
Time bar (total: 18.4s)
| 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 17 to 11 computations (35.3% saved)
ival-mult: 54.0ms (47.9% of total)ival-div: 17.0ms (15.1% of total)ival-tan: 14.0ms (12.4% of total)ival-pi: 12.0ms (10.6% of total)ival-sub: 12.0ms (10.6% of total)const: 3.0ms (2.7% of total)backward-pass: 1.0ms (0.9% of total)| 3.5s | 3827× | 1 | valid |
| 407.0ms | 4331× | 0 | valid |
| 251.0ms | 98× | 2 | valid |
| 2.0ms | 4× | 5 | exit |
ival-tan: 2.9s (81.4% of total)ival-mult: 328.0ms (9.2% of total)ival-div: 102.0ms (2.8% of total)ival-pi: 79.0ms (2.2% of total)backward-pass: 78.0ms (2.2% of total)ival-sub: 63.0ms (1.8% of total)const: 14.0ms (0.4% of total)| 2× | egg-herbie |
| 930× | fnmadd-define |
| 788× | fma-define |
| 760× | fmsub-define |
| 756× | fnmsub-define |
| 676× | fnmadd-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 70 |
| 1 | 103 | 60 |
| 2 | 304 | 60 |
| 3 | 779 | 60 |
| 4 | 1707 | 60 |
| 5 | 2686 | 60 |
| 6 | 3620 | 60 |
| 7 | 4257 | 60 |
| 8 | 4369 | 60 |
| 9 | 4377 | 60 |
| 0 | 10 | 11 |
| 1 | 29 | 10 |
| 2 | 69 | 10 |
| 3 | 157 | 10 |
| 4 | 273 | 10 |
| 5 | 477 | 10 |
| 6 | 719 | 10 |
| 7 | 1000 | 10 |
| 8 | 1443 | 10 |
| 9 | 2242 | 10 |
| 10 | 2426 | 10 |
| 11 | 2511 | 10 |
| 12 | 2527 | 10 |
| 0 | 2527 | 10 |
| 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))) |
| Inputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))) |
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))) |
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))) |
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))) |
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F)))) |
| Outputs |
|---|
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(fmsub (PI) l (/ (fast-tan (* (PI) l)) (square F))) |
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))) |
(fmsub (PI) l (/ (fast-tan (* (PI) l)) (square F))) |
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))) |
(fnmadd (PI) l (/ (fast-tan (* (PI) l)) (square F))) |
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))) |
(fnmadd (PI) l (/ (fast-tan (* (PI) l)) (square F))) |
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))) |
(fmsub (PI) l (/ (fast-tan (* (PI) l)) (square F))) |
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F)))) |
(fmsub (PI) F (/ (fast-tan (* (PI) F)) (square l))) |
(abs F)
(negabs l)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 132 | 0 | - | 1 | (4.761137866202698e+224 7.900340911795797e+307) | (tan.f64 (*.f64 (PI.f64) l)) |
| 52 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | F |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (*.f64 F F) |
| 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 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) l) |
| 179.0ms | 84× | 2 | valid |
| 150.0ms | 154× | 1 | valid |
| 74.0ms | 20× | 3 | valid |
| 36.0ms | 254× | 0 | valid |
Compiled 108 to 32 computations (70.4% saved)
ival-tan: 315.0ms (86.5% of total)ival-mult: 20.0ms (5.5% of total)backward-pass: 12.0ms (3.3% of total)ival-div: 7.0ms (1.9% of total)ival-pi: 5.0ms (1.4% of total)ival-sub: 5.0ms (1.4% of total)const: 1.0ms (0.3% of total)Compiled 14 to 8 computations (42.9% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.2% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| ▶ | 72.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
Compiled 30 to 18 computations (40% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.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 | 128 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| 708× | fnmadd-define |
| 684× | fma-define |
| 506× | sum3-define |
| 452× | fmsub-define |
| 402× | fnmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 1 | 37 | 62 |
| 2 | 80 | 62 |
| 3 | 167 | 62 |
| 4 | 283 | 62 |
| 5 | 493 | 62 |
| 6 | 778 | 62 |
| 7 | 1056 | 62 |
| 8 | 1463 | 62 |
| 9 | 2377 | 62 |
| 10 | 2560 | 62 |
| 11 | 2645 | 62 |
| 12 | 2661 | 62 |
| 0 | 2661 | 62 |
| 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)) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(* (PI) l) |
(PI) |
l |
(/ (tan (* (PI) l)) (* F F)) |
(tan (* (PI) l)) |
(* F F) |
F |
| 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 (/.f64 #s(literal 1 binary64) F) F) |
1 |
#s(literal 1 binary64) |
(* F F) |
(*.f64 F F) |
F |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F 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 |
(/ (tan (* (PI) l)) (* F F)) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
(* F F) |
(*.f64 F F) |
F |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 81.6% | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
| ✓ | accuracy | 51.0% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| ✓ | accuracy | 80.3% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 51.0% | (tan.f64 (*.f64 (PI.f64) l)) |
| 87.0ms | 77× | 1 | valid |
| 77.0ms | 42× | 2 | valid |
| 38.0ms | 10× | 3 | valid |
| 22.0ms | 127× | 0 | valid |
Compiled 79 to 13 computations (83.5% saved)
ival-tan: 136.0ms (80.7% of total)ival-mult: 13.0ms (7.7% of total)backward-pass: 7.0ms (4.2% of total)ival-div: 6.0ms (3.6% of total)ival-sub: 4.0ms (2.4% of total)ival-pi: 2.0ms (1.2% of total)const: 1.0ms (0.6% 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 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))> |
#<alt (/ (tan (* (PI) l)) (* F F))> |
#<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) (/ (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)) (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 (/ (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))> |
#<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))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | F | @ | 0 | (* (/ 1 (* F F)) (tan (* (PI) l))) |
| 2.0ms | l | @ | inf | (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
| 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× | batch-egg-rewrite |
| 5116× | *-lowering-*.f32 |
| 5116× | *-lowering-*.f64 |
| 2786× | /-lowering-/.f32 |
| 2786× | /-lowering-/.f64 |
| 1334× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 103 | 45 |
| 2 | 683 | 45 |
| 0 | 8588 | 45 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (* F F)) (tan (* (PI) l))) |
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) |
(* (PI) l) |
(PI) |
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) |
(/ (tan (* (PI) l)) (* F F)) |
(tan (* (PI) l)) |
(/ 1 (* F F)) |
| 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 (-.f64 #s(literal 0 binary64) F)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) 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) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.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 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.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)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) F) |
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F)) |
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))) |
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #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)) (*.f64 F F)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) |
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F)) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F))) |
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(+.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (PI.f64) l) (neg.f64 (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))) |
(+.f64 (*.f64 (PI.f64) l) (+.f64 (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 0 binary64))))) |
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(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F)) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(tan.f64 (*.f64 (PI.f64) l)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(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 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)))) |
(-.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 #s(literal -1 binary64) (*.f64 F (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) F) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F)) |
(pow.f64 F #s(literal -2 binary64)) |
(pow.f64 (*.f64 F F) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 F 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) F) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F)) |
| 1× | egg-herbie |
| 5744× | *-lowering-*.f32 |
| 5744× | *-lowering-*.f64 |
| 3298× | +-lowering-+.f64 |
| 3298× | +-lowering-+.f32 |
| 1758× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2431 |
| 1 | 473 | 2071 |
| 2 | 1761 | 1867 |
| 0 | 8147 | 1867 |
| 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) (/ (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)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(* 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 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l 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 (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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))))))) |
(* 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 (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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 l l) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) #s(literal 1/72 binary64))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))) |
(/ (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 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 F F)) (/.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 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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))))))))) |
(* 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 (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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 l l) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) #s(literal 1/72 binary64))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(/ (- (* (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) (/ (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 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (*.f64 F F)) (/.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 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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))))))))) |
