
Time bar (total: 12.6s)
| 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% | 50% | 0.1% | 0% | 50% | 0% | 4 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 5 |
| 37.5% | 18.7% | 31.2% | 0.1% | 0% | 50% | 0% | 6 |
| 43.8% | 21.9% | 28.1% | 0.1% | 0% | 50% | 0% | 7 |
| 65.6% | 32.8% | 17.2% | 0.1% | 0% | 50% | 0% | 8 |
| 70.3% | 35.1% | 14.8% | 0.1% | 0% | 50% | 0% | 9 |
| 82% | 41% | 9% | 0.1% | 0% | 50% | 0% | 10 |
| 84.8% | 42.3% | 7.6% | 0.1% | 0% | 50% | 0% | 11 |
| 90.8% | 45.4% | 4.6% | 0.1% | 0% | 50% | 0% | 12 |
Compiled 30 to 21 computations (30% saved)
| 1.0s | 8 256× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
ival-mult: 421.0ms (49.7% of total)ival-sub: 153.0ms (18.1% of total)ival-pi: 138.0ms (16.3% of total)ival-sqrt: 63.0ms (7.4% of total)ival-div: 53.0ms (6.3% of total)...in/eval/compile.rkt:110:19: 10.0ms (1.2% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 5 098× | *-lowering-*.f32 |
| 5 098× | *-lowering-*.f64 |
| 4 848× | accelerator-lowering-fma.f32 |
| 4 848× | accelerator-lowering-fma.f64 |
| 3 484× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 170 |
| 1 | 184 | 168 |
| 2 | 638 | 156 |
| 3 | 4449 | 156 |
| 0 | 19 | 28 |
| 1 | 57 | 28 |
| 2 | 189 | 26 |
| 3 | 903 | 26 |
| 4 | 4728 | 26 |
| 5 | 7444 | 26 |
| 0 | 8060 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| Outputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
| Inputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))) |
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) |
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t)))) |
| Outputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) |
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (+ (* v v) -1)))) (sqrt (+ 2 (* (* v v) -6)))) |
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (+ (* v v) -1)))) (sqrt (+ 2 (* (* v v) -6)))) |
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6)))) |
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t)))) |
(/ (+ 1 (* t (* t -5))) (* (* v (PI)) (* (sqrt (+ 2 (* (* t t) -6))) (- 1 (* t t))))) |
(abs v)
(negabs t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) t) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 73.0ms | 512× | 0 | valid |
Compiled 310 to 80 computations (74.2% saved)
ival-mult: 21.0ms (55.8% of total)ival-sub: 7.0ms (18.6% of total)ival-sqrt: 4.0ms (10.6% of total)ival-div: 3.0ms (8% of total)ival-pi: 2.0ms (5.3% of total)...in/eval/compile.rkt:110:19: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
Compiled 30 to 19 computations (36.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
| 5 098× | *-lowering-*.f32 |
| 5 098× | *-lowering-*.f64 |
| 4 848× | accelerator-lowering-fma.f32 |
| 4 848× | accelerator-lowering-fma.f64 |
| 3 484× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 123 |
| 1 | 57 | 123 |
| 2 | 189 | 113 |
| 3 | 903 | 113 |
| 4 | 4728 | 113 |
| 5 | 7444 | 113 |
| 0 | 8060 | 105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
(* (PI) t) |
(PI) |
t |
(sqrt (* 2 (- 1 (* 3 (* v v))))) |
(* 2 (- 1 (* 3 (* v v)))) |
2 |
(- 1 (* 3 (* v v))) |
(* 3 (* v v)) |
3 |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(- 1 (* 5 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
(*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt (* 2 (- 1 (* 3 (* v v))))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(* 2 (- 1 (* 3 (* v v)))) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(- 1 (* 3 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) |
(* 3 (* v v)) |
(*.f64 (*.f64 v v) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
| 32.0ms | 256× | 0 | valid |
Compiled 125 to 21 computations (83.2% saved)
ival-mult: 13.0ms (61.6% of total)ival-sub: 3.0ms (14.2% of total)ival-sqrt: 2.0ms (9.5% of total)ival-pi: 1.0ms (4.7% of total)ival-div: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 2 (- 1 (* 3 (* v v))))> |
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))> |
#<alt (- 1 (* 5 (* v v)))> |
#<alt (* 5 (* v v))> |
#<alt (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))> |
#<alt (* (PI) t)> |
#<alt (* 3 (* v v))> |
| Outputs |
|---|
#<alt 2> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (* -6 (pow v 2))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* -6 (pow v 2))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))> |
#<alt (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)> |
#<alt (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))> |
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))> |
#<alt (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))> |
#<alt (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))> |
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))> |
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))> |
#<alt (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))> |
#<alt (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))> |
#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))> |
#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
#<alt (* 3 (pow v 2))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | 0 | (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| 3.0ms | v | @ | inf | (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| 2.0ms | v | @ | 0 | (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| 1.0ms | t | @ | 0 | (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
| 1.0ms | t | @ | inf | (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| 1× | batch-egg-rewrite |
| 6 648× | accelerator-lowering-fma.f32 |
| 6 648× | accelerator-lowering-fma.f64 |
| 6 256× | *-lowering-*.f32 |
| 6 256× | *-lowering-*.f64 |
| 3 752× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 71 |
| 1 | 115 | 71 |
| 2 | 910 | 65 |
| 0 | 8745 | 60 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (- 1 (* 3 (* v v)))) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
(* 5 (* v v)) |
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
(* (PI) t) |
(* 3 (* v v)) |
| Outputs |
|---|
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 3 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) v)) (-.f64 #s(literal 0 binary64) v) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v #s(literal -3 binary64))) v #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) #s(literal 9 binary64))))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))))) |
(+.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (*.f64 v v))) |
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(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v)) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(neg.f64 (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 #s(literal 5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))) |
(*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -5 binary64)) |
(*.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 (*.f64 v #s(literal 5 binary64)) v) |
