |
#<alt (/ (/ 1 F) F)> |
#<alt (* (/ (/ 1 F) F) (tan (* (PI) l)))> |
#<alt (- (* (PI) l) (* (/ (/ 1 F) F) (tan (* (PI) l))))> |
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))> |
#<alt (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l))))> |
#<alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)> |
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))> |
#<alt (tan (* (PI) l))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (* (PI) (* (PI) (* (PI) (PI))))> |
#<alt (* (* (PI) (PI)) 1/3)> |
#<alt (sqrt (PI))> |
| 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))))> |
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#<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 (/ (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))> |
#<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))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | l | @ | -inf | (- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (neg F))) |
| 4.0ms | F | @ | 0 | (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)))) |
| 3.0ms | l | @ | 0 | (* (/ -1 F) (tan (* (PI) l))) |
| 2.0ms | F | @ | 0 | (- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))))) |
| 2.0ms | l | @ | -inf | (- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))))) |
| 1× | batch-egg-rewrite |
| 5 106× | *-lowering-*.f32 |
| 5 106× | *-lowering-*.f64 |
| 4 434× | accelerator-lowering-fma.f32 |
| 4 434× | accelerator-lowering-fma.f64 |
| 3 048× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 259 |
| 1 | 280 | 176 |
| 2 | 2606 | 176 |
| 0 | 8177 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ -1 F) (tan (* (PI) l))) (neg F)) |
(* (/ -1 F) (tan (* (PI) l))) |
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (neg F))) |
(* (PI) l) |
(* l (PI)) |
(PI) |
(+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6))) |
(- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI))))) |
(* (/ 1 (* F F)) (* l (+ (* (* l l) (+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6)))))) (PI)))) |
(+ (* (PI) (* (* (PI) (PI)) 1/3)) (* (* l l) (+ (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) -1/30) (* (* (PI) (PI)) (* (* (PI) (* (PI) (PI))) 1/6))))) |
(/ (/ 1 F) F) |
(* (/ (/ 1 F) F) (tan (* (PI) l))) |
(- (* (PI) l) (* (/ (/ 1 F) F) (tan (* (PI) l)))) |
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(tan (* (PI) l)) |
(* (PI) (* (PI) (PI))) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (* (PI) (PI)) 1/3) |
(sqrt (PI)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) |
(-.f64 (/.f64 #s(literal 0 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal 1 binary64)) (neg.f64 F)) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal -1 binary64)) F) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) F) |
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal 1 binary64))) F) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 (*.f64 F (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l))))) |
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(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 3 binary64) (log.f64 (PI.f64)))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) |
(pow.f64 (PI.f64) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 8 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 12 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 10/3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) |
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (PI.f64)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| 1× | egg-herbie |
| 13 912× | accelerator-lowering-fma.f32 |
| 13 912× | accelerator-lowering-fma.f64 |
| 7 210× | *-lowering-*.f32 |
| 7 210× | *-lowering-*.f64 |
| 4 268× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 5664 |
| 1 | 918 | 5442 |
| 2 | 3365 | 5242 |
| 0 | 8872 | 5054 |
| 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))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (* l (PI)) F)) |
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F)))) |
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))))))) |
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (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)) |
(* 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) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (* 1/6 (/ (pow (PI) 5) (pow F 2)))))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (* 1/6 (/ (pow (PI) 5) (pow F 2)))))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* -1 (* (pow l 5) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (* 1/6 (/ (pow (PI) 5) (pow F 2)))))) |
(* (pow l 5) (- (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (* 1/6 (/ (pow (PI) 5) (pow F 2)))))) |
(* (pow l 5) (- (/ (PI) (pow l 4)) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/6 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (/ (PI) (* (pow F 2) (pow l 4)))))))) |
(* (pow l 5) (- (/ (PI) (pow l 4)) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/6 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (/ (PI) (* (pow F 2) (pow l 4)))))))) |
(* -1 (/ (* (pow l 5) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))) (pow F 2))) |
(* -1 (* (pow l 5) (- (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (* -1 (/ (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))) (pow F 2)))))) |
(* -1 (* (pow l 5) (- (* -1 (/ (PI) (pow l 4))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 4)))) (+ (* -1 (/ (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2))))))))) |
(* -1 (* (pow l 5) (- (* -1 (/ (PI) (pow l 4))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 4)))) (+ (* -1 (/ (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2))))))))) |
(* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))))))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))))))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))))))))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2))) (* l (PI))) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (+ (PI) (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))))))) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (* 1/6 (/ (pow (PI) 5) (pow F 2))))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (* 1/6 (/ (pow (PI) 5) (pow F 2))))))) (/ (PI) (pow F 2)))) |
(/ (* (pow l 5) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))) (pow F 2)) |
(* (pow l 5) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/6 (/ (pow (PI) 5) (pow F 2))) (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2))))))) |
(* (pow l 5) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/6 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (/ (PI) (* (pow F 2) (pow l 4))))))) |
(* (pow l 5) (+ (* -1/30 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/6 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (/ (PI) (* (pow F 2) (pow l 4))))))) |
(/ (* (pow l 5) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))) (pow F 2)) |
(* -1 (* (pow l 5) (+ (* -1 (/ (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2))))))) |
(* -1 (* (pow l 5) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 4)))) (+ (* -1 (/ (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))))))) |
(* -1 (* (pow l 5) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 4)))) (+ (* -1 (/ (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))))))) |
(* 1/3 (pow (PI) 3)) |
(+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))))) |
(+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))))) |
(+ (* 1/3 (pow (PI) 3)) (* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5))))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (+ (* 1/6 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2)))))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (+ (* 1/6 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2)))))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (+ (* 1/6 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2)))))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (* 1/6 (pow (PI) 5)))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (+ (* 1/6 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2)))))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (+ (* 1/6 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2)))))) |
(* (pow l 2) (+ (* -1/30 (pow (PI) 5)) (+ (* 1/6 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 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)) |
(/ (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))) |
(/ (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)) |
(* 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)))) |
| Outputs |
|---|
(/ (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))))) |
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(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.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 l (*.f64 (*.f64 F F) (cos.f64 (*.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 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))) |