(* 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 (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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 l l) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) #s(literal 1/72 binary64))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F)))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(/ (- (* (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)) (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 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l 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 (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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))))))) |
(* 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 (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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 l l) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) #s(literal 1/72 binary64))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) |
(* 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 (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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))))))))) |
(* 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 (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 l l) (+.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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))))))))))) |
(/ (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 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
(/ 1 (pow F 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) F) |
Compiled 25437 to 1626 computations (93.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 12 | 971 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 961 | 12 | 973 |
| Status | Accuracy | Program |
|---|---|---|
| 38.5% | (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) | |
| 72.8% | (-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) | |
| 72.7% | (-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) | |
| ▶ | 79.5% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
| 72.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) | |
| ▶ | 79.5% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) |
| ▶ | 48.3% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F))) |
| ▶ | 66.9% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
| 79.5% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))) | |
| 66.4% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))) | |
| 66.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) | |
| ▶ | 71.7% | (*.f64 l (PI.f64)) |
Compiled 414 to 250 computations (39.6% saved)
| 1× | egg-herbie |
Found 18 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) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 l (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
| 3252× | *-lowering-*.f32 |
| 3252× | *-lowering-*.f64 |
| 1880× | sum3-define |
| 1794× | fma-lowering-fma.f32 |
| 1794× | fma-lowering-fma.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 183 |
| 1 | 89 | 177 |
| 2 | 250 | 177 |
| 3 | 695 | 175 |
| 4 | 1643 | 174 |
| 5 | 4276 | 174 |
| 0 | 8063 | 174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) |
(* (PI) l) |
(PI) |
l |
(/ (/ (tan (* (PI) l)) F) F) |
(/ (tan (* (PI) l)) F) |
(tan (* (PI) l)) |
F |
(* l (PI)) |
l |
(PI) |
(- (* (PI) l) (/ (* l (PI)) (* F F))) |
(* (PI) l) |
(PI) |
l |
(/ (* l (PI)) (* F F)) |
(* l (PI)) |
(* F F) |
F |
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))) |
(* (PI) l) |
(PI) |
l |
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)) |
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) |
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) |
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))) |
(* (PI) (* (PI) (PI))) |
(* (PI) (PI)) |
(* 1/3 (* l l)) |
1/3 |
(* l l) |
(* F F) |
F |
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l))))) |
(* (PI) l) |
(PI) |
l |
(/ (/ 1 F) (/ F (tan (* (PI) l)))) |
(/ 1 F) |
1 |
F |
(/ F (tan (* (PI) l))) |
(tan (* (PI) l)) |
| Outputs |
|---|
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) 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 |
(/ (/ (tan (* (PI) l)) F) F) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) |
(/ (tan (* (PI) l)) F) |
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
F |
(* l (PI)) |
(*.f64 (PI.f64) l) |
l |
(PI) |
(PI.f64) |
(- (* (PI) l) (/ (* l (PI)) (* F F))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(/ (* l (PI)) (* F F)) |
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F)) |
(* l (PI)) |
(*.f64 (PI.f64) l) |
(* F F) |
(*.f64 F F) |
F |
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))) |
(*.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 (/.f64 l F) F) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64))))))))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)) |
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 l F) F) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64)))))))) |
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) |
(*.f64 (PI.f64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64)))))))) |
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64))))))) |
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))) |
(*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64)))))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(* 1/3 (* l l)) |
(*.f64 l (*.f64 l #s(literal 1/3 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* l l) |
(*.f64 l l) |
(* F F) |
(*.f64 F F) |
F |
(- (* (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) |
(/.f64 #s(literal 1 binary64) F) |
1 |
#s(literal 1 binary64) |
F |
(/ F (tan (* (PI) l))) |
(/.f64 F (tan.f64 (*.f64 (PI.f64) l))) |
(tan (* (PI) l)) |
(tan.f64 (*.f64 (PI.f64) l)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.5% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 51.6% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) |
| ✓ | accuracy | 99.2% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 93.6% | (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)) |
| ✓ | accuracy | 51.6% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.8% | (*.f64 l (PI.f64)) |
| ✓ | accuracy | 93.6% | (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) |
| ✓ | accuracy | 51.6% | (PI.f64) |
| ✓ | accuracy | 99.8% | (*.f64 l (PI.f64)) |
| ✓ | accuracy | 51.6% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) |
| ✓ | accuracy | 99.8% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.5% | (tan.f64 (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 51.6% | (PI.f64) |
| 3.2s | 128× | 5 | exit |
| 56.0ms | 127× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 225 to 28 computations (87.6% saved)
ival-tan: 2.8s (94.3% of total)backward-pass: 53.0ms (1.8% of total)ival-div: 47.0ms (1.6% of total)ival-mult: 36.0ms (1.2% of total)ival-sub: 16.0ms (0.5% of total)...c/correct-round.rkt:119:19: 7.0ms (0.2% of total)ival-pi: 5.0ms (0.2% of total)ival-add: 4.0ms (0.1% of total)const: 1.0ms (0% of total)| Inputs |
|---|
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))> |
#<alt (* (PI) l)> |
#<alt (PI)> |
#<alt (/ (/ (tan (* (PI) l)) F) F)> |
#<alt (* l (PI))> |
#<alt (- (* (PI) l) (/ (* l (PI)) (* F F)))> |
#<alt (/ (* l (PI)) (* F F))> |
#<alt (- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))> |
#<alt (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))> |
#<alt (/ (/ 1 F) (/ F (tan (* (PI) l))))> |
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))> |
#<alt (tan (* (PI) l))> |
#<alt (/ (tan (* (PI) l)) F)> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))> |
#<alt (/ F (tan (* (PI) l)))> |
| Outputs |
|---|
#<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)) (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 (/ (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))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))> |
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))> |
#<alt (* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))> |
#<alt (* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))> |
#<alt (* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))> |
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))> |
#<alt (* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))))> |
#<alt (* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))))> |
#<alt (* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))))> |
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))> |
#<alt (* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))> |
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))> |
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))> |
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))> |
#<alt (* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))> |
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))> |
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))> |
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* l (PI))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))> |
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))> |
#<alt (/ (* l (PI)) F)> |
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))> |
#<alt (* l (PI))> |
#<alt (* l (+ (PI) (* 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 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ F (* l (PI)))> |
#<alt (/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)> |
#<alt (/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)> |
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | l | @ | -inf | (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) |
| 2.0ms | l | @ | inf | (- (* (PI) l) (/ (* l (PI)) (* F F))) |
| 1.0ms | l | @ | 0 | (/ F (tan (* (PI) l))) |