(*.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) v))) |
(*.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 (*.f64 v #s(literal -5 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 5 binary64)) |
(*.f64 (neg.f64 (*.f64 v #s(literal -5 binary64))) v) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (PI.f64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (PI.f64) t))) |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) t) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (PI.f64) t))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64))) t) |
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(*.f64 t (PI.f64)) |
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (PI.f64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
(*.f64 #s(literal 3 binary64) (*.f64 v v)) |
(*.f64 v (*.f64 #s(literal 3 binary64) v)) |
(*.f64 (*.f64 v v) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) v) v) |
| 1× | egg-herbie |
| 23 096× | accelerator-lowering-fma.f32 |
| 23 096× | accelerator-lowering-fma.f64 |
| 5 878× | *-lowering-*.f32 |
| 5 878× | *-lowering-*.f64 |
| 3 548× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2099 |
| 1 | 570 | 1999 |
| 2 | 2396 | 1884 |
| 0 | 8003 | 1800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* -6 (pow v 2))) |
(+ 2 (* -6 (pow v 2))) |
(+ 2 (* -6 (pow v 2))) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
(* 3 (pow v 2)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* -6 (pow v 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) |
(+ 2 (* -6 (pow v 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) |
(+ 2 (* -6 (pow v 2))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) |
(* -6 (pow v 2)) |
(*.f64 #s(literal -6 binary64) (*.f64 v v)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))) v) v) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))) v) v) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))) v) v) |
(* -6 (pow v 2)) |
(*.f64 #s(literal -6 binary64) (*.f64 v v)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))) v) v) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))) v) v) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v))) v) v) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 v v) #s(literal -5/2 binary64)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -53/8 binary64)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -5/2 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -241/16 binary64) (*.f64 v v)) #s(literal -53/8 binary64)))) (/.f64 #s(literal -5/2 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 v (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t))) (/.f64 #s(literal -5/18 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 v v) t)))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 (/.f64 (/.f64 #s(literal -5/72 binary64) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (/.f64 #s(literal 2/9 binary64) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -25/1296 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 4 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (-.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal -2 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))))))) v) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -5 binary64)) (*.f64 v (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t))) (/.f64 #s(literal -5/18 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 v v) t)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 t (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 (/.f64 (/.f64 #s(literal -5/72 binary64) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))) (+.f64 (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 (/.f64 #s(literal 2/9 binary64) t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 v v) (*.f64 v v))))))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
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(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(*.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1/24 binary64))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(*.f64 v (*.f64 (+.f64 (*.f64 t (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))))) (*.f64 t (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -3 binary64)))))) #s(literal -1 binary64))) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(* 3 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
Compiled 25 171 to 1 734 computations (93.1% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 8 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 8 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 98.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 99.4% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ▶ | 99.6% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
| ▶ | 98.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| 99.5% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))) |
Compiled 400 to 272 computations (32% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) |
| 6 606× | accelerator-lowering-fma.f32 |
| 6 606× | accelerator-lowering-fma.f64 |
| 5 540× | *-lowering-*.f32 |
| 5 540× | *-lowering-*.f64 |
| 2 866× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 440 |
| 1 | 106 | 440 |
| 2 | 348 | 440 |
| 3 | 1630 | 440 |
| 4 | 4187 | 440 |
| 0 | 8324 | 413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) |
(* (/ (+ 1 (* v (* v -5))) (PI)) 1) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) |
(* t (- 1 (* v v))) |
t |
(- 1 (* v v)) |
(* v v) |
(sqrt (+ 2 (* -6 (* v v)))) |
(+ 2 (* -6 (* v v))) |
2 |
(* -6 (* v v)) |
-6 |
(/ 1 (* (PI) (* t (sqrt 2)))) |
1 |
(* (PI) (* t (sqrt 2))) |
(PI) |
(* t (sqrt 2)) |
t |
(sqrt 2) |
2 |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))) |
(* (* (PI) t) (sqrt 2)) |
(* (PI) t) |
(PI) |
t |
(sqrt 2) |
2 |
(- 1 (* v v)) |
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) (- 1 (* v v))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (PI) t) |
(PI) |
t |
(sqrt (+ 2 (* -6 (* v v)))) |
(+ 2 (* -6 (* v v))) |
2 |
(* -6 (* v v)) |
-6 |
(* v v) |
(- 1 (* v v)) |
(/ (* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) (* (* (PI) t) (- 1 (* v v)))) |
(* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) |
(/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(sqrt (+ 2 (* -6 (* v v)))) |
(+ 2 (* -6 (* v v))) |
2 |
(* -6 (* v v)) |
-6 |
(* v v) |
(* (* (PI) t) (- 1 (* v v))) |
(* (PI) t) |
(PI) |
t |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
(* (/ (+ 1 (* v (* v -5))) (PI)) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (PI.f64)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) |
(*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
(* t (- 1 (* v v))) |
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
t |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