(/ (- (* (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)) |
(* 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) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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 (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) (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)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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)))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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 (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)))) |
(/.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)))) |
(/.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)))) |
Compiled 102 670 to 10 845 computations (89.4% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 704 | 13 | 2 717 |
| Fresh | 9 | 4 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 716 | 19 | 2 735 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.3% | (fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
| 50.1% | (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) l (*.f64 (PI.f64) l)) | |
| 76.7% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) | |
| 50.8% | (fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) (*.f64 F F)))) | |
| 75.2% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) | |
| ▶ | 83.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (neg.f64 F))) |
| 61.1% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) | |
| 68.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) | |
| 75.2% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) | |
| ▶ | 52.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
| ✓ | 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) |
| 52.7% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) | |
| 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))) | |
| 19.6% | (*.f64 (pow.f64 l #s(literal 5 binary64)) (-.f64 (/.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 l l))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F (*.f64 F (*.f64 l l)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 l l)))))))) | |
| 77.0% | (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) | |
| 77.0% | (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) | |
| ▶ | 68.0% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ▶ | 76.5% | (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| ✓ | 77.0% | (*.f64 l (PI.f64)) |
Compiled 829 to 496 computations (40.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) |
| ✓ | cost-diff | 704 | (fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
| ✓ | cost-diff | 960 | (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) F) F) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | cost-diff | 0 | (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
| ✓ | cost-diff | 0 | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (neg.f64 F))) |
| ✓ | cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (neg.f64 F)) |
| ✓ | cost-diff | 1600 | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| 10 618× | accelerator-lowering-fma.f32 |
| 10 618× | accelerator-lowering-fma.f64 |
| 4 948× | *-lowering-*.f32 |
| 4 948× | *-lowering-*.f64 |
| 1 696× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 414 |
| 1 | 148 | 392 |
| 2 | 476 | 367 |
| 3 | 2126 | 365 |
| 4 | 5350 | 364 |
| 0 | 8242 | 352 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F))) |
(* (PI) l) |
(PI) |
l |
(/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F)) |
(* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) |
(/ -1 F) |
-1 |
F |
(tan (* (* (sqrt (PI)) (sqrt (PI))) l)) |
(* (* (sqrt (PI)) (sqrt (PI))) l) |
(* (sqrt (PI)) (sqrt (PI))) |
(sqrt (PI)) |
(neg F) |
(* l (- (PI) (/ (PI) (* F F)))) |
l |
(- (PI) (/ (PI) (* F F))) |
(PI) |
(/ (PI) (* F F)) |
(* F F) |
F |
(* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
l |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(PI) |
(sqrt (PI)) |
(sqrt (sqrt (PI))) |
(- (* (PI) l) (* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI))))) |
(* (PI) l) |
(PI) |
l |
(* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI)))) |
(/ (/ 1 F) F) |
(/ 1 F) |
1 |
F |
(* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI))) |
(+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI)) |
(* l (* (PI) (* (* (PI) (PI)) 1/3))) |
(* (PI) (* (* (PI) (PI)) 1/3)) |
(* (* (PI) (PI)) 1/3) |
(* (PI) (PI)) |
1/3 |
(+ (* (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) (/ l F)) (* (PI) l)) |
(/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) |
(+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) |
l |
(* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3))))) |
(+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))) |
(* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15)) |
(* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15) |
(* (PI) (* (PI) (* (PI) (* (PI) (PI))))) |
(PI) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(* (PI) (* (PI) (PI))) |
(* (PI) (PI)) |
2/15 |
(* (PI) (* (PI) (* (PI) 1/3))) |
(* (PI) (* (PI) 1/3)) |
(* (PI) 1/3) |
1/3 |
(neg F) |
F |
(/ l F) |
(* (PI) l) |
| Outputs |
|---|
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F)) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) |
(/ -1 F) |
(/.f64 #s(literal -1 binary64) F) |
-1 |
#s(literal -1 binary64) |
F |
(tan (* (* (sqrt (PI)) (sqrt (PI))) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(* (* (sqrt (PI)) (sqrt (PI))) l) |
(*.f64 (PI.f64) l) |
(* (sqrt (PI)) (sqrt (PI))) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(neg F) |
(neg.f64 F) |
(* l (- (PI) (/ (PI) (* F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
l |
(- (PI) (/ (PI) (* F F))) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(PI) |
(PI.f64) |
(/ (PI) (* F F)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(* F F) |
(*.f64 F F) |
F |
(* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) |
l |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(* (PI) (sqrt (PI))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(PI) |
(PI.f64) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(sqrt (sqrt (PI))) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(- (* (PI) l) (* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 F F)))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI)))) |
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) #s(literal 1/3 binary64)) l)) |
(/ (/ 1 F) F) |
(/.f64 #s(literal 1 binary64) (*.f64 F F)) |
(/ 1 F) |
(/.f64 #s(literal 1 binary64) F) |
1 |
#s(literal 1 binary64) |
F |
(* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI))) |
(*.f64 (PI.f64) (fma.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) #s(literal 1/3 binary64)) l)) |
(+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI)) |
(fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) #s(literal 1/3 binary64)) (PI.f64)) |
(* l (* (PI) (* (* (PI) (PI)) 1/3))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) |
(* (PI) (* (* (PI) (PI)) 1/3)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))) |
(* (* (PI) (PI)) 1/3) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ (* (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) (/ l F)) (* (PI) l)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) (*.f64 l l) (PI.f64)) (*.f64 F F)))) |
(/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) (*.f64 l l) (PI.f64)) (neg.f64 F)) |
(+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) |
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) (*.f64 l l) (PI.f64)) |
l |
(* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3))))) |
(*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)))) |
(+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) |
(* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15)) |
(*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) |
(* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15) |
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64))) |
(* (PI) (* (PI) (* (PI) (* (PI) (PI))))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(PI) |
(PI.f64) |
(* (PI) (* (PI) (* (PI) (PI)))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
2/15 |
#s(literal 2/15 binary64) |
(* (PI) (* (PI) (* (PI) 1/3))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))) |
(* (PI) (* (PI) 1/3)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) |
(* (PI) 1/3) |
(*.f64 (PI.f64) #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(neg F) |
(neg.f64 F) |
F |
(/ l F) |
(/.f64 l F) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 96.8% | (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 98.4% | (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) |
| ✓ | accuracy | 82.0% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