| 1.0ms | l | @ | 0 | (- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))) |
| 1.0ms | F | @ | 0 | (- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))) |
| 1× | batch-egg-rewrite |
| 6026× | *-lowering-*.f32 |
| 6026× | *-lowering-*.f64 |
| 3340× | /-lowering-/.f32 |
| 3340× | /-lowering-/.f64 |
| 2328× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 120 |
| 1 | 207 | 115 |
| 2 | 2078 | 115 |
| 0 | 9852 | 115 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) |
(* (PI) l) |
(PI) |
(/ (/ (tan (* (PI) l)) F) F) |
(* l (PI)) |
(- (* (PI) l) (/ (* l (PI)) (* F F))) |
(/ (* l (PI)) (* F F)) |
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))) |
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)) |
(/ (/ 1 F) (/ F (tan (* (PI) l)))) |
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l))))) |
(tan (* (PI) l)) |
(/ (tan (* (PI) l)) F) |
(* (PI) (* (PI) (PI))) |
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) |
(/ F (tan (* (PI) l))) |
| Outputs |
|---|
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))) |
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) |
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) |
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
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(*.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (pow.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64))))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64)))) |
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64)))) |
(cbrt.f64 (*.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 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64))) |
(+.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) (*.f64 (PI.f64) l)) |
(fma.f64 (PI.f64) l (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) l) (*.f64 (PI.f64) l)) |
(fma.f64 l (PI.f64) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l (*.f64 l #s(literal 1/3 binary64))) l) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l (*.f64 l #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) l) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) l (*.f64 (PI.f64) l)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l (*.f64 l l)) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(fma.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 (PI.f64) l)) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (*.f64 (*.f64 (*.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)))))) (*.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/27 binary64))) (*.f64 l (*.f64 l l)))) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))) (-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))) |
(/.f64 (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.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)))))) (*.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/27 binary64))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (PI.f64))))) |
(/.f64 (*.f64 l (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))) (-.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.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)))))) (*.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/27 binary64)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (PI.f64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) l) (-.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) |
(*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) l) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 F (tan.f64 (*.f64 (PI.f64) l))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F)) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) |
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) |
(*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64))) |
(*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) #s(literal -1 binary64)) F) |
| 1× | egg-herbie |
| 5548× | *-lowering-*.f32 |
| 5548× | *-lowering-*.f64 |
| 1416× | cancel-sign-sub-inv |
| 1386× | +-lowering-+.f64 |
| 1386× | +-lowering-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 4815 |
| 1 | 975 | 4202 |
| 2 | 3873 | 4075 |
| 0 | 8574 | 4075 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))) |
(* -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)))))) |
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))) |
(* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))) |
(* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI))) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))) |
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))) |
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))) |
(* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (* l (PI)) (pow F 2)) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) |
(* l (PI)) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* l (PI)) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) |
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) |
(* l (PI)) |
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (sin (* l (PI))) (cos (* l (PI)))) |
(/ (* l (PI)) F) |
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(* l (PI)) |
(* l (+ (PI) (* 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))))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ F (* l (PI))) |
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l) |
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l) |
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
| Outputs |
|---|
(* l (- (PI) (/ (PI) (pow F 2)))) |
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) |
(*.f64 l (+.f64 (/.f64 (PI.f64) F) (*.f64 l (*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (*.f64 l (*.f64 l (+.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) F)))) (*.f64 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) F)) #s(literal 1/2 binary64))))) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F)))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(/ (sin (* l (PI))) (* F (cos (* l (PI))))) |
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) |
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) |
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) |
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) |
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) |
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) |
(* 1/3 (* (pow l 3) (pow (PI) 3))) |
(*.f64 (*.f64 l l) (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) |
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l))))) |
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l))))) |
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2)))) |
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l))))) |
(* 1/3 (* (pow l 3) (pow (PI) 3))) |
(*.f64 (*.f64 l l) (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3))))) |
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3))))) |
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3))))) |
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l))))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ F (* l (PI))) |
(/.f64 F (*.f64 l (PI.f64))) |
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l) |
(/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (*.f64 (*.f64 (*.f64 F (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))) l) |
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l) |
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 l (*.f64 l (+.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))))))))) l) |
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l) |
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 l l) (+.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.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 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) (PI.f64)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))))))))) (*.f64 F (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))))) l) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
(/ (* F (cos (* l (PI)))) (sin (* l (PI)))) |
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) |
Compiled 32861 to 3303 computations (89.9% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1414 | 11 | 1425 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1423 | 14 | 1437 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.1% | (/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| 16.1% | (/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) | |
| ▶ | 35.8% | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
| 72.7% | (-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) | |
| ▶ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
| 73.2% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))) | |
| ▶ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) |
| 67.3% | (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) | |
| 23.0% | (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))) | |
| 36.0% | (*.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) | |
| 21.6% | (*.f64 (*.f64 l (*.f64 l l)) (+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F))))) | |
| ▶ | 66.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| 71.2% | (*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) | |
| ✓ | 71.7% | (*.f64 l (PI.f64)) |
Compiled 555 to 292 computations (47.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | cost-diff | 768 | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
| ✓ | 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 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | cost-diff | 1280 | (/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
| ✓ | 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) F) (/.f64 l F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) |
| 4862× | *-lowering-*.f32 |
| 4862× | *-lowering-*.f64 |
| 2468× | /-lowering-/.f32 |
| 2468× | /-lowering-/.f64 |
| 1684× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 289 |
| 1 | 102 | 280 |
| 2 | 421 | 249 |
| 3 | 2324 | 240 |
| 4 | 6942 | 240 |
| 0 | 8385 | 240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (* (/ (PI) F) (/ l F))) |
(* (PI) l) |
(PI) |
l |
(* (/ (PI) F) (/ l F)) |