(sqrt (+ 2 (* -6 (* v v)))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(+ 2 (* -6 (* v v))) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* -6 (* v v)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
-6 |
#s(literal -6 binary64) |
(/ 1 (* (PI) (* t (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (PI) (* t (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(PI) |
(PI.f64) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))) |
(- 1 (* 5 (* v v))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (* (PI) t) (sqrt 2)) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) (- 1 (* v v))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) t)) |
(+ 1 (* v (* v -5))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt (+ 2 (* -6 (* v v)))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(+ 2 (* -6 (* v v))) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* -6 (* v v)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
-6 |
#s(literal -6 binary64) |
(* v v) |
(*.f64 v v) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/ (* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) (* (* (PI) t) (- 1 (* v v)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
(* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(+ 1 (* v (* v -5))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(sqrt (+ 2 (* -6 (* v v)))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(+ 2 (* -6 (* v v))) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* -6 (* v v)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
-6 |
#s(literal -6 binary64) |
(* v v) |
(*.f64 v v) |
(* (* (PI) t) (- 1 (* v v))) |
(*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -6 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 98.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -6 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -6 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
| ✓ | accuracy | 99.3% | (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) |
| 76.0ms | 256× | 0 | valid |
Compiled 450 to 40 computations (91.1% saved)
ival-mult: 21.0ms (46.5% of total)ival-div: 15.0ms (33.2% of total)ival-sqrt: 3.0ms (6.6% of total)ival-add: 2.0ms (4.4% of total)ival-sub: 2.0ms (4.4% of total)ival-pi: 1.0ms (2.2% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ 1 (* v (* v -5))) (PI)) 1)> |
#<alt (/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))> |
#<alt (/ (+ 1 (* v (* v -5))) (PI))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (/ 1 (* (PI) (* t (sqrt 2))))> |
#<alt (* (PI) (* t (sqrt 2)))> |
#<alt (PI)> |
#<alt (* t (sqrt 2))> |
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))> |
#<alt (- 1 (* 5 (* v v)))> |
#<alt (* 5 (* v v))> |
#<alt (* v v)> |
#<alt (/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) (- 1 (* v v)))> |
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v)))))> |
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) t))> |
#<alt (* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1)> |
#<alt (/ (* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) (* (* (PI) t) (- 1 (* v v))))> |
#<alt (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v)))))> |
#<alt (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))> |
#<alt (* -6 (* v v))> |
#<alt (* v (* v -5))> |
#<alt (* (* (PI) t) (sqrt 2))> |
#<alt (* (PI) t)> |
| Outputs |
|---|
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)> |
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (/ 5 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))> |
#<alt (/ 5 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))> |
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)> |
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#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* -5 (sqrt 1/2)) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow v 2) (+ (* -5/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2)))))) (* 15/4 (/ 1 (sqrt 1/2)))))))))> |
#<alt (* -5 (* v (sqrt -1/6)))> |
#<alt (* v (+ (* -5 (sqrt -1/6)) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2)))))> |
#<alt (* v (- (+ (* -5 (sqrt -1/6)) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))> |
#<alt (* v (- (+ (* -5 (sqrt -1/6)) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))> |
#<alt (* 5 (* v (sqrt -1/6)))> |
#<alt (* -1 (* v (+ (* -5 (sqrt -1/6)) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))))> |
#<alt (* -1 (* v (- (+ (* -5 (sqrt -1/6)) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6)))))))> |
#<alt (* -1 (* v (- (+ (* -5 (sqrt -1/6)) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6)))))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt 2))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2))))))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2)))))))))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3))))))))))))> |
#<alt (* -1 (* t (* (pow v 3) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))> |
#<alt (* t (* (pow v 3) (sqrt -6)))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | 0 | (/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) |
| 4.0ms | v | @ | 0 | (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) |
| 2.0ms | t | @ | 0 | (/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) |
| 2.0ms | v | @ | inf | (/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) |
| 1.0ms | v | @ | inf | (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) |
| 1× | batch-egg-rewrite |
| 4 352× | /-lowering-/.f32 |
| 4 352× | /-lowering-/.f64 |
| 3 772× | *-lowering-*.f32 |
| 3 772× | *-lowering-*.f64 |
| 3 142× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 255 |
| 1 | 229 | 255 |
| 2 | 1937 | 254 |
| 0 | 8502 | 235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ 1 (* v (* v -5))) (PI)) 1) |
(/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(/ 1 (* (PI) (* t (sqrt 2)))) |
(* (PI) (* t (sqrt 2))) |
(PI) |
(* t (sqrt 2)) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
(* 5 (* v v)) |
(* v v) |
(/ (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) (- 1 (* v v))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (sqrt (+ 2 (* -6 (* v v))))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) |
(/ (* (/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) 1) (* (* (PI) t) (- 1 (* v v)))) |
(/ (+ 1 (* v (* v -5))) (sqrt (+ 2 (* -6 (* v v))))) |
(* (* t (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) |
(* -6 (* v v)) |
(* v (* v -5)) |
(* (* (PI) t) (sqrt 2)) |