| ✓ | accuracy | 99.2% | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | accuracy | 92.5% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 98.4% | (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| ✓ | accuracy | 53.0% | (tan.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) |
| 154.0ms | 79× | 1 | valid |
| 90.0ms | 34× | 2 | valid |
| 60.0ms | 133× | 0 | valid |
| 56.0ms | 10× | 3 | valid |
Compiled 471 to 56 computations (88.1% saved)
ival-tan: 149.0ms (46.8% of total)ival-mult: 95.0ms (29.8% of total)ival-div: 18.0ms (5.7% of total)ival-sqrt: 16.0ms (5% of total)const: 13.0ms (4.1% of total)adjust: 10.0ms (3.1% of total)ival-add: 7.0ms (2.2% of total)ival-sub: 5.0ms (1.6% of total)ival-pi: 2.0ms (0.6% of total)ival-neg: 2.0ms (0.6% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sqrt (PI)) (sqrt (PI)))> |
#<alt (/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F))> |
#<alt (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l)))> |
#<alt (- (* (PI) l) (/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F)))> |
#<alt (* l (- (PI) (/ (PI) (* F F))))> |
#<alt (- (PI) (/ (PI) (* F F)))> |
#<alt (PI)> |
#<alt (/ (PI) (* F F))> |
#<alt (* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))> |
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))> |
#<alt (sqrt (* (PI) (sqrt (PI))))> |
#<alt (* (PI) (sqrt (PI)))> |
#<alt (/ (/ 1 F) F)> |
#<alt (- (* (PI) l) (* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI)))))> |
#<alt (* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI))))> |
#<alt (* (PI) l)> |
#<alt (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3))))> |
#<alt (+ (* (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) (/ l F)) (* (PI) l))> |
#<alt (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F))> |
#<alt (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI))> |
#<alt (tan (* (* (sqrt (PI)) (sqrt (PI))) l))> |
#<alt (sqrt (PI))> |
#<alt (* (PI) (* (* (PI) (PI)) 1/3))> |
#<alt (* (* (PI) (PI)) 1/3)> |
#<alt (* (PI) 1/3)> |
#<alt (* (PI) (* (PI) 1/3))> |
#<alt (* (PI) (* (PI) (PI)))> |
| 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 (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (* l (PI)) F))> |
#<alt (* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))> |
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))> |
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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)))))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* F (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)))))))))> |
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#<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))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | l | @ | 0 | (- (* (PI) l) (/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F))) |
| 1.0ms | F | @ | 0 | (+ (* (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) (/ l F)) (* (PI) l)) |
| 1.0ms | F | @ | 0 | (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) |
| 1.0ms | F | @ | inf | (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) |
| 1.0ms | l | @ | 0 | (+ (* (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) (/ l F)) (* (PI) l)) |
| 1× | batch-egg-rewrite |
| 5 724× | *-lowering-*.f32 |
| 5 724× | *-lowering-*.f64 |
| 5 288× | accelerator-lowering-fma.f32 |
| 5 288× | accelerator-lowering-fma.f64 |
| 2 846× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 269 |
| 1 | 292 | 224 |
| 2 | 2607 | 223 |
| 0 | 8345 | 213 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (PI)) (sqrt (PI))) |
(/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F)) |
(* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) |
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (* (sqrt (PI)) (sqrt (PI))) l))) (neg F))) |
(* l (- (PI) (/ (PI) (* F F)))) |
(- (PI) (/ (PI) (* F F))) |
(PI) |
(/ (PI) (* F F)) |
(* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))) |
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(/ (/ 1 F) F) |
(- (* (PI) l) (* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI))))) |
(* (/ (/ 1 F) F) (* l (+ (* l (* l (* (PI) (* (* (PI) (PI)) 1/3)))) (PI)))) |
(* (PI) l) |
(+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))) |
(+ (* (/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) (/ l F)) (* (PI) l)) |
(/ (+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) (neg F)) |
(+ (* l (* l (+ (* l (* l (* (* (PI) (* (PI) (* (PI) (* (PI) (PI))))) 2/15))) (* (PI) (* (PI) (* (PI) 1/3)))))) (PI)) |
(tan (* (* (sqrt (PI)) (sqrt (PI))) l)) |
(sqrt (PI)) |
(* (PI) (* (* (PI) (PI)) 1/3)) |
(* (* (PI) (PI)) 1/3) |
(* (PI) 1/3) |
(* (PI) (* (PI) 1/3)) |
(* (PI) (* (PI) (PI))) |
| Outputs |
|---|
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (PI.f64)) |
(fabs.f64 (neg.f64 (PI.f64))) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(pow.f64 (PI.f64) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 #s(literal 1 binary64) (PI.f64)) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.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 (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) F) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal 1 binary64)) (neg.f64 F)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) (neg.f64 F)) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F)) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))) (neg.f64 F)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal -1 binary64)) F) |
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal -1 binary64)) F) |
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F))) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F)))) |
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) F)) #s(literal -1 binary64)) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (/.f64 #s(literal -1 binary64) F)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 F) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F)) |
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) |
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)) |
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 F)) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) F) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (neg.f64 F)) |
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))) |
(pow.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) |
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) |
(+.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(+.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 (*.f64 l l) (PI.f64)))) (fma.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (*.f64 l l) (PI.f64))))) (/.f64 (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64)) (fma.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (*.f64 l l) (PI.f64)))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) (PI.f64))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))) (/.f64 (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))))) |
(fma.f64 (PI.f64) l (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (PI.f64) l)) |
(fma.f64 l (PI.f64) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) |
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(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64))) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 12 104× | accelerator-lowering-fma.f32 |
| 12 104× | accelerator-lowering-fma.f64 |
| 6 920× | *-lowering-*.f32 |
| 6 920× | *-lowering-*.f64 |
| 3 112× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 4886 |
| 1 | 1089 | 4762 |
| 2 | 3792 | 4641 |
| 0 | 8115 | 4460 |
| 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)))) |
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(/ (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))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (* l (PI)) F)) |
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F)))) |
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))))))) |
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(* -1 (/ (sin (* l (PI))) (* F (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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(* 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))))))))) |
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(* -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))) |
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(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
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(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
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(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
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(* -1 (/ (PI) (pow F 2))) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(PI) |
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(/ 1 (pow F 2)) |
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(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
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(* 2/15 (* (pow l 2) (pow (PI) 5))) |