(/ (PI) F) |
F |
(/ l F) |
(* l (- (PI) (/ (PI) (* F F)))) |
l |
(- (PI) (/ (PI) (* F F))) |
(PI) |
(/ (PI) (* F F)) |
(* F F) |
F |
(- (* (PI) l) (/ (* (/ l F) (PI)) F)) |
(* (PI) l) |
(PI) |
l |
(/ (* (/ l F) (PI)) F) |
(* (/ l F) (PI)) |
(/ l F) |
F |
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F))))) |
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) |
(* l (+ (PI) (/ (PI) (* F F)))) |
l |
(+ (PI) (/ (PI) (* F F))) |
(PI) |
(/ (PI) (* F F)) |
(* F F) |
F |
(* l (- (PI) (/ (PI) (* F F)))) |
(- (PI) (/ (PI) (* F F))) |
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) |
(* (PI) (* l (* (PI) l))) |
(PI) |
(* l (* (PI) l)) |
l |
(* (PI) l) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(+ (PI) (/ (PI) (* F F))) |
(/ (PI) (* F F)) |
(* F F) |
F |
(/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) |
(/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) |
(/ (/ (* (PI) l) F) F) |
(/ (* (PI) l) F) |
(/ (* F F) (* (PI) l)) |
| Outputs |
|---|
(- (* (PI) l) (* (/ (PI) F) (/ l F))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(* (/ (PI) F) (/ l F)) |
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
F |
(/ l F) |
(/.f64 l F) |
(* l (- (PI) (/ (PI) (* F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.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 |
(- (* (PI) l) (/ (* (/ l F) (PI)) F)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(/ (* (/ l F) (PI)) F) |
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) |
(* (/ l F) (PI)) |
(/.f64 (*.f64 (PI.f64) l) F) |
(/ l F) |
(/.f64 l F) |
F |
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) |
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(*.f64 (PI.f64) (+.f64 l (/.f64 l (*.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 (- (PI) (/ (PI) (* F F)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(- (PI) (/ (PI) (* F F))) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
(*.f64 (/.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) (*.f64 F (*.f64 F F)))))) |
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* (PI) (* l (* (PI) l))) |
(*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) |
(PI) |
(PI.f64) |
(* l (* (PI) l)) |
(*.f64 l (*.f64 (PI.f64) l)) |
l |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) |
(+ (PI) (/ (PI) (* F F))) |
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(/ (PI) (* F F)) |
(/.f64 (PI.f64) (*.f64 F F)) |
(* F F) |
(*.f64 F F) |
F |
(/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) |
(/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) (*.f64 F F))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) |
(/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F F) (/.f64 (/.f64 (*.f64 F F) l) (PI.f64)))) |
(/ (/ (* (PI) l) F) F) |
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) |
(/ (* (PI) l) F) |
(/.f64 (*.f64 (PI.f64) l) F) |
(/ (* F F) (* (PI) l)) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 92.8% | (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 87.0% | (/.f64 (*.f64 F F) (*.f64 (PI.f64) l)) |
| ✓ | accuracy | 64.5% | (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | accuracy | 61.9% | (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | accuracy | 99.2% | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | accuracy | 92.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 92.8% | (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 40.1% | (/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 l F) (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 | 92.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) F) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| 115.0ms | 256× | 0 | valid |
Compiled 344 to 29 computations (91.6% saved)
ival-div: 18.0ms (44.2% of total)ival-mult: 15.0ms (36.8% of total)ival-sub: 4.0ms (9.8% of total)ival-pi: 1.0ms (2.5% of total)ival-add: 1.0ms (2.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* (PI) l) (* (/ (PI) F) (/ l F)))> |
#<alt (* (PI) l)> |
#<alt (PI)> |
#<alt (* (/ (PI) F) (/ l F))> |
#<alt (* l (- (PI) (/ (PI) (* F F))))> |
#<alt (- (PI) (/ (PI) (* F F)))> |
#<alt (/ (PI) (* F F))> |
#<alt (- (* (PI) l) (/ (* (/ l F) (PI)) F))> |
#<alt (/ (* (/ l F) (PI)) F)> |
#<alt (/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))> |
#<alt (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))> |
#<alt (* l (+ (PI) (/ (PI) (* F F))))> |
#<alt (+ (PI) (/ (PI) (* F F)))> |
#<alt (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))> |
#<alt (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))> |
#<alt (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))> |
#<alt (* (PI) (* l (* (PI) l)))> |
#<alt (/ (PI) F)> |
#<alt (* (/ l F) (PI))> |
#<alt (/ (* F F) (* (PI) l))> |
| Outputs |
|---|
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (/ (* l (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 (* -1 (/ (PI) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))> |
#<alt (PI)> |
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#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
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#<alt (/ (* l (PI)) (pow F 2))> |
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#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (pow F 4))> |
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (pow F 4))> |
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#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))))> |
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#<alt (* l (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (+ (PI) (/ (PI) (pow F 2))))> |
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#<alt (/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (* l (PI))> |
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#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (* l (PI))> |
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#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (PI) (pow F 2))> |
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#<alt (/ (+ (PI) (* (pow F 2) (PI))) (pow F 2))> |
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#<alt (+ (PI) (/ (PI) (pow F 2)))> |
#<alt (+ (PI) (/ (PI) (pow F 2)))> |
#<alt (PI)> |
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#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))> |
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#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))> |
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))> |
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))> |
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))> |
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
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#<alt (* l (PI))> |
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#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))> |
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#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))> |
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#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))> |
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#<alt (* (pow F 2) (* l (PI)))> |
#<alt (* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))> |
#<alt (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))))> |
#<alt (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))))> |
#<alt (* l (PI))> |
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#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))> |
#<alt (* l (PI))> |
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#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
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#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
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#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))> |
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#<alt (/ (* l (PI)) (pow F 4))> |
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#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))> |
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))> |
#<alt (/ (* l (PI)) (pow F 4))> |
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))> |
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))> |
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
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#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (* (pow l 2) (pow (PI) 2))> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (PI) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (* l (PI)) F)> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
#<alt (/ (pow F 2) (* l (PI)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | l | @ | 0 | (* l (+ (PI) (/ (PI) (* F F)))) |
| 2.0ms | l | @ | 0 | (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
| 1.0ms | l | @ | inf | (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
| 1.0ms | l | @ | -inf | (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
| 1.0ms | F | @ | 0 | (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
| 1× | batch-egg-rewrite |
| 3650× | *-lowering-*.f32 |
| 3650× | *-lowering-*.f64 |
| 2548× | /-lowering-/.f32 |
| 2548× | /-lowering-/.f64 |
| 2396× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 177 |
| 1 | 250 | 146 |
| 2 | 2795 | 146 |
| 0 | 8139 | 146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (* (/ (PI) F) (/ l F))) |
(* (PI) l) |
(PI) |
(* (/ (PI) F) (/ l F)) |
(* l (- (PI) (/ (PI) (* F F)))) |
(- (PI) (/ (PI) (* F F))) |
(/ (PI) (* F F)) |
(- (* (PI) l) (/ (* (/ l F) (PI)) F)) |
(/ (* (/ l F) (PI)) F) |
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F))))) |
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(+ (PI) (/ (PI) (* F F))) |
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))) |
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) |
(/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) |
(* (PI) (* l (* (PI) l))) |
(/ (PI) F) |
(* (/ l F) (PI)) |
(/ (* F F) (* (PI) l)) |
| Outputs |
|---|