(* (PI) t) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (PI.f64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))) (PI.f64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (PI.f64)) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (PI.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))) (PI.f64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)))) (neg.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (neg.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (PI.f64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (PI.f64))) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(pow.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 #s(literal -1 binary64) (PI.f64))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal -5 binary64)) v) |
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 #s(literal 5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 5 binary64)) |
(*.f64 (*.f64 v #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v #s(literal 5 binary64))) v) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) #s(literal 1 binary64))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) |
(/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(pow.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(/.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(*.f64 t (PI.f64)) |
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
| 1× | egg-herbie |
| 14 922× | accelerator-lowering-fma.f32 |
| 14 922× | accelerator-lowering-fma.f64 |
| 5 610× | *-lowering-*.f32 |
| 5 610× | *-lowering-*.f64 |
| 3 678× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 7937 |
| 1 | 1211 | 7078 |
| 2 | 4820 | 6833 |
| 0 | 8256 | 6537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
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(sqrt 1/2) |
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(/ (sqrt 1/2) (* t (PI))) |
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(sqrt 1/2) |
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(* 5 (* v (sqrt -1/6))) |
(* -1 (* v (+ (* -5 (sqrt -1/6)) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2)))))) |
(* -1 (* v (- (+ (* -5 (sqrt -1/6)) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))) |
(* -1 (* v (- (+ (* -5 (sqrt -1/6)) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (/ (sqrt -1/6) (pow v 2))))))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
| Outputs |
|---|
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64)))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64)))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64)))) |
(* -5 (/ (pow v 2) (PI))) |
(*.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64)))) |
(* -5 (/ (pow v 2) (PI))) |
(*.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (PI.f64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 #s(literal -5 binary64) (PI.f64)))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) t)) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))))))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))) (*.f64 v (*.f64 v (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) t)) (+.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 135/32 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 (PI.f64) t)) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(*.f64 #s(literal 5 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t) v)) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -25/2592 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (+.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)))) (-.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))))) v) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(*.f64 #s(literal -5 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t) v)) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(/.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (*.f64 v v))) (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 5/36 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -25/2592 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (+.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))) (+.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)))) (-.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))))) (-.f64 #s(literal 0 binary64) v)) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
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(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 t #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64))))))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(*.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 t (*.f64 v v)))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 t (*.f64 v v)) (-.f64 #s(literal 0 binary64) t))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 t (*.f64 v v)) (-.f64 #s(literal 0 binary64) t)))))) |
(* t (* (pow v 3) (sqrt -6))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 t (*.f64 v v)))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(*.f64 (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 t (*.f64 v v)) (-.f64 #s(literal 0 binary64) t)))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(*.f64 (+.f64 (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 t (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 4 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 t (*.f64 v v)) (-.f64 #s(literal 0 binary64) t))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
Compiled 82 154 to 4 745 computations (94.2% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 461 | 9 | 2 470 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 467 | 11 | 2 478 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ▶ | 98.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| ▶ | 98.7% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
| ▶ | 98.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
| 98.1% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) | |
| 98.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) | |
| ▶ | 98.7% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ▶ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| 98.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) | |
| ✓ | 98.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| 98.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) t)) |
Compiled 308 to 242 computations (21.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) t) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| 5 578× | accelerator-lowering-fma.f32 |
| 5 578× | accelerator-lowering-fma.f64 |
| 5 312× | *-lowering-*.f32 |
| 5 312× | *-lowering-*.f64 |
| 2 556× | neg-lowering-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 191 |
| 1 | 65 | 191 |
| 2 | 135 | 191 |
| 3 | 359 | 191 |
| 4 | 1191 | 191 |
| 5 | 2592 | 191 |
| 6 | 5487 | 191 |
| 0 | 8692 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ 1 (PI)) (sqrt 2)) t) |
(/ (/ 1 (PI)) (sqrt 2)) |
(/ 1 (PI)) |
1 |
(PI) |
(sqrt 2) |
2 |
t |
(/ (sqrt 1/2) (* (PI) t)) |
(sqrt 1/2) |
1/2 |
(* (PI) t) |
(PI) |
t |
(/ (/ (/ 1 (PI)) t) (sqrt 2)) |
(/ (/ 1 (PI)) t) |
(/ 1 (PI)) |
1 |
(PI) |
t |
(sqrt 2) |
2 |
(/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* t (sqrt 2))) |
(* (/ (+ 1 (* v (* v -5))) (PI)) 1) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(* t (sqrt 2)) |
