
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 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 31 to 20 computations (35.5% saved)
ival-mult: 38.0ms (72% of total)ival-sub: 7.0ms (13.3% of total)ival-sqrt: 4.0ms (7.6% of total)ival-pi: 2.0ms (3.8% of total)ival-div: 2.0ms (3.8% of total)const: 1.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)| 1.3s | 8256× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
ival-mult: 475.0ms (54% of total)ival-sub: 169.0ms (19.2% of total)ival-sqrt: 98.0ms (11.1% of total)ival-div: 67.0ms (7.6% of total)ival-pi: 48.0ms (5.5% of total)const: 21.0ms (2.4% of total)backward-pass: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 5020× | *-lowering-*.f32 |
| 5020× | *-lowering-*.f64 |
| 2636× | /-lowering-/.f32 |
| 2636× | /-lowering-/.f64 |
| 1982× | times-frac |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 152 |
| 1 | 187 | 150 |
| 2 | 644 | 132 |
| 3 | 4547 | 126 |
| 0 | 19 | 25 |
| 1 | 58 | 25 |
| 2 | 191 | 22 |
| 3 | 947 | 21 |
| 4 | 4970 | 20 |
| 0 | 8329 | 20 |
| 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 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v 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)))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1)) |
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1)) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fnmadd v v 1)) |
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fnmadd v v 1)) |
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) |
(/ (/ (/ (/ (fnmsub (square v) -5 1) t) (PI)) (sqrt (fma (square v) -6 2))) (fmsub v v 1)) |
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t)))) |
(/ (/ (fma (square t) -5 1) (* (* v (PI)) (sqrt (fma (square t) -6 2)))) (fnmadd t t 1)) |
(abs v)
(negabs t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 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 | - | (*.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 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) t) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | 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 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 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 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 127.0ms | 512× | 0 | valid |
Compiled 282 to 59 computations (79.1% saved)
ival-mult: 23.0ms (55.1% of total)ival-sub: 8.0ms (19.2% of total)ival-sqrt: 4.0ms (9.6% of total)ival-div: 3.0ms (7.2% of total)ival-pi: 2.0ms (4.8% of total)const: 1.0ms (2.4% of total)backward-pass: 0.0ms (0% of total)Compiled 28 to 19 computations (32.1% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
Compiled 28 to 19 computations (32.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v #s(literal -5 binary64)) |
| ✓ | 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 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| 2860× | *-lowering-*.f32 |
| 2860× | *-lowering-*.f64 |
| 2224× | fma-define |
| 1922× | +-lowering-+.f64 |
| 1922× | +-lowering-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 97 |
| 1 | 47 | 95 |
| 2 | 120 | 90 |
| 3 | 343 | 90 |
| 4 | 1039 | 88 |
| 5 | 1940 | 88 |
| 6 | 4607 | 88 |
| 0 | 8132 | 88 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(* (PI) t) |
(PI) |
t |
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
6 |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ 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) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
6 |
#s(literal 6 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 (*.f64 v v) #s(literal 6 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 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 59.0ms | 256× | 0 | valid |
Compiled 114 to 20 computations (82.5% saved)
ival-mult: 12.0ms (54.1% of total)ival-sub: 3.0ms (13.5% of total)ival-sqrt: 3.0ms (13.5% of total)ival-div: 2.0ms (9% of total)ival-pi: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% of total)const: 1.0ms (4.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (* v -5)> |
#<alt (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))> |
#<alt (* (PI) t)> |
#<alt (* (* v v) 6)> |
| Outputs |
|---|
#<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> |
#<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 (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2)))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))> |
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))> |
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 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 (* 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))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
| 2.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
| 2.0ms | v | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
| 2.0ms | v | @ | inf | (+ 1 (* v (* v -5))) |
| 1.0ms | v | @ | inf | (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
| 1× | batch-egg-rewrite |
| 6000× | *-lowering-*.f32 |
| 6000× | *-lowering-*.f64 |
| 2966× | /-lowering-/.f32 |
| 2966× | /-lowering-/.f64 |
| 1332× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 59 |
| 1 | 112 | 57 |
| 2 | 842 | 55 |
| 0 | 8440 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* v (* v -5))) (* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(* v -5) |
(* (* (PI) t) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v)))) |
(* (PI) t) |
(* (* v v) 6) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.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 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.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) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (+.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) (-.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 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(/.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 (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.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 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.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)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) t)) (-.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) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) 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 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) 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 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) t)) |
(*.f64 t (PI.f64)) |