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(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -2/15 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))))) |
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -2/15 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))))) |
(* -2/15 (/ (* (pow l 5) (pow (PI) 5)) (pow F 2))) |
(* (pow l 5) (+ (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (* -2/15 (/ (pow (PI) 5) (pow F 2))))) |
(* (pow l 5) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 4)))) (+ (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (+ (* -2/15 (/ (pow (PI) 5) (pow F 2))) (/ (PI) (pow l 4)))))) |
(* (pow l 5) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 4)))) (+ (* -1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (+ (* -2/15 (/ (pow (PI) 5) (pow F 2))) (/ (PI) (pow l 4)))))) |
(* -2/15 (/ (* (pow l 5) (pow (PI) 5)) (pow F 2))) |
(* -1 (* (pow l 5) (+ (* 2/15 (/ (pow (PI) 5) (pow F 2))) (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2))))))) |
(* -1 (* (pow l 5) (+ (* -1 (/ (PI) (pow l 4))) (+ (* 2/15 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (/ (PI) (* (pow F 2) (pow l 4)))))))) |
(* -1 (* (pow l 5) (+ (* -1 (/ (PI) (pow l 4))) (+ (* 2/15 (/ (pow (PI) 5) (pow F 2))) (+ (* 1/3 (/ (pow (PI) 3) (* (pow F 2) (pow l 2)))) (/ (PI) (* (pow F 2) (pow l 4)))))))) |
(* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) |
(/ (+ (* -1 (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3)))))) (pow F 2))) (* l (PI))) |
(* -1 (/ (PI) F)) |
(+ (* -1 (/ (PI) F)) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) F))) |
(+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) F)) (* -2/15 (/ (* (pow l 2) (pow (PI) 5)) F))))) |
(+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) F)) (* -2/15 (/ (* (pow l 2) (pow (PI) 5)) F))))) |
(* -2/15 (/ (* (pow l 4) (pow (PI) 5)) F)) |
(* (pow l 4) (+ (* -1/3 (/ (pow (PI) 3) (* F (pow l 2)))) (* -2/15 (/ (pow (PI) 5) F)))) |
(* (pow l 4) (+ (* -1 (/ (PI) (* F (pow l 4)))) (+ (* -1/3 (/ (pow (PI) 3) (* F (pow l 2)))) (* -2/15 (/ (pow (PI) 5) F))))) |
(* (pow l 4) (+ (* -1 (/ (PI) (* F (pow l 4)))) (+ (* -1/3 (/ (pow (PI) 3) (* F (pow l 2)))) (* -2/15 (/ (pow (PI) 5) F))))) |
(* -2/15 (/ (* (pow l 4) (pow (PI) 5)) F)) |
(* (pow l 4) (+ (* -1/3 (/ (pow (PI) 3) (* F (pow l 2)))) (* -2/15 (/ (pow (PI) 5) F)))) |
(* (pow l 4) (+ (* -1 (/ (PI) (* F (pow l 4)))) (+ (* -1/3 (/ (pow (PI) 3) (* F (pow l 2)))) (* -2/15 (/ (pow (PI) 5) F))))) |
(* (pow l 4) (+ (* -1 (/ (PI) (* F (pow l 4)))) (+ (* -1/3 (/ (pow (PI) 3) (* F (pow l 2)))) (* -2/15 (/ (pow (PI) 5) F))))) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(* -1 (/ (+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) F)) |
(PI) |
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) |
(+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) |
(+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) |
(* 2/15 (* (pow l 4) (pow (PI) 5))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2))))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(* 2/15 (* (pow l 4) (pow (PI) 5))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2))))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(* 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)))) |
| Outputs |
|---|
(/ (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)) (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 l (*.f64 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 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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))) (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 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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))))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))) |
(* -1 (/ (* l (PI)) F)) |
(/.f64 (*.f64 l (neg.f64 (PI.f64))) F) |
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F)))) |
(*.f64 l (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F))) |
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(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) |
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (PI.f64)) |
(+ (PI) (* (pow l 2) (+ (* 2/15 (* (pow l 2) (pow (PI) 5))) (* 1/3 (pow (PI) 3))))) |
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (PI.f64)) |
(* 2/15 (* (pow l 4) (pow (PI) 5))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64)) (*.f64 (*.f64 l l) (*.f64 l l))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2))))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64))) (*.f64 (*.f64 l l) (*.f64 l l))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 l l)))))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 l l)))))) |
(* 2/15 (* (pow l 4) (pow (PI) 5))) |
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64)) (*.f64 (*.f64 l l) (*.f64 l l))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (* 1/3 (/ (pow (PI) 3) (pow l 2))))) |
(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64))) (*.f64 (*.f64 l l) (*.f64 l l))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 l l)))))) |
(* (pow l 4) (+ (* 2/15 (pow (PI) 5)) (+ (* 1/3 (/ (pow (PI) 3) (pow l 2))) (/ (PI) (pow l 4))))) |
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 l l)))))) |
(* 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 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (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 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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 (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) (fma.f64 l (*.f64 l (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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))))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)))))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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 (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)))) |
(/.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)))) |
(/.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)))) |
Compiled 81 078 to 11 371 computations (86% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 585 | 14 | 2 599 |
| Fresh | 7 | 5 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 596 | 22 | 2 618 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (fma.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (/.f64 l (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) | |
| 54.6% | (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (/.f64 l (*.f64 F F))) (*.f64 l (PI.f64))) | |
| 57.2% | (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 l (*.f64 l (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64))))))) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) | |
| ▶ | 75.2% | (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
| 61.1% | (fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) | |
| 76.7% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) | |
| 50.1% | (fma.f64 l (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (neg.f64 F))) (*.f64 (PI.f64) l)) | |
| ▶ | 56.0% | (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ▶ | 17.2% | (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
| 17.2% | (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) | |
| 75.2% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F))) | |
| 75.2% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) | |
| ✓ | 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) |
| 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))) | |
| 77.0% | (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) | |
| ▶ | 77.0% | (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
| 67.9% | (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) | |
| 67.9% | (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) | |
| 67.9% | (*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) | |
| ✓ | 76.5% | (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
| ▶ | 16.6% | (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | 77.0% | (*.f64 l (PI.f64)) |
Compiled 810 to 489 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) |
| ✓ | cost-diff | 2880 | (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
| ✓ | cost-diff | 0 | (neg.f64 F) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (neg.f64 F)) |
| ✓ | cost-diff | 704 | (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 (PI.f64) (*.f64 F F))) |
| ✓ | cost-diff | 0 | (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (PI.f64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (sqrt.f64 (PI.f64))) |
| ✓ | cost-diff | 0 | (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
| 10 502× | accelerator-lowering-fma.f32 |
| 10 502× | accelerator-lowering-fma.f64 |
| 5 570× | *-lowering-*.f32 |
| 5 570× | *-lowering-*.f64 |
| 2 560× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 243 |
| 1 | 103 | 225 |
| 2 | 303 | 213 |
| 3 | 906 | 211 |
| 4 | 2269 | 206 |