t |
(sqrt 2) |
2 |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (* (- 1 (* v v)) (sqrt 2))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (PI) t) |
(PI) |
t |
(* (- 1 (* v v)) (sqrt 2)) |
(- 1 (* v v)) |
(* v v) |
(sqrt 2) |
2 |
| Outputs |
|---|
(/ (/ (/ 1 (PI)) (sqrt 2)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (/ 1 (PI)) (sqrt 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (sqrt 1/2) (* (PI) t)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(/ (/ (/ 1 (PI)) t) (sqrt 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (/ 1 (PI)) t) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* t (sqrt 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(* (/ (+ 1 (* v (* v -5))) (PI)) 1) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(* t (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (* (- 1 (* v v)) (sqrt 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) t)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(* (- 1 (* v v)) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| 91.0ms | 256× | 0 | valid |
Compiled 197 to 30 computations (84.8% saved)
ival-div: 46.0ms (72.1% of total)ival-mult: 10.0ms (15.7% of total)ival-sqrt: 3.0ms (4.7% of total)ival-pi: 1.0ms (1.6% of total)ival-add: 1.0ms (1.6% of total)ival-sub: 1.0ms (1.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (/ 1 (PI)) (sqrt 2)) t)> |
#<alt (/ (/ 1 (PI)) (sqrt 2))> |
#<alt (/ 1 (PI))> |
#<alt (PI)> |
#<alt (/ (sqrt 1/2) (* (PI) t))> |
#<alt (sqrt 1/2)> |
#<alt (* (PI) t)> |
#<alt (/ (/ (/ 1 (PI)) t) (sqrt 2))> |
#<alt (/ (/ 1 (PI)) t)> |
#<alt (* (/ (+ 1 (* v (* v -5))) (PI)) 1)> |
#<alt (/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* t (sqrt 2)))> |
#<alt (/ (+ 1 (* v (* v -5))) (PI))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (* (- 1 (* v v)) (sqrt 2)))> |
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) t))> |
#<alt (* v (* v -5))> |
#<alt (sqrt 2)> |
#<alt (* t (sqrt 2))> |
| Outputs |
|---|
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (/ 5 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))> |
#<alt (/ 5 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))> |
#<alt (* -5 (/ (pow v 2) (* t (PI))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))> |
#<alt (* -5 (/ (pow v 2) (* t (PI))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (PI)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | 0 | (/ (/ 1 (PI)) t) |
| 1.0ms | t | @ | inf | (/ (sqrt 1/2) (* (PI) t)) |
| 1.0ms | v | @ | 0 | (/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* t (sqrt 2))) |
| 1.0ms | t | @ | 0 | (/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (* (- 1 (* v v)) (sqrt 2))) |
| 0.0ms | t | @ | 0 | (/ (sqrt 1/2) (* (PI) t)) |
| 1× | batch-egg-rewrite |
| 5 376× | /-lowering-/.f32 |
| 5 376× | /-lowering-/.f64 |
| 5 062× | *-lowering-*.f32 |
| 5 062× | *-lowering-*.f64 |
| 3 554× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 123 |
| 1 | 166 | 120 |
| 2 | 1251 | 120 |
| 0 | 8777 | 114 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ 1 (PI)) (sqrt 2)) t) |
(/ (/ 1 (PI)) (sqrt 2)) |
(/ 1 (PI)) |
(PI) |
(/ (sqrt 1/2) (* (PI) t)) |
(sqrt 1/2) |
(* (PI) t) |
(/ (/ (/ 1 (PI)) t) (sqrt 2)) |
(/ (/ 1 (PI)) t) |
(* (/ (+ 1 (* v (* v -5))) (PI)) 1) |
(/ (* (/ (+ 1 (* v (* v -5))) (PI)) 1) (* t (sqrt 2))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(/ (/ (+ 1 (* v (* v -5))) (* (PI) t)) (* (- 1 (* v v)) (sqrt 2))) |
(/ (+ 1 (* v (* v -5))) (* (PI) t)) |
(* v (* v -5)) |
(sqrt 2) |
(* t (sqrt 2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) t)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) t))) |
(neg.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (PI.f64)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (*.f64 (PI.f64) t)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (PI.f64) t)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) t))) |
(*.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (PI.f64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) t)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) t))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) t))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (PI.f64) t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(*.f64 v (*.f64 (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal -5 binary64)) v) |
(*.f64 (*.f64 v #s(literal -5 binary64)) (*.f64 v #s(literal 1 binary64))) |
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) t)) |
| 1× | egg-herbie |
| 19 770× | accelerator-lowering-fma.f32 |
| 19 770× | accelerator-lowering-fma.f64 |
| 5 456× | *-lowering-*.f32 |
| 5 456× | *-lowering-*.f64 |
| 2 418× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 2155 |
| 1 | 216 | 2155 |
| 2 | 656 | 2155 |
| 3 | 2246 | 1944 |
| 4 | 4628 | 1824 |
| 0 | 8071 | 1733 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ 1 (* t (PI))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(* -5 (/ (pow v 2) (* t (PI)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* -5 (/ (pow v 2) (* t (PI)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
| Outputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
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(/ 1 (* t (* (PI) (sqrt 2)))) |
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(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 5 binary64)))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 5 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 5 binary64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ 1 (* t (PI))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* -5 (/ (pow v 2) (* t (PI)))) |
(/.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) t) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* -5 (/ (pow v 2) (* t (PI)))) |
(/.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) t) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
Compiled 43 655 to 4 364 computations (90% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 078 | 7 | 2 085 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 082 | 14 | 2 096 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | 98.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| ✓ | 98.7% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | 98.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
| ▶ | 98.7% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| 98.0% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) | |
| ▶ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) | |
| ✓ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| ▶ | 98.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
| ▶ | 98.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | 98.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| 98.1% | (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) | |