(+.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(+.f64 (*.f64 (PI.f64) l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))) (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 l (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))))) |
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) F)) (/.f64 (*.f64 (PI.f64) l) F)) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (*.f64 (PI.f64) l)) |
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l))) (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (-.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 l (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))) (+.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))) (/.f64 (*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))) (+.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l)))) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))) (*.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))))) (*.f64 (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 l (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (+.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))))) (/.f64 (/.f64 (*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))) (/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l)))) (*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))))) (*.f64 (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 l (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (+.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)))))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (+.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))) (/.f64 (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (*.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))) (*.f64 l (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (+.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)))))) |
(fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(fma.f64 (PI.f64) l (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(fma.f64 (PI.f64) l (neg.f64 (-.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))) |
(fma.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 l l)) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 l (PI.f64) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(fma.f64 l (PI.f64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(fma.f64 l (PI.f64) (neg.f64 (-.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))) |
(fma.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 (/.f64 (PI.f64) F) (-.f64 #s(literal 0 binary64) (/.f64 l F)) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 (/.f64 #s(literal 1 binary64) F)) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 l F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (neg.f64 (-.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l)))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (neg.f64 (-.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))) |
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(*.f64 (/.f64 l F) (PI.f64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) l) F)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 l F))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 l F))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) F))) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 l F) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (/.f64 l F) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(/.f64 F (/.f64 (*.f64 (PI.f64) l) F)) |
(/.f64 (*.f64 F F) (*.f64 (PI.f64) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) |
(/.f64 (/.f64 F (PI.f64)) (/.f64 l F)) |
(/.f64 (/.f64 F l) (/.f64 (PI.f64) F)) |
(/.f64 (/.f64 F (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) |
(/.f64 (/.f64 (*.f64 F F) (PI.f64)) l) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))) |
(/.f64 (*.f64 F (/.f64 F l)) (PI.f64)) |
(/.f64 (*.f64 (/.f64 F (PI.f64)) F) l) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 F F) (PI.f64))) (-.f64 #s(literal 0 binary64) l)) |
(/.f64 (/.f64 F (/.f64 l F)) (PI.f64)) |
(/.f64 (*.f64 (*.f64 F F) #s(literal 1 binary64)) (*.f64 (PI.f64) l)) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(pow.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 F (/.f64 F (*.f64 (PI.f64) l))) |
(*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) |
(*.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)))) |
(*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) |
(*.f64 (/.f64 F l) (/.f64 F (PI.f64))) |
(*.f64 (/.f64 F (*.f64 (PI.f64) l)) F) |
(*.f64 (/.f64 F (*.f64 (PI.f64) l)) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 F F) (PI.f64)) (/.f64 #s(literal 1 binary64) l)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) (*.f64 F F)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64))) |
(*.f64 (/.f64 F #s(literal 1 binary64)) (/.f64 F (*.f64 (PI.f64) l))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 (/.f64 l F) F) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) l) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 l (*.f64 F F)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 F F) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F))) (-.f64 #s(literal 0 binary64) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64))) |
(*.f64 (/.f64 F (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 F (*.f64 (PI.f64) l))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l)))) |
| 1× | egg-herbie |
| 3796× | *-lowering-*.f32 |
| 3796× | *-lowering-*.f64 |
| 1448× | fma-define |
| 1182× | sum3-define |
| 1156× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 3741 |
| 1 | 387 | 3174 |
| 2 | 1346 | 2995 |
| 3 | 6525 | 2988 |
| 0 | 8190 | 2988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (/ (* l (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))) |
(* -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) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(PI) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -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)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (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))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2))))) |
(* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (pow F 4)) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (pow F 4)) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (pow F 4)) |
(* (pow l 2) (pow (PI) 2)) |
(+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2)))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2)))) |
(* (pow l 2) (pow (PI) 2)) |
(+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2)))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (PI)) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* l (PI)) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(* l (PI)) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (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) |
(+ (PI) (/ (PI) (pow F 2))) |
(+ (PI) (/ (PI) (pow F 2))) |
(+ (PI) (/ (PI) (pow F 2))) |
(PI) |
(+ (PI) (/ (PI) (pow F 2))) |
(+ (PI) (/ (PI) (pow F 2))) |
(+ (PI) (/ (PI) (pow F 2))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))) |
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))))) |
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))))) |
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))))) |
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2))) |
(- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2))) |
(- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2)))) |
(* (pow F 2) (* l (PI))) |
(* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI)))) |
(* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI)))))) |
(* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI)))))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) |
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) |
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2))))) |
(/ (* l (PI)) (pow F 2)) |
(/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2)) |
(/ (* l (PI)) (pow F 4)) |
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4)) |
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4)) |
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4)) |
(/ (* l (PI)) (pow F 4)) |
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4)) |
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4)) |
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(* (pow l 2) (pow (PI) 2)) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (* l (PI)) F) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
(/ (pow F 2) (* l (PI))) |
| Outputs |
|---|
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 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 F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (/ (PI) (pow F 2))) |
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 F F)) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(PI) |
(PI.f64) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(PI) |
(PI.f64) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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)) |
(/.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)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
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(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
(/ (pow F 2) (* l (PI))) |
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) |
Compiled 114944 to 5273 computations (95.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2979 | 10 | 2989 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2988 | 15 | 3003 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) | |
| 51.9% | (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) | |
| ▶ | 28.9% | (/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| 27.7% | (/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) | |
| 16.1% | (/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) | |
| 54.4% | (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) | |
| 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l))) | |
| ▶ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