(*.f64 (*.f64 (PI.f64) t) #s(literal 1 binary64)) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) t)) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) t))) |
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.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 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.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 #s(literal 1 binary64) t) (PI.f64)) |
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.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))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (*.f64 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 v (*.f64 v #s(literal 6 binary64)))) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v (*.f64 v #s(literal 6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 v #s(literal 6 binary64)) v) |
| 1× | egg-herbie |
| 4342× | *-lowering-*.f32 |
| 4342× | *-lowering-*.f64 |
| 2452× | +-lowering-+.f64 |
| 2452× | +-lowering-+.f32 |
| 1838× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2136 |
| 1 | 767 | 1801 |
| 2 | 3506 | 1765 |
| 0 | 8101 | 1765 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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 |
(+ 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)) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 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)) |
(* 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)) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 #s(literal 27/16 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)))))))))))) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -27/4 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 135/32 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)))))))) (+.f64 (/.f64 #s(literal 27/16 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 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) v))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (- 2 (* 6 (pow v 2))))) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(+.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64)))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 t (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) #s(literal -1 binary64))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(*.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (*.f64 t (PI.f64)) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 t (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 t (+.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* 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)) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
Compiled 20147 to 1467 computations (92.7% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 529 | 8 | 537 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 530 | 8 | 538 |
| 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 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) | |
| ▶ | 99.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
| 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) | |
| ▶ | 99.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| ▶ | 99.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ▶ | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
| 98.3% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 97.8% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
Compiled 388 to 270 computations (30.4% 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 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | 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 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (*.f64 v #s(literal -5 binary64)) |
| ✓ | 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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 t (PI.f64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 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 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| 2844× | *-lowering-*.f32 |
| 2844× | *-lowering-*.f64 |
| 1706× | unsub-neg |
| 1602× | fnmadd-define |
| 1564× | --lowering--.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 412 |
| 1 | 86 | 382 |
| 2 | 205 | 382 |
| 3 | 553 | 373 |
| 4 | 1749 | 373 |
| 5 | 3262 | 373 |
| 6 | 6347 | 373 |
| 0 | 8203 | 373 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(* (- 1 (* v v)) t) |
(- 1 (* v v)) |
t |
(/ (sqrt 1/2) (* t (PI))) |
(sqrt 1/2) |
1/2 |
(* t (PI)) |
t |
(PI) |
(/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))) |
(* (- 1 (* v v)) t) |
(- 1 (* v v)) |
(* v v) |
t |
(* (PI) (sqrt (+ 2 (* (* v v) -6)))) |
(PI) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
-6 |
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t)) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(- 1 (* v v)) |
(* (PI) t) |
(PI) |
t |
(/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))) |
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) |
(PI) |
(* t (sqrt (+ 2 (* (* v v) -6)))) |
t |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(/ 1 (- 1 (* v v))) |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/ (+ 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) |
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
-6 |
#s(literal -6 binary64) |
(* (- 1 (* v v)) t) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
t |
(/ (sqrt 1/2) (* t (PI))) |
(/.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) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
t |
(PI) |
(PI.f64) |
(/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) 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) |
(* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(* (- 1 (* v v)) t) |
(*.f64 (-.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) |
t |
(* (PI) (sqrt (+ 2 (* (* v v) -6)))) |
(*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(PI) |
(PI.f64) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
-6 |
#s(literal -6 binary64) |
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(+ 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) |
(* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
-6 |
#s(literal -6 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) 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 (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) |
(PI) |
(PI.f64) |
(* t (sqrt (+ 2 (* (* v v) -6)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) |
t |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
-6 |
#s(literal -6 binary64) |
(/ 1 (- 1 (* v v))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
| ✓ | accuracy | 99.4% | (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
| ✓ | accuracy | 98.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 t (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| 247.0ms | 256× | 0 | valid |