| 5 | 4704 | 206 |
| 0 | 8340 | 204 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* l (sqrt (sqrt (PI)))) (sqrt (* (PI) (sqrt (PI))))) |
(* l (sqrt (sqrt (PI)))) |
l |
(sqrt (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(sqrt (* (PI) (sqrt (PI)))) |
(* (PI) (sqrt (PI))) |
(* l (neg (/ (PI) (* F F)))) |
l |
(neg (/ (PI) (* F F))) |
(/ (PI) (* F F)) |
(PI) |
(* F F) |
F |
(+ (* (/ (PI) (neg F)) (/ l F)) (* (PI) l)) |
(/ (PI) (neg F)) |
(PI) |
(neg F) |
F |
(/ l F) |
l |
(* (PI) l) |
(/ (* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) (* F (neg F))) |
(* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) |
l |
(+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI)) |
(* (* (* l l) 1/3) (PI)) |
(* (* l l) 1/3) |
(* l l) |
1/3 |
(PI) |
(* (PI) (PI)) |
(* F (neg F)) |
F |
(neg F) |
(/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F)))) |
(* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) |
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) |
(* (PI) (PI)) |
(PI) |
(/ (* (PI) (PI)) (* (* F F) (* F F))) |
(* (* F F) (* F F)) |
(* F F) |
F |
l |
(+ (PI) (/ (PI) (* F F))) |
(/ (PI) (* F F)) |
| Outputs |
|---|
(* (* l (sqrt (sqrt (PI)))) (sqrt (* (PI) (sqrt (PI))))) |
(*.f64 l (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(* l (sqrt (sqrt (PI)))) |
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) |
l |
(sqrt (sqrt (PI))) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(sqrt (PI)) |
(sqrt.f64 (PI.f64)) |
(PI) |
(PI.f64) |
(sqrt (* (PI) (sqrt (PI)))) |
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(* (PI) (sqrt (PI))) |
(*.f64 (PI.f64) (sqrt.f64 (PI.f64))) |
(* l (neg (/ (PI) (* F F)))) |
(*.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))) |
l |
(neg (/ (PI) (* F F))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(/ (PI) (* F F)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(PI) |
(PI.f64) |
(* F F) |
(*.f64 F F) |
F |
(+ (* (/ (PI) (neg F)) (/ l F)) (* (PI) l)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(/ (PI) (neg F)) |
(/.f64 (PI.f64) (neg.f64 F)) |
(PI) |
(PI.f64) |
(neg F) |
(neg.f64 F) |
F |
(/ l F) |
(/.f64 l F) |
l |
(* (PI) l) |
(*.f64 l (PI.f64)) |
(/ (* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) (* F (neg F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l (*.f64 l #s(literal -1/3 binary64)))) #s(literal -1 binary64)))) (*.f64 F F)) |
(* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) |
(*.f64 (*.f64 l (PI.f64)) (fma.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
l |
(+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI)) |
(fma.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) |
(* (* (* l l) 1/3) (PI)) |
(*.f64 (*.f64 l (PI.f64)) (*.f64 l #s(literal 1/3 binary64))) |
(* (* l l) 1/3) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* l l) |
(*.f64 l l) |
1/3 |
#s(literal 1/3 binary64) |
(PI) |
(PI.f64) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(* F (neg F)) |
(*.f64 F (neg.f64 F)) |
F |
(neg F) |
(neg.f64 F) |
(/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 l (/.f64 l (*.f64 F (*.f64 F (*.f64 F F)))))) |
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(PI) |
(PI.f64) |
(/ (* (PI) (PI)) (* (* F F) (* F F))) |
(/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) |
(* (* F F) (* F F)) |
(*.f64 F (*.f64 F (*.f64 F F))) |
(* F F) |
(*.f64 F F) |
F |
l |
(+ (PI) (/ (PI) (* F F))) |
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(/ (PI) (* F F)) |
(/.f64 (PI.f64) (*.f64 F F)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 F F) (*.f64 F F)) |
| ✓ | accuracy | 99.2% | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | accuracy | 97.1% | (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) |
| ✓ | accuracy | 68.8% | (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 81.9% | (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) (neg.f64 F)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 (PI.f64) (*.f64 F F))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.2% | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | accuracy | 85.9% | (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
| ✓ | accuracy | 98.4% | (sqrt.f64 (PI.f64)) |
| 75.0ms | 256× | 0 | valid |
Compiled 254 to 37 computations (85.4% saved)
ival-mult: 23.0ms (41.4% of total)ival-div: 14.0ms (25.2% of total)ival-sqrt: 5.0ms (9% of total)const: 4.0ms (7.2% of total)ival-add: 3.0ms (5.4% of total)ival-pi: 2.0ms (3.6% of total)ival-neg: 2.0ms (3.6% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (* l (sqrt (sqrt (PI)))) (sqrt (* (PI) (sqrt (PI)))))> |
#<alt (* l (sqrt (sqrt (PI))))> |
#<alt (sqrt (sqrt (PI)))> |
#<alt (sqrt (PI))> |
#<alt (* l (neg (/ (PI) (* F F))))> |
#<alt (neg (/ (PI) (* F F)))> |
#<alt (/ (PI) (* F F))> |
#<alt (PI)> |
#<alt (+ (* (/ (PI) (neg F)) (/ l F)) (* (PI) l))> |
#<alt (/ (PI) (neg F))> |
#<alt (neg F)> |
#<alt (/ (* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) (* F (neg F)))> |
#<alt (* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI)))> |
#<alt (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))> |
#<alt (* (* (* l l) 1/3) (PI))> |
#<alt (/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F))))> |
#<alt (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F))))> |
#<alt (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l)> |
#<alt (* (PI) (PI))> |
#<alt (* (PI) l)> |
#<alt (* (* l l) 1/3)> |
#<alt (* (* F F) (* F F))> |
| Outputs |
|---|
#<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 (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* (pow (* 1 (PI)) 1/4) l)> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (* -1 (/ (PI) (pow F 2)))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (/ (PI) (pow F 2))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* 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) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 (/ (PI) F))> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 F)> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))> |
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))> |
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))> |
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))> |
#<alt (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))> |
#<alt (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))> |
#<alt (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))> |
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))> |
#<alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))> |
#<alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))> |
#<alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))> |
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))> |
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))> |
#<alt (* 1/3 (* (pow l 3) (pow (PI) 3)))> |
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* 1/3 (* (pow l 3) (pow (PI) 3)))> |
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))> |
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))> |
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))> |
#<alt (PI)> |
#<alt (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))> |
#<alt (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))> |
#<alt (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))> |
#<alt (* 1/3 (* (pow l 2) (pow (PI) 3)))> |
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* 1/3 (* (pow l 2) (pow (PI) 3)))> |
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* 1/3 (* (pow l 2) (PI)))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* 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 (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (/ (pow (PI) 2) (pow F 4)))> |
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))> |
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))> |
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))> |
#<alt (pow (PI) 2)> |
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))> |
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))> |
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))> |
#<alt (pow (PI) 2)> |
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))> |
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))> |
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))> |
#<alt (* -1 (/ (* l (pow (PI) 2)) (pow F 4)))> |
#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))> |
#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))> |
#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))> |
#<alt (* l (pow (PI) 2))> |
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))> |
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))> |
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))> |
#<alt (* l (pow (PI) 2))> |
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))> |
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))> |
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))> |