| 29.3% | (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) | |
| ▶ | 23.0% | (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))) |
| ▶ | 66.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
| ✓ | 66.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ▶ | 66.8% | (*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
| 71.2% | (*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) | |
| ✓ | 71.7% | (*.f64 l (PI.f64)) |
Compiled 524 to 299 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 l l) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))) |
| ✓ | cost-diff | 768 | (/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
| ✓ | cost-diff | 128 | (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (PI.f64) F) F) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) |
| ✓ | cost-diff | 0 | (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) l) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
| 5036× | *-lowering-*.f32 |
| 5036× | *-lowering-*.f64 |
| 1650× | /-lowering-/.f32 |
| 1650× | /-lowering-/.f64 |
| 1154× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 247 |
| 1 | 121 | 231 |
| 2 | 383 | 224 |
| 3 | 1427 | 223 |
| 4 | 5096 | 218 |
| 0 | 8169 | 218 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (/ (/ l F) (/ F (PI)))) |
(* (PI) l) |
(PI) |
l |
(/ (/ l F) (/ F (PI))) |
(/ l F) |
F |
(/ F (PI)) |
(* l (- (PI) (/ (/ (PI) F) F))) |
l |
(- (PI) (/ (/ (PI) F) F)) |
(PI) |
(/ (/ (PI) F) F) |
(/ (PI) F) |
F |
(* l (* (PI) (+ 1 (/ (/ -1 F) F)))) |
l |
(* (PI) (+ 1 (/ (/ -1 F) F))) |
(PI) |
(+ 1 (/ (/ -1 F) F)) |
1 |
(/ (/ -1 F) F) |
(/ -1 F) |
-1 |
F |
(- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))) |
0 |
(* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))) |
(+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) |
(PI) |
(* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)) |
(* (PI) (* (PI) (PI))) |
(* (PI) (PI)) |
(* (* l l) 1/3) |
(* l l) |
l |
1/3 |
(/ l (* F F)) |
(* F F) |
F |
(/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F))))) |
(* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) |
(* l l) |
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 F)) |
(* F F) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(+ (PI) (/ (PI) (* F F))) |
(/ (PI) (* F F)) |
| Outputs |
|---|
(- (* (PI) l) (/ (/ l F) (/ F (PI)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* (PI) l) |
(*.f64 (PI.f64) l) |
(PI) |
(PI.f64) |
l |
(/ (/ l F) (/ F (PI))) |
(/.f64 l (/.f64 (*.f64 F F) (PI.f64))) |
(/ l F) |
(/.f64 l F) |
F |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(* 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)) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
F |
(* l (* (PI) (+ 1 (/ (/ -1 F) F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
l |
(* (PI) (+ 1 (/ (/ -1 F) F))) |
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) |
(PI) |
(PI.f64) |
(+ 1 (/ (/ -1 F) F)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
1 |
#s(literal 1 binary64) |
(/ (/ -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 |
(- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))) |
(*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64)))))) |
0 |
#s(literal 0 binary64) |
(* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))) |
(*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))) |
(+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) |
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))) |
(PI) |
(PI.f64) |
(* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)) |
(*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))) |
(* (PI) (* (PI) (PI))) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(* (PI) (PI)) |
(*.f64 (PI.f64) (PI.f64)) |
(* (* l l) 1/3) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* l l) |
(*.f64 l l) |
l |
1/3 |
#s(literal 1/3 binary64) |
(/ l (* F F)) |
(/.f64 (/.f64 l F) F) |
(* F F) |
(*.f64 F F) |
F |
(/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F))))) |
(*.f64 (*.f64 l l) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))) |
(* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) |
(*.f64 (PI.f64) (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F F))) F)))) |
(* l l) |
(*.f64 l l) |
l |
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))) |
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F 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 (* F F)) |
(*.f64 F (*.f64 F F)) |
(* F F) |
(*.f64 F F) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 l F) F))) |
(+ (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 | 99.2% | (/.f64 (PI.f64) (*.f64 F F)) |
| ✓ | accuracy | 92.8% | (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | accuracy | 86.5% | (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) |
| ✓ | accuracy | 40.1% | (/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
| ✓ | accuracy | 94.7% | (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F))) |
| ✓ | accuracy | 86.9% | (/.f64 l (*.f64 F F)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 #s(literal -1 binary64) F) F) |
| ✓ | accuracy | 92.8% | (*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
| ✓ | accuracy | 100.0% | (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (PI.f64) F) F) |
| ✓ | accuracy | 99.7% | (/.f64 (PI.f64) F) |
| ✓ | accuracy | 92.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) |
| ✓ | accuracy | 99.7% | (/.f64 F (PI.f64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) l) |
| 139.0ms | 256× | 0 | valid |
Compiled 312 to 41 computations (86.9% saved)
ival-mult: 24.0ms (38.9% of total)ival-div: 23.0ms (37.3% of total)ival-sub: 5.0ms (8.1% of total)ival-add: 4.0ms (6.5% of total)...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)ival-pi: 1.0ms (1.6% of total)const: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* (PI) l) (/ (/ l F) (/ F (PI))))> |
#<alt (* (PI) l)> |
#<alt (PI)> |
#<alt (/ (/ l F) (/ F (PI)))> |
#<alt (* l (- (PI) (/ (/ (PI) F) F)))> |
#<alt (- (PI) (/ (/ (PI) F) F))> |
#<alt (/ (/ (PI) F) F)> |
#<alt (* (PI) (+ 1 (/ (/ -1 F) F)))> |
#<alt (* l (* (PI) (+ 1 (/ (/ -1 F) F))))> |
#<alt (+ 1 (/ (/ -1 F) F))> |
#<alt (- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))))> |
#<alt (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))> |
#<alt (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)))> |
#<alt (/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F)))))> |
#<alt (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))> |
#<alt (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))))> |
#<alt (* l l)> |
#<alt (/ F (PI))> |
#<alt (/ (PI) F)> |
#<alt (/ (/ -1 F) F)> |
#<alt (/ l (* F F))> |
#<alt (* (PI) (* (PI) (PI)))> |
#<alt (* (* l l) 1/3)> |
#<alt (* l (+ (PI) (/ (PI) (* F F))))> |
#<alt (/ (PI) (* F F))> |
| Outputs |
|---|
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* l (- (PI) (/ (PI) (pow F 2))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))> |
#<alt (* -1 (/ (* l (PI)) (pow F 2)))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (* l (PI))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
#<alt (/ (* l (PI)) (pow F 2))> |
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#<alt (/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))> |
#<alt (* l (PI))> |
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (* l (PI))> |
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (+ (* l (PI)) (/ (* l (PI)) (pow F 2)))> |
#<alt (+ (* l (PI)) (/ (* l (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))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | l | @ | inf | (* l (* (PI) (+ 1 (/ (/ -1 F) F)))) |
| 1.0ms | l | @ | 0 | (/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F))))) |
| 1.0ms | l | @ | 0 | (* l (* (PI) (+ 1 (/ (/ -1 F) F)))) |
| 1.0ms | F | @ | 0 | (/ F (PI)) |
| 1.0ms | F | @ | 0 | (/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F))))) |
| 1× | batch-egg-rewrite |
| 3490× | *-lowering-*.f32 |
| 3490× | *-lowering-*.f64 |
| 2248× | pow-lowering-pow.f64 |
| 2248× | pow-lowering-pow.f32 |
| 2218× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 181 |
| 1 | 284 | 159 |
| 2 | 2939 | 159 |
| 0 | 8592 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* (PI) l) (/ (/ l F) (/ F (PI)))) |
(* (PI) l) |
(PI) |
(/ (/ l F) (/ F (PI))) |
(* l (- (PI) (/ (/ (PI) F) F))) |
(- (PI) (/ (/ (PI) F) F)) |
(/ (/ (PI) F) F) |
(* (PI) (+ 1 (/ (/ -1 F) F))) |
(* l (* (PI) (+ 1 (/ (/ -1 F) F)))) |
(+ 1 (/ (/ -1 F) F)) |
(- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))) |
(* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))) |
(+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) |
(/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F))))) |
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))) |
(* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) |
(* l l) |
(/ F (PI)) |
(/ (PI) F) |
(/ (/ -1 F) F) |
(/ l (* F F)) |
(* (PI) (* (PI) (PI))) |
(* (* l l) 1/3) |
(* l (+ (PI) (/ (PI) (* F F)))) |
(/ (PI) (* F F)) |
| Outputs |
|---|
(+.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(+.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(+.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) |
(fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 l (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (*.f64 (PI.f64) l)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 l (*.f64 F F)) (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) l)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 l F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) |
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64))))))) (neg.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))) (-.f64 #s(literal 0 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (/.f64 (*.f64 (*.f64 l l) l) (*.f64 (*.f64 F (*.f64 F F)) (*.f64 F (*.f64 F F)))) (*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) |
(pow.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))) |
(*.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) |
(*.f64 (PI.f64) l) |
(*.f64 l (PI.f64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l)) |