| ▶ | 98.5% | (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
Compiled 338 to 267 computations (21% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) t) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| 6 152× | accelerator-lowering-fma.f32 |
| 6 152× | accelerator-lowering-fma.f64 |
| 4 108× | *-lowering-*.f32 |
| 4 108× | *-lowering-*.f64 |
| 2 722× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 247 |
| 1 | 85 | 247 |
| 2 | 214 | 243 |
| 3 | 716 | 243 |
| 4 | 2753 | 243 |
| 5 | 4436 | 243 |
| 6 | 7100 | 243 |
| 0 | 8461 | 232 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(* (sqrt 2) t) |
(sqrt 2) |
2 |
t |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
1/2 |
t |
(PI) |
(/ 1 (* (* (PI) t) (sqrt 2))) |
1 |
(* (* (PI) t) (sqrt 2)) |
(* (PI) t) |
(PI) |
t |
(sqrt 2) |
2 |
(* (/ (/ (/ 1 t) (PI)) (sqrt 2)) (+ (* (* v v) -4) 1)) |
(/ (/ (/ 1 t) (PI)) (sqrt 2)) |
(/ (/ 1 t) (PI)) |
(/ 1 t) |
1 |
t |
(PI) |
(sqrt 2) |
2 |
(+ (* (* v v) -4) 1) |
(* (* v v) -4) |
(* v v) |
v |
-4 |
(/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))) |
1 |
(/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI))))) |
(- 1 (* v v)) |
(* v v) |
v |
(/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(* v -5) |
-5 |
(/ t (/ (pow 2 -1/2) (PI))) |
t |
(/ (pow 2 -1/2) (PI)) |
(pow 2 -1/2) |
2 |
-1/2 |
(PI) |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(* (sqrt 2) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (/ (sqrt 1/2) t) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
t |
(PI) |
(PI.f64) |
(/ 1 (* (* (PI) t) (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
1 |
#s(literal 1 binary64) |
(* (* (PI) t) (sqrt 2)) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (/ (/ (/ 1 t) (PI)) (sqrt 2)) (+ (* (* v v) -4) 1)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (/ (/ 1 t) (PI)) (sqrt 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (/ 1 t) (PI)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
1 |
#s(literal 1 binary64) |
t |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ (* (* v v) -4) 1) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) |
(* (* v v) -4) |
(*.f64 (*.f64 v v) #s(literal -4 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-4 |
#s(literal -4 binary64) |
(/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (PI.f64) t)))) |
1 |
#s(literal 1 binary64) |
(/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI))))) |
(/.f64 (/.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64))) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
v |
(/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(/ t (/ (pow 2 -1/2) (PI))) |
(*.f64 (PI.f64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
t |
(/ (pow 2 -1/2) (PI)) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) |
(pow 2 -1/2) |
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
2 |
#s(literal 2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))) |
| ✓ | accuracy | 98.4% | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 v v) #s(literal -4 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| 72.0ms | 256× | 0 | valid |
Compiled 249 to 38 computations (84.7% saved)
ival-div: 23.0ms (47.3% of total)ival-mult: 12.0ms (24.7% of total)ival-sqrt: 4.0ms (8.2% of total)ival-pow: 4.0ms (8.2% of total)ival-add: 2.0ms (4.1% of total)ival-pi: 1.0ms (2.1% of total)...in/eval/compile.rkt:110:19: 1.0ms (2.1% of total)ival-sub: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t))> |
#<alt (/ (+ 1 (* v (* v -5))) (PI))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (/ (/ (sqrt 1/2) t) (PI))> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (sqrt 1/2)> |
#<alt (PI)> |
#<alt (/ 1 (* (* (PI) t) (sqrt 2)))> |
#<alt (* (* (PI) t) (sqrt 2))> |
#<alt (* (PI) t)> |
#<alt (* (/ (/ (/ 1 t) (PI)) (sqrt 2)) (+ (* (* v v) -4) 1))> |
#<alt (/ (/ (/ 1 t) (PI)) (sqrt 2))> |
#<alt (/ (/ 1 t) (PI))> |
#<alt (/ 1 t)> |
#<alt (/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI))))))> |
#<alt (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))> |
#<alt (- 1 (* v v))> |
#<alt (* v v)> |
#<alt (* (sqrt 2) t)> |
#<alt (* (* v v) -4)> |
#<alt (/ (pow 2 -1/2) (PI))> |
#<alt (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI))))> |
| Outputs |
|---|
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 (* t (PI)))> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ 1 t)> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (- (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI))))))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (- (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (- (* (pow v 2) (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (* -1 (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* 5 (/ (sqrt 1/2) (* t (PI))))> |
#<alt (- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 4) (PI)))))))> |
#<alt (- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* -1 (/ (- (* -1 (/ (sqrt 1/2) (* t (PI)))) (* -5 (/ (sqrt 1/2) (* t (PI))))) (pow v 4))))))> |
#<alt (* 5 (/ (sqrt 1/2) (* t (PI))))> |
#<alt (- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 4) (PI)))))))> |
#<alt (- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* -1 (/ (- (* -1 (/ (sqrt 1/2) (* t (PI)))) (* -5 (/ (sqrt 1/2) (* t (PI))))) (pow v 4))))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2)))))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (+ (* (pow v 2) (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2))))) (/ (* t (PI)) (sqrt 1/2)))> |
#<alt (+ (* (pow v 2) (- (+ (* -1 (/ (* t (PI)) (sqrt 1/2))) (* 5 (* (pow v 2) (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2))))))) (* -5 (/ (* t (PI)) (sqrt 1/2))))) (/ (* t (PI)) (sqrt 1/2)))> |
#<alt (+ (* (pow v 2) (- (+ (* -1 (/ (* t (PI)) (sqrt 1/2))) (* (pow v 2) (- (* 25 (* (pow v 2) (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2)))))) (* -5 (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2)))))))) (* -5 (/ (* t (PI)) (sqrt 1/2))))) (/ (* t (PI)) (sqrt 1/2)))> |
#<alt (* 1/5 (/ (* t (PI)) (sqrt 1/2)))> |
#<alt (- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (* 1/5 (/ (* t (PI)) (sqrt 1/2)))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))> |
#<alt (- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/5 (/ (* t (PI)) (sqrt 1/2))) (* 1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))> |
#<alt (- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/25 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 6))) (* 1/5 (/ (* t (PI)) (sqrt 1/2))))) (+ (* -1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))))> |
#<alt (* 1/5 (/ (* t (PI)) (sqrt 1/2)))> |
#<alt (- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (* 1/5 (/ (* t (PI)) (sqrt 1/2)))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))> |
#<alt (- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/5 (/ (* t (PI)) (sqrt 1/2))) (* 1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))> |