#<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 (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (* 1/3 (pow l 2))> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
#<alt (pow F 4)> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 57.0ms | l | @ | 0 | (* l (sqrt (sqrt (PI)))) |
| 2.0ms | l | @ | 0 | (/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F)))) |
| 1.0ms | F | @ | 0 | (/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F)))) |
| 1.0ms | F | @ | 0 | (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) |
| 1.0ms | l | @ | inf | (/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F)))) |
| 1× | batch-egg-rewrite |
| 5 046× | *-lowering-*.f32 |
| 5 046× | *-lowering-*.f64 |
| 3 898× | accelerator-lowering-fma.f32 |
| 3 898× | accelerator-lowering-fma.f64 |
| 3 876× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 189 |
| 1 | 211 | 143 |
| 2 | 1907 | 143 |
| 0 | 8181 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* l (sqrt (sqrt (PI)))) (sqrt (* (PI) (sqrt (PI))))) |
(* l (sqrt (sqrt (PI)))) |
(sqrt (sqrt (PI))) |
(sqrt (PI)) |
(* l (neg (/ (PI) (* F F)))) |
(neg (/ (PI) (* F F))) |
(/ (PI) (* F F)) |
(PI) |
(+ (* (/ (PI) (neg F)) (/ l F)) (* (PI) l)) |
(/ (PI) (neg F)) |
(neg F) |
(/ (* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) (* F (neg F))) |
(* l (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI))) |
(+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI)) |
(* (* (* l l) 1/3) (PI)) |
(/ (* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) (+ (PI) (/ (PI) (* F F)))) |
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) |
(* (- (* (PI) (PI)) (/ (* (PI) (PI)) (* (* F F) (* F F)))) l) |
(* (PI) (PI)) |
(* (PI) l) |
(* (* l l) 1/3) |
(* (* F F) (* F F)) |
| Outputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l)) |
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(fabs.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (sqrt.f64 (PI.f64))) |
(pow.f64 (PI.f64) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) |
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) |
(neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))) |
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (PI.f64) (*.f64 (/.f64 F l) (neg.f64 F))) |
(/.f64 (PI.f64) (*.f64 (neg.f64 F) (/.f64 F l))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (neg.f64 (PI.f64))) (/.f64 F l))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F l) (/.f64 F (neg.f64 (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (neg.f64 F)) (*.f64 l (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (/.f64 (*.f64 l (PI.f64)) F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (/.f64 F l) (neg.f64 F)))) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (neg.f64 F) (/.f64 F l)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 F (neg.f64 (PI.f64))) (/.f64 F l)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 F l) (/.f64 F (neg.f64 (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F (neg.f64 F)) (*.f64 l (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (neg.f64 (*.f64 (/.f64 (PI.f64) F) l))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 F) (/.f64 (*.f64 l (PI.f64)) F)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F)) |
(/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 F (neg.f64 (PI.f64))) F)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (/.f64 F (neg.f64 (PI.f64))) (neg.f64 F))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (*.f64 F (/.f64 F l))) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 l)) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 F (/.f64 F (neg.f64 (PI.f64))))) |
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F)) |
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F)) |
(/.f64 (*.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (neg.f64 F) (/.f64 F (neg.f64 (PI.f64))))) |
(/.f64 (*.f64 (neg.f64 l) (neg.f64 (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l))) (neg.f64 F)) |
(/.f64 (neg.f64 (/.f64 (*.f64 l (PI.f64)) F)) F) |
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (/.f64 F l) F))) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) #s(literal 1 binary64)) (/.f64 F l)) |
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F)) |
(/.f64 (*.f64 (/.f64 l F) #s(literal 1 binary64)) (/.f64 F (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 (/.f64 l F) (neg.f64 (PI.f64))) F) |
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 l F)) F) |
(/.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) (neg.f64 F))) (neg.f64 F)) |
(/.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) #s(literal -1 binary64)) F) |
(/.f64 (neg.f64 (/.f64 (PI.f64) (neg.f64 F))) (neg.f64 (/.f64 F l))) |
(/.f64 (neg.f64 (/.f64 l F)) (neg.f64 (/.f64 F (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 l))) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) l)) (neg.f64 (*.f64 (/.f64 F (neg.f64 (PI.f64))) F))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l))) (neg.f64 (*.f64 (/.f64 F (neg.f64 (PI.f64))) (neg.f64 F)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) l)) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (*.f64 F (/.f64 F l)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 l))) (*.f64 F F)) |
(/.f64 (neg.f64 (*.f64 l #s(literal 1 binary64))) (neg.f64 (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))) |
(/.f64 (neg.f64 (*.f64 l (neg.f64 (PI.f64)))) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 l) (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 l) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 F) (/.f64 F (neg.f64 (PI.f64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 l) (neg.f64 (PI.f64)))) (*.f64 F F)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 l (PI.f64)))) (*.f64 F (neg.f64 F))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)))) F) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))) (neg.f64 F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) #s(literal 1 binary64))) (neg.f64 (/.f64 F l))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l))) F) |
(/.f64 (neg.f64 (*.f64 (/.f64 l F) #s(literal 1 binary64))) (neg.f64 (/.f64 F (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 l F) (neg.f64 (PI.f64)))) (neg.f64 F)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 l F))) (neg.f64 F)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) (neg.f64 F)))) F) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) #s(literal -1 binary64))) (neg.f64 F)) |
(pow.f64 (*.f64 (/.f64 F (neg.f64 (PI.f64))) (/.f64 F l)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 F l) (/.f64 F (neg.f64 (PI.f64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (*.f64 l (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 F (neg.f64 (*.f64 (/.f64 (PI.f64) F) l))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 F) (/.f64 (*.f64 l (PI.f64)) F)) #s(literal -1 binary64)) |
(*.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))) |
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l F))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (neg.f64 F))) |
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l) |
(*.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F)) |
(*.f64 (/.f64 l F) (/.f64 (PI.f64) (neg.f64 F))) |
(*.f64 (*.f64 l (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))) |
(*.f64 #s(literal -1 binary64) (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (/.f64 (PI.f64) F) (/.f64 l (neg.f64 F))) |
(*.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F)) |
(*.f64 (/.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F)) |
(*.f64 (*.f64 l #s(literal -1 binary64)) (/.f64 (PI.f64) (*.f64 F F))) |
(+.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 F F))) |
(neg.f64 (/.f64 (PI.f64) (*.f64 F F))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) F) |
(/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 F F) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (neg.f64 F)) (PI.f64))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F))))))) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F))))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))))) (neg.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) |
(*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))) |
(+.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 l (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 F (*.f64 F (*.f64 F F))))))) |
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 F (*.f64 F (*.f64 F F))))) l)) |
(fma.f64 l (*.f64 (PI.f64) (PI.f64)) (*.f64 l (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 F (*.f64 F (*.f64 F F))))))) |
(fma.f64 (*.f64 (PI.f64) (PI.f64)) l (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 F (*.f64 F (*.f64 F F))))) l)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F))))))) l) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) l) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) |