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(PI.f64) |
(log.f64 (exp.f64 (PI.f64))) |
(exp.f64 (log.f64 (PI.f64))) |
(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 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (PI.f64) (PI.f64))) |
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) |
(expm1.f64 (log1p.f64 (PI.f64))) |
(log1p.f64 (expm1.f64 (PI.f64))) |
(pow.f64 (PI.f64) #s(literal 1 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 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) |
(pow.f64 (E.f64) (log.f64 (PI.f64))) |
(*.f64 (PI.f64) #s(literal 1 binary64)) |
(*.f64 (PI.f64) (log.f64 (E.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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64)) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
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(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(pow.f64 (/.f64 F (PI.f64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 F (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) F)) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) F)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) F))) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F)) |
(exp.f64 (*.f64 (log.f64 (/.f64 F (/.f64 #s(literal -1 binary64) F))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))) |
(/.f64 #s(literal 1 binary64) (*.f64 F (-.f64 #s(literal 0 binary64) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(literal -1 binary64) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (/.f64 #s(literal -1 binary64) F)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 F F)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (/.f64 #s(literal -1 binary64) F)))) |
(/.f64 (/.f64 #s(literal -1 binary64) F) F) |
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) F) |
(pow.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 F (/.f64 #s(literal -1 binary64) F)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 F (/.f64 #s(literal -1 binary64) F)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 F F) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) F) F)) |
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal 1 binary64) 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)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) l)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 l (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 F F))) |
(/.f64 l (*.f64 F F)) |
(/.f64 (/.f64 l F) F) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 l F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) l) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) l))) |
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 F (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 l F)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 F F)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) l)) (neg.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(pow.f64 (/.f64 (*.f64 F F) l) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 F l) F) #s(literal -1 binary64)) |
(pow.f64 (/.f64 F (/.f64 l F)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 F F) l) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 l (/.f64 (/.f64 #s(literal 1 binary64) F) F)) |
(*.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 #s(literal 1 binary64) (/.f64 l (*.f64 F F))) |
(*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) l) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) #s(literal 3/2 binary64))) |
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (PI.f64))) (log.f64 (PI.f64)))) |
(cbrt.f64 (*.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 3 binary64)) |
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) |
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) |
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) |
(*.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) (*.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 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.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 (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64))) |
(*.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))) |
(*.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) |
(+.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(+.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) l)) |
(-.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))) |
(fma.f64 (PI.f64) l (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 (PI.f64) (/.f64 l (*.f64 F F)) (*.f64 (PI.f64) l)) |
(fma.f64 l (PI.f64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 l (/.f64 (/.f64 (PI.f64) F) F) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 l F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (PI.f64) F) (/.f64 l F) (*.f64 (PI.f64) l)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 l (*.f64 F F)) (PI.f64) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (/.f64 (PI.f64) F) F) l (*.f64 (PI.f64) l)) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 l F)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(fma.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (/.f64 l (*.f64 F F)) #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) l)) |
(fma.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (/.f64 l F) #s(literal 1 binary64)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) |
(fma.f64 (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) l)) |
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))) (/.f64 (*.f64 (PI.f64) l) (/.f64 F (*.f64 (/.f64 l F) (PI.f64))))))) |
(/.f64 (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))) |
(*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) |
(exp.f64 (*.f64 (log.f64 (/.f64 F (/.f64 (PI.f64) F))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 F) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (PI.f64) (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(/.f64 (PI.f64) (*.f64 F F)) |
(/.f64 (/.f64 (PI.f64) F) F) |
(/.f64 (/.f64 (PI.f64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (PI.f64) F))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (/.f64 (PI.f64) F)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (-.f64 #s(literal 0 binary64) F)) |
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (PI.f64))) |
(/.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) F) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)))) |
(pow.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) F)) |
(*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) F) F)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F F))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) F) F))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) F) F))) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 #s(literal -1 binary64) F)) |
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (PI.f64) F)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) F) (/.f64 (cbrt.f64 (PI.f64)) F)) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F)) |
(*.f64 (pow.f64 (/.f64 F (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (cbrt.f64 (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 5124× | *-lowering-*.f32 |
| 5124× | *-lowering-*.f64 |
| 1710× | fnmsub-define |
| 1554× | /-lowering-/.f32 |
| 1554× | /-lowering-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 3620 |
| 1 | 334 | 3043 |
| 2 | 1102 | 2995 |
| 3 | 4785 | 2819 |
| 0 | 8347 | 2819 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2)) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(* l (PI)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(/ (* l (PI)) (pow F 2)) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(* -1 (/ (* l (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))) |
(* -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) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(PI) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -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 (/ (PI) (pow F 2))) |
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2)) |
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2)) |
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2)) |
(PI) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(PI) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(+ (PI) (* -1 (/ (PI) (pow F 2)))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (pow F 2))))) |
(* l (* (PI) (- 1 (/ 1 (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))) |
(/ -1 (pow F 2)) |
(/ (- (pow F 2) 1) (pow F 2)) |
(/ (- (pow F 2) 1) (pow F 2)) |
(/ (- (pow F 2) 1) (pow F 2)) |
1 |
(- 1 (/ 1 (pow F 2))) |
(- 1 (/ 1 (pow F 2))) |
(- 1 (/ 1 (pow F 2))) |
1 |
(- 1 (/ 1 (pow F 2))) |
(- 1 (/ 1 (pow F 2))) |
(- 1 (/ 1 (pow F 2))) |
(* -1 (/ (* l (PI)) (pow F 2))) |
(* l (- (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* l (- (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* l (- (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (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) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (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))) |
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (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 (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))) |
(* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))) |
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))) |
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))) |
(* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)) |
(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)))) |
(/ (* 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 (/ (* 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))) |
(* -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)) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4)) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4)) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4)) |