#<alt (- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/25 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 6))) (* 1/5 (/ (* t (PI)) (sqrt 1/2))))) (+ (* -1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt (/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (* -1 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* -1 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (* -4 (pow v 2))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI)))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | -inf | (- 1 (* v v)) |
| 1.0ms | v | @ | inf | (/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))) |
| 1.0ms | t | @ | 0 | (* (/ (/ (/ 1 t) (PI)) (sqrt 2)) (+ (* (* v v) -4) 1)) |
| 1.0ms | t | @ | 0 | (/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))) |
| 1.0ms | t | @ | inf | (/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))) |
| 1× | batch-egg-rewrite |
| 4 280× | /-lowering-/.f32 |
| 4 280× | /-lowering-/.f64 |
| 4 126× | *-lowering-*.f32 |
| 4 126× | *-lowering-*.f64 |
| 3 274× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 177 |
| 1 | 222 | 169 |
| 2 | 1944 | 169 |
| 0 | 8126 | 162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt 2) t)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
(PI) |
(/ 1 (* (* (PI) t) (sqrt 2))) |
(* (* (PI) t) (sqrt 2)) |
(* (PI) t) |
(* (/ (/ (/ 1 t) (PI)) (sqrt 2)) (+ (* (* v v) -4) 1)) |
(/ (/ (/ 1 t) (PI)) (sqrt 2)) |
(/ (/ 1 t) (PI)) |
(/ 1 t) |
(/ 1 (/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))))) |
(/ (- 1 (* v v)) (/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI))))) |
(- 1 (* v v)) |
(* v v) |
(* (sqrt 2) t) |
(* (* v v) -4) |
(/ (pow 2 -1/2) (PI)) |
(/ (+ 1 (* v (* v -5))) (/ t (/ (pow 2 -1/2) (PI)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (-.f64 #s(literal 0 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (-.f64 #s(literal 0 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) t) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (PI.f64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64))) t) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64)))) |
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(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
| 1× | egg-herbie |
| 22 686× | accelerator-lowering-fma.f32 |
| 22 686× | accelerator-lowering-fma.f64 |
| 7 228× | *-lowering-*.f32 |
| 7 228× | *-lowering-*.f64 |
| 3 212× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 3602 |
| 1 | 511 | 3537 |
| 2 | 1798 | 3284 |
| 0 | 8301 | 3159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 (* t (PI))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (- (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI))))))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (- (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (- (* (pow v 2) (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (* -1 (- (* -5 (/ (sqrt 1/2) (* t (PI)))) (* -1 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (/ (sqrt 1/2) (* t (PI)))))) (/ (sqrt 1/2) (* t (PI)))) |
(* 5 (/ (sqrt 1/2) (* t (PI)))) |
(- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 4) (PI))))))) |
(- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* -1 (/ (- (* -1 (/ (sqrt 1/2) (* t (PI)))) (* -5 (/ (sqrt 1/2) (* t (PI))))) (pow v 4)))))) |
(* 5 (/ (sqrt 1/2) (* t (PI)))) |
(- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (* -5 (/ (sqrt 1/2) (* t (* (pow v 4) (PI))))))) |
(- (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -1 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt 1/2) (* t (PI)))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))) (+ (* -5 (/ (sqrt 1/2) (* t (* (pow v 6) (PI))))) (* -1 (/ (- (* -1 (/ (sqrt 1/2) (* t (PI)))) (* -5 (/ (sqrt 1/2) (* t (PI))))) (pow v 4)))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (* (PI) (- 1 (pow v 2))))) |
(/ (* t (PI)) (sqrt 1/2)) |
(+ (* (pow v 2) (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2))))) (/ (* t (PI)) (sqrt 1/2))) |
(+ (* (pow v 2) (- (+ (* -1 (/ (* t (PI)) (sqrt 1/2))) (* 5 (* (pow v 2) (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2))))))) (* -5 (/ (* t (PI)) (sqrt 1/2))))) (/ (* t (PI)) (sqrt 1/2))) |
(+ (* (pow v 2) (- (+ (* -1 (/ (* t (PI)) (sqrt 1/2))) (* (pow v 2) (- (* 25 (* (pow v 2) (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2)))))) (* -5 (- (* -1 (/ (* t (PI)) (sqrt 1/2))) (* -5 (/ (* t (PI)) (sqrt 1/2)))))))) (* -5 (/ (* t (PI)) (sqrt 1/2))))) (/ (* t (PI)) (sqrt 1/2))) |
(* 1/5 (/ (* t (PI)) (sqrt 1/2))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (* 1/5 (/ (* t (PI)) (sqrt 1/2)))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/5 (/ (* t (PI)) (sqrt 1/2))) (* 1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/25 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 6))) (* 1/5 (/ (* t (PI)) (sqrt 1/2))))) (+ (* -1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))) |
(* 1/5 (/ (* t (PI)) (sqrt 1/2))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (* 1/5 (/ (* t (PI)) (sqrt 1/2)))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/5 (/ (* t (PI)) (sqrt 1/2))) (* 1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/25 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 6))) (* 1/5 (/ (* t (PI)) (sqrt 1/2))))) (+ (* -1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
1 |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* -1 (pow v 2))) |
(* -1 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* -1 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(* -4 (pow v 2)) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
| Outputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal -5 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal -5 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal -5 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal -5 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal -5 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (/.f64 #s(literal -5 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(* -5 (/ (pow v 2) (PI))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(* -5 (/ (pow v 2) (PI))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
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(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/5 (/ (* t (PI)) (sqrt 1/2))) (* 1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/5 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -4/25 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 4/125 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/25 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 6))) (* 1/5 (/ (* t (PI)) (sqrt 1/2))))) (+ (* -1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -4/625 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/5 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -4/25 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 4/125 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(* 1/5 (/ (* t (PI)) (sqrt 1/2))) |