(/.f64 (*.f64 l (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(/.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F))))))) l)) (neg.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) l)) (neg.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))) |
(/.f64 (neg.f64 (*.f64 l (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 (*.f64 F (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F))))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) |
(/.f64 (neg.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))))) (neg.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) |
(*.f64 (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))) l) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) |
(pow.f64 (PI.f64) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3 binary64)) |
(pow.f64 (neg.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 2/3 binary64)) |
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) |
(*.f64 (PI.f64) (PI.f64)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l)) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l)) |
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 l l)) |
(*.f64 (*.f64 l #s(literal 1/3 binary64)) l) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 F) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 F) (*.f64 #s(literal 2 binary64) (log.f64 F)))) |
(pow.f64 F #s(literal 4 binary64)) |
(pow.f64 (*.f64 F F) #s(literal 2 binary64)) |
(pow.f64 (*.f64 F (neg.f64 F)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 F (*.f64 F (*.f64 F F))) #s(literal 1 binary64)) |
(*.f64 F (*.f64 F (*.f64 F F))) |
(*.f64 (*.f64 F F) (*.f64 F F)) |
(*.f64 (*.f64 F (neg.f64 F)) (*.f64 F (neg.f64 F))) |
(*.f64 #s(literal 1 binary64) (*.f64 F (*.f64 F (*.f64 F F)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 F) #s(literal 4 binary64))) |
(*.f64 (*.f64 F (*.f64 F F)) F) |
| 1× | egg-herbie |
| 7 410× | accelerator-lowering-fma.f32 |
| 7 410× | accelerator-lowering-fma.f64 |
| 5 540× | *-lowering-*.f32 |
| 5 540× | *-lowering-*.f64 |
| 2 050× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 2590 |
| 1 | 279 | 2497 |
| 2 | 978 | 2335 |
| 3 | 3444 | 2183 |
| 4 | 6634 | 2183 |
| 0 | 8187 | 2159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* (pow (* 1 (PI)) 1/4) l) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(* -1 (/ (PI) (pow F 2))) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(/ (PI) (pow F 2)) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* 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) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* l (+ (PI) (* -1 (/ (PI) (pow F 2))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2))))) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 (/ (PI) F)) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 F) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))) |
(* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))) |
(* l (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) |
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(* l (PI)) |
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) |
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) |
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) |
(* 1/3 (* (pow l 3) (pow (PI) 3))) |
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* 1/3 (* (pow l 3) (pow (PI) 3))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3))))) |
(PI) |
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) |
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) |
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) |
(* 1/3 (* (pow l 2) (pow (PI) 3))) |
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* 1/3 (* (pow l 2) (pow (PI) 3))) |
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* 1/3 (* (pow l 2) (PI))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* 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 (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(* -1 (/ (pow (PI) 2) (pow F 4))) |
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4)) |
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4)) |
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4)) |
(pow (PI) 2) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(pow (PI) 2) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(* -1 (/ (* l (pow (PI) 2)) (pow F 4))) |
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4)) |
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4)) |
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4)) |
(* l (pow (PI) 2)) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(* l (pow (PI) 2)) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(* 1/3 (pow l 2)) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
(pow F 4) |
| Outputs |
|---|
(* 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)) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* (pow (* 1 (PI)) 1/4) l) |
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (PI.f64) (*.f64 F (neg.f64 F))) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/ (PI) (pow F 2)) |
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2)))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* -1 (/ (pow (PI) 2) (pow F 4))) |
(neg.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(pow (PI) 2) |
(*.f64 (PI.f64) (PI.f64)) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2)) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))) |
(* -1 (/ (* l (pow (PI) 2)) (pow F 4))) |
(neg.f64 (*.f64 l (*.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4)) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4)) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4)) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (pow (PI) 2)) |
(*.f64 l (*.f64 (PI.f64) (PI.f64))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (pow (PI) 2)) |
(*.f64 l (*.f64 (PI.f64) (PI.f64))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64)))))) |
(* 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)) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(* 1/3 (pow l 2)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
(pow F 4) |
(pow.f64 F #s(literal 4 binary64)) |
Compiled 44 535 to 4 961 computations (88.9% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 909 | 12 | 1 921 |
| Fresh | 10 | 4 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 923 | 20 | 1 943 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (fma.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (/.f64 l (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) | |
| 76.7% | (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) | |
| 50.1% | (fma.f64 l (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (neg.f64 F))) (*.f64 (PI.f64) l)) | |
| 23.7% | (/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) | |
| 23.7% | (/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) | |
| 54.6% | (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) | |
| 17.2% | (/.f64 (*.f64 l (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (*.f64 F (neg.f64 F))) | |
| 31.6% | (/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) | |
| 23.8% | (/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) | |
| 23.7% | (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) | |
| 67.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) | |
| ✓ | 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))) |
| 76.1% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))) | |
| 77.0% | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) | |
| ✓ | 77.0% | (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
| 17.2% | (*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) | |
| 16.6% | (*.f64 l (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) | |
| 16.5% | (*.f64 l (neg.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) | |
| ✓ | 16.6% | (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | 77.0% | (*.f64 l (PI.f64)) |
Compiled 1 426 to 449 computations (68.5% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 l (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) |
(*.f64 l (neg.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(/.f64 (*.f64 l (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (/.f64 l (*.f64 F F))) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) |
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (/.f64 l (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) l (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(fma.f64 l (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (neg.f64 F))) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (PI.f64))))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 l (*.f64 l (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64))))))) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 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 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (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))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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)) (neg.f64 (*.f64 F F)))) |