(* (pow l 2) (pow (PI) 2)) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(* (pow l 2) (pow (PI) 2)) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(pow l 2) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ F (PI)) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ (PI) F) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ -1 (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 2)) |
(/ l (pow F 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)) |
(* 1/3 (pow l 2)) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(/ (* l (PI)) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(* l (PI)) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(* l (PI)) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(+ (* l (PI)) (/ (* l (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)) |
| Outputs |
|---|
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (- (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2)))))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
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(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) |
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (pow.f64 F #s(literal 4 binary64)))) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4)) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4)) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4)) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (pow (PI) 2)) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(* (pow l 2) (pow (PI) 2)) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2))) |
(*.f64 l (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F #s(literal 4 binary64))))))) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(pow l 2) |
(*.f64 l l) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ F (PI)) |
(/.f64 F (PI.f64)) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ (PI) F) |
(/.f64 (PI.f64) F) |
(/ -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)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(/ l (pow F 2)) |
(/.f64 l (*.f64 F F)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* 1/3 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 1/3 binary64)) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (+ (PI) (/ (PI) (pow F 2)))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (* l (PI)) (pow F 2)) |
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2)) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(* l (PI)) |
(*.f64 l (PI.f64)) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(+ (* l (PI)) (/ (* l (PI)) (pow F 2))) |
(*.f64 l (+.f64 (PI.f64) (/.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)) |
(/.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)) |
Compiled 48941 to 4760 computations (90.3% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1934 | 9 | 1943 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1940 | 18 | 1958 |
| Status | Accuracy | Program |
|---|---|---|
| 29.3% | (/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F) | |
| 48.8% | (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) | |
| 40.5% | (/.f64 (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l) | |
| 27.7% | (/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) | |
| 51.9% | (/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) | |
| 27.7% | (/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) | |
| 16.1% | (/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) | |
| 22.9% | (/.f64 (neg.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 F F)) | |
| 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l))) | |
| ✓ | 73.6% | (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
| 29.3% | (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)) | |
| 37.4% | (*.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) (*.f64 l l)) | |
| 47.0% | (*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))))) | |
| ✓ | 66.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
| ✓ | 66.8% | (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
| ✓ | 66.8% | (*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
| 71.2% | (*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) | |
| ✓ | 71.7% | (*.f64 l (PI.f64)) |
Compiled 1141 to 359 computations (68.5% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) |
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F) |
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l))) |
(*.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) (*.f64 l l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))) |
(/.f64 (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l) |
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 (neg.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 F F)) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(*.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) |
(*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))))) |
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) |
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) |
(-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.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:
| 21.0ms | F |
| 16.0ms | (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) |
| 13.0ms | (*.f64 (PI.f64) l) |
| 13.0ms | (*.f64 F F) |
| 12.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | F |
| 99.6% | 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)))) |
| 99.6% | 2 | (*.f64 (PI.f64) l) |
| 79.5% | 1 | (/.f64 #s(literal 1 binary64) (*.f64 F F)) |
| 79.5% | 1 | (*.f64 F F) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) |
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F) |
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l))) |
(*.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) (*.f64 l l)) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))) |
(/.f64 (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l) |
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 (neg.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 F F)) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F))) |
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) |
(*.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F))))) |
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))) |
(*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))))) |
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) |
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) |
(*.f64 l (PI.f64)) |
2 calls:
| 14.0ms | l |
| 10.0ms | (*.f64 (PI.f64) l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | l |
| 99.1% | 2 | (*.f64 (PI.f64) l) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) |
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F) |
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
| Outputs |
|---|
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) |
(*.f64 l (PI.f64)) |
1 calls:
| 3.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 2 | l |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) |
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) |
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F) |
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))) |
| Outputs |
|---|
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) |
(*.f64 l (PI.f64)) |
1 calls:
| 3.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 2 | l |
Compiled 3 to 2 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 l (PI.f64)) |
| Outputs |
|---|
(*.f64 l (PI.f64)) |
2 calls:
| 1.0ms | l |
| 1.0ms | F |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.7% | 1 | F |
| 71.7% | 1 | l |
Compiled 6 to 4 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 45486.561911628814 | 27615269.082592808 |
Compiled 19 to 14 computations (26.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.15097076790593772 | 612.8724917433568 |
Compiled 19 to 14 computations (26.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.04805548794921852 | 195.0833730920041 |
| 14.0ms | 128× | 0 | valid |
Compiled 181 to 126 computations (30.4% saved)
ival-tan: 4.0ms (40.3% of total)ival-mult: 4.0ms (40.3% of total)ival-pi: 1.0ms (10.1% of total)ival-div: 1.0ms (10.1% of total)ival-sub: 1.0ms (10.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.04805548794921852 | 195.0833730920041 |
| 16.0ms | 128× | 0 | valid |
Compiled 165 to 118 computations (28.5% saved)
ival-tan: 4.0ms (45.6% of total)ival-mult: 3.0ms (34.2% of total)ival-pi: 1.0ms (11.4% of total)ival-div: 1.0ms (11.4% of total)ival-sub: 1.0ms (11.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 34× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
| 26× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 51 | 78 |
| 2 | 88 | 78 |
| 3 | 120 | 78 |
| 4 | 140 | 78 |
| 5 | 149 | 78 |
| 6 | 151 | 78 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))) |
(if (<=.f64 l #s(literal 63/2 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 l #s(literal 63/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))) |
(*.f64 l (PI.f64)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l)) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))) |
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l)) |
(if (<=.f64 l #s(literal 63/2 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 l #s(literal 63/2 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(if (<=.f64 l #s(literal 63/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))) |
(if (<=.f64 l #s(literal 63/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l)) |
(*.f64 l (PI.f64)) |
(*.f64 (PI.f64) l) |
| 6026× | *-lowering-*.f32 |
| 6026× | *-lowering-*.f64 |
| 5744× | *-lowering-*.f32 |
| 5744× | *-lowering-*.f64 |
| 5116× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 120 |
| 1 | 207 | 115 |
| 2 | 2078 | 115 |
| 0 | 9852 | 115 |
| 0 | 12 | 45 |
| 1 | 103 | 45 |
| 2 | 683 | 45 |
| 0 | 8588 | 45 |
| 0 | 149 | 2431 |
| 1 | 473 | 2071 |
| 2 | 1761 | 1867 |
| 0 | 8147 | 1867 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 182 to 96 computations (47.3% saved)
(abs F)
Compiled 468 to 210 computations (55.1% saved)
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