(*.f64 (PI.f64) (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/5 binary64))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (* 1/5 (/ (* t (PI)) (sqrt 1/2)))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/5 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -4/25 binary64))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/5 (/ (* t (PI)) (sqrt 1/2))) (* 1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/5 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -4/25 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 4/125 binary64)) (pow.f64 v #s(literal 4 binary64))))) |
(- (+ (* -1/5 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))) (+ (* 1/25 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 6))) (* 1/5 (/ (* t (PI)) (sqrt 1/2))))) (+ (* -1/5 (/ (- (* -1/5 (/ (* t (PI)) (sqrt 1/2))) (* -1/25 (/ (* t (PI)) (sqrt 1/2)))) (pow v 4))) (* -1/25 (/ (* t (PI)) (* (pow v 2) (sqrt 1/2)))))) |
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -4/625 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 t (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/5 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -4/25 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 4/125 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (* (PI) (- 1 (pow v 2)))) (* (sqrt 1/2) (+ 1 (* -5 (pow v 2))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) (sqrt.f64 #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow v 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(+ 1 (* -1 (pow v 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(+ 1 (* -1 (pow v 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* -1 (pow v 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* -1 (pow v 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(pow v 2) |
(*.f64 v v) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(* -4 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -4 binary64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) |
(*.f64 (*.f64 v v) (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64)))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) |
(*.f64 (*.f64 v v) (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64)))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
(/ (* (sqrt 1/2) (+ 1 (* -5 (pow v 2)))) (* t (PI))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 t (PI.f64))) |
Compiled 55 189 to 5 488 computations (90.1% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 083 | 5 | 2 088 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 2 088 | 14 | 2 102 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.4% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | 98.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| ✓ | 98.7% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
| 98.0% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) | |
| ✓ | 98.2% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.1% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) | |
| ✓ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| ✓ | 98.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
| ✓ | 98.6% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | 98.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| 98.0% | (*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) | |
| 97.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) | |
| 98.1% | (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) | |
| 98.1% | (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
Compiled 715 to 283 computations (60.4% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
5 calls:
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 9.0ms | (*.f64 (PI.f64) t) |
| 9.0ms | v |
| 8.0ms | t |
| 7.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | v |
| 99.6% | 1 | t |
| 99.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.6% | 1 | (*.f64 v v) |
| 99.6% | 1 | (*.f64 (PI.f64) t) |
Compiled 46 to 30 computations (34.8% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))))))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
4 calls:
| 9.0ms | (*.f64 (PI.f64) t) |
| 9.0ms | t |
| 7.0ms | v |
| 6.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | v |
| 99.6% | 1 | t |
| 99.6% | 1 | (*.f64 v v) |
| 99.6% | 1 | (*.f64 (PI.f64) t) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (+.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
4 calls:
| 8.0ms | t |
| 8.0ms | (*.f64 (PI.f64) t) |
| 7.0ms | v |
| 6.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | v |
| 98.9% | 1 | t |
| 98.9% | 1 | (*.f64 v v) |
| 98.9% | 1 | (*.f64 (PI.f64) t) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
3 calls:
| 6.0ms | t |
| 3.0ms | v |
| 3.0ms | (*.f64 (PI.f64) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | v |
| 98.7% | 1 | t |
| 98.7% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
3 calls:
| 2.0ms | t |
| 2.0ms | v |
| 2.0ms | (*.f64 (PI.f64) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | t |
| 98.6% | 1 | (*.f64 (PI.f64) t) |
| 98.6% | 1 | v |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
3 calls:
| 3.0ms | v |
| 2.0ms | (*.f64 (PI.f64) t) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | t |
| 98.5% | 1 | (*.f64 (PI.f64) t) |
| 98.5% | 1 | v |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| Outputs |
|---|
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
3 calls:
| 2.0ms | (*.f64 (PI.f64) t) |
| 2.0ms | t |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | v |
| 98.2% | 1 | t |
| 98.2% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| Outputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
3 calls:
| 3.0ms | t |
| 1.0ms | (*.f64 (PI.f64) t) |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | v |
| 98.1% | 1 | t |
| 98.1% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 96 |
| 1 | 74 | 96 |
| 2 | 90 | 96 |
| 3 | 98 | 96 |
| 4 | 102 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| 23 096× | accelerator-lowering-fma.f32 |
| 23 096× | accelerator-lowering-fma.f64 |
| 14 922× | accelerator-lowering-fma.f32 |
| 14 922× | accelerator-lowering-fma.f64 |
| 6 648× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2099 |
| 1 | 570 | 1999 |
| 2 | 2396 | 1884 |
| 0 | 8003 | 1800 |
| 0 | 28 | 123 |
| 1 | 166 | 120 |
| 2 | 1251 | 120 |
| 0 | 8777 | 114 |
| 0 | 38 | 255 |
| 1 | 229 | 255 |
| 2 | 1937 | 254 |
| 0 | 8502 | 235 |
| 0 | 394 | 7937 |
| 1 | 1211 | 7078 |
| 2 | 4820 | 6833 |
| 0 | 8256 | 6537 |
| 0 | 19 | 71 |
| 1 | 115 | 71 |
| 2 | 910 | 65 |
| 0 | 8745 | 60 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 226 to 151 computations (33.2% saved)
(negabs t)
(abs v)
Compiled 704 to 428 computations (39.2% saved)
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