(*.f64 (pow.f64 l #s(literal 5 binary64)) (-.f64 (/.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 l l))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F (*.f64 F (*.f64 l l)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (/.f64 #s(literal 2/15 binary64) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 l l)))))))) |
(/.f64 (-.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))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) |
(*.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)))) |
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
(*.f64 l (PI.f64)) |
6 calls:
| 22.0ms | (*.f64 (PI.f64) l) |
| 16.0ms | l |
| 15.0ms | F |
| 14.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 14.0ms | (*.f64 F F) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 1 | F |
| 99.4% | 2 | l |
| 91.5% | 2 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 99.4% | 2 | (*.f64 (PI.f64) l) |
| 83.3% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 83.3% | 1 | (*.f64 F F) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 l (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) |
(*.f64 l (neg.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(/.f64 (*.f64 l (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (/.f64 l (*.f64 F F))) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) |
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (/.f64 l (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) l (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(fma.f64 l (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (neg.f64 F))) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l 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)))))) (PI.f64))))) |
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 l (*.f64 l (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64))))))) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) |
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Outputs |
|---|
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
2 calls:
| 12.0ms | l |
| 12.0ms | (*.f64 (PI.f64) l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | l |
| 98.9% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 l (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) |
(*.f64 l (neg.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(/.f64 (*.f64 l (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (/.f64 l (*.f64 F F))) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) |
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) (*.f64 F F)))) |
(fma.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2/15 binary64)))) (*.f64 l l) (PI.f64)) (/.f64 l (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64))) l (*.f64 (PI.f64) l)) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) |
(*.f64 l (PI.f64)) |
2 calls:
| 44.0ms | (*.f64 (PI.f64) l) |
| 10.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | l |
| 98.8% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 l (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) |
(*.f64 l (neg.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(/.f64 (*.f64 l (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (/.f64 l (*.f64 F F))) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| Outputs |
|---|
(fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
2 calls:
| 26.0ms | (*.f64 (PI.f64) l) |
| 9.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 2 | l |
| 98.8% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F))) |
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 l (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) |
(*.f64 l (neg.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) |
(/.f64 (*.f64 l (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F))) |
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) |
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (neg.f64 (/.f64 l (*.f64 F F))) (*.f64 l (PI.f64))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64))))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) |
(*.f64 l (PI.f64)) |
2 calls:
| 25.0ms | l |
| 9.0ms | (*.f64 (PI.f64) l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | l |
| 98.5% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
| Outputs |
|---|
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
2 calls:
| 5.0ms | (*.f64 (PI.f64) l) |
| 4.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | l |
| 98.5% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) l)) F) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F)) |
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))) |
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F l)) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(*.f64 l (PI.f64)) |
2 calls:
| 7.0ms | (*.f64 (PI.f64) l) |
| 4.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | l |
| 92.0% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| Outputs |
|---|
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (PI.f64)) |
3 calls:
| 2.0ms | (*.f64 (PI.f64) l) |
| 2.0ms | l |
| 2.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 91.3% | 2 | l |
| 91.3% | 2 | (*.f64 (PI.f64) l) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))) |
| Outputs |
|---|
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) |
(*.f64 l (PI.f64)) |
6 calls:
| 2.0ms | (*.f64 (PI.f64) l) |
| 2.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 2.0ms | l |
| 2.0ms | F |
| 2.0ms | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 79.3% | 2 | F |
| 77.0% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 77.0% | 1 | (*.f64 F F) |
| 77.0% | 1 | l |
| 77.0% | 1 | (*.f64 (PI.f64) l) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
| Outputs |
|---|
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (PI.f64)) |
1 calls:
| 10.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 2 | (-.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)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
| Outputs |
|---|
(*.f64 l (PI.f64)) |
4 calls:
| 1.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 1.0ms | (*.f64 (PI.f64) l) |
| 1.0ms | F |
| 1.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 1 | l |
| 77.0% | 1 | (*.f64 (PI.f64) l) |
| 77.0% | 1 | F |
| 77.0% | 1 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 23970687.924168475 | 121811230.45356822 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2627.8891853176433 | 23970687.924168475 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.158956766149583e-208 | 2.1963082274332485e-300 |
Compiled 19 to 15 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.158956766149583e-208 | 2.1963082274332485e-300 |
Compiled 19 to 15 computations (21.1% saved)
| 1× | egg-herbie |
| 472× | distribute-lft-neg-in_binary64 |
| 394× | unsub-neg_binary64 |
| 372× | neg-mul-1_binary64 |
| 288× | neg-sub0_binary64 |
| 218× | cancel-sign-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 274 |
| 1 | 153 | 272 |
| 2 | 235 | 271 |
| 3 | 335 | 271 |
| 4 | 460 | 271 |
| 5 | 672 | 271 |
| 6 | 1047 | 271 |
| 7 | 1342 | 271 |
| 8 | 1530 | 271 |
| 9 | 1680 | 271 |
| 10 | 1762 | 271 |
| 11 | 1792 | 271 |
| 12 | 1794 | 271 |
| 13 | 1794 | 271 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -578358058743443/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -578358058743443/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 2/15 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (neg.f64 (PI.f64)) F))) F)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (fma.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -578358058743443/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -578358058743443/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F)))) (*.f64 (PI.f64) l)) |
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -578358058743443/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -578358058743443/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))) (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
| 17 378× | accelerator-lowering-fma.f32 |
| 17 378× | accelerator-lowering-fma.f64 |
| 13 912× | accelerator-lowering-fma.f32 |
| 13 912× | accelerator-lowering-fma.f64 |
| 12 104× | accelerator-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1418 |
| 1 | 432 | 1331 |
| 2 | 1450 | 1227 |
| 3 | 6916 | 1158 |
| 0 | 8505 | 1124 |
| 0 | 48 | 259 |
| 1 | 280 | 176 |
| 2 | 2606 | 176 |
| 0 | 8177 | 171 |
| 0 | 35 | 189 |
| 1 | 211 | 143 |
| 2 | 1907 | 143 |
| 0 | 8181 | 139 |
| 0 | 338 | 4886 |
| 1 | 1089 | 4762 |
| 2 | 3792 | 4641 |
| 0 | 8115 | 4460 |
| 0 | 285 | 5664 |
| 1 | 918 | 5442 |
| 2 | 3365 | 5242 |
| 0 | 8872 | 5054 |
| 0 | 10 | 37 |
| 1 | 63 | 31 |
| 2 | 460 | 31 |
| 3 | 6645 | 31 |
| 0 | 8167 | 31 |
| 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 |
Compiled 484 to 223 computations (53.9% saved)
(abs F)
Compiled 854 to 306 computations (64.2% saved)
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