Compiled 478 to 36 computations (92.5% saved)
ival-div: 23.0ms (43.5% of total)ival-mult: 19.0ms (36% of total)ival-sqrt: 4.0ms (7.6% of total)ival-add: 3.0ms (5.7% of total)ival-pi: 1.0ms (1.9% of total)ival-sub: 1.0ms (1.9% of total)const: 1.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) 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)> |
#<alt (* t (PI))> |
#<alt (PI)> |
#<alt (/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))))> |
#<alt (* v -5)> |
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t))> |
#<alt (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v))))> |
#<alt (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))> |
#<alt (/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))))> |
#<alt (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))> |
#<alt (* (* v v) -6)> |
#<alt (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))> |
#<alt (* (PI) t)> |
#<alt (* t (sqrt (+ 2 (* (* v v) -6))))> |
#<alt (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))> |
| Outputs |
|---|
#<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 (* -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 (* 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 (/ (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))))> |
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#<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 (* 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 (* (* 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 (* -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 (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))> |
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))> |
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 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 (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt 2))> |
#<alt (+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))> |
#<alt (* t (* v (sqrt -6)))> |
#<alt (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* t (* v (sqrt -6))))> |
#<alt (* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))> |
#<alt (* t (* v (* (PI) (sqrt -6))))> |
#<alt (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))> |
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | v | @ | inf | (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))) |
| 3.0ms | t | @ | inf | (/ (sqrt 1/2) (* t (PI))) |
| 2.0ms | t | @ | inf | (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)) |
| 1.0ms | t | @ | 0 | (/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))) |
| 1.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) |
| 1× | batch-egg-rewrite |
| 3738× | *-lowering-*.f32 |
| 3738× | *-lowering-*.f64 |
| 3456× | /-lowering-/.f32 |
| 3456× | /-lowering-/.f64 |
| 1132× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 219 |
| 1 | 208 | 200 |
| 2 | 1647 | 200 |
| 0 | 8337 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (sqrt 1/2) (* t (PI))) |
(sqrt 1/2) |
(* t (PI)) |
(PI) |
(/ (+ 1 (* v (* v -5))) (* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6)))))) |
(* v -5) |
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) (* (PI) t)) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v v)))) |
(/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v)))) |
(/ (+ 1 (* v (* v -5))) (/ (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) (/ 1 (- 1 (* v v))))) |
(* (sqrt (+ 2 (* (* v v) -6))) (* (- 1 (* v v)) t)) |
(* (* v v) -6) |
(* (* (- 1 (* v v)) t) (* (PI) (sqrt (+ 2 (* (* v v) -6))))) |
(* (PI) t) |
(* t (sqrt (+ 2 (* (* v v) -6)))) |
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (+.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)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (/.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (*.f64 t (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) |
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(*.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 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.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 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t)) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))) |
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t)) |
(*.f64 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) t) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(*.f64 (*.f64 (PI.f64) t) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) t))) (PI.f64)) |
| 1× | egg-herbie |
| 5506× | *-lowering-*.f32 |
| 5506× | *-lowering-*.f64 |
| 2958× | +-lowering-+.f64 |
| 2958× | +-lowering-+.f32 |
| 2220× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 8516 |
| 1 | 1538 | 7055 |
| 2 | 6945 | 7004 |
| 0 | 8607 | 7004 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)) |
(* -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))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (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)))))) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(* -5 v) |
(/ (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)))) |
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(+ (* (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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(* -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)) |
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(* (/ (+ 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)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2)))))) |
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(+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (+ (* -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))))) (* 3 (/ 1 (sqrt 1/2))))))) (* 3 (/ 1 (sqrt 1/2))))))))) |
(* 5 (/ (sqrt -1/6) v)) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (* 5 (sqrt -1/6))) (/ 5/36 (* (pow v 2) (sqrt -1/6)))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (* 5 (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (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)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (+ (* 4 (/ (sqrt -1/6) (pow v 6))) (* 5 (sqrt -1/6)))))))) (+ (/ 1/9 (* (pow v 6) (sqrt -1/6))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6))))))) v) |
(* -5 (/ (sqrt -1/6) v)) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (* 5 (sqrt -1/6))) (/ 5/36 (* (pow v 2) (sqrt -1/6)))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (* 5 (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (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)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (+ (* 4 (/ (sqrt -1/6) (pow v 6))) (* 5 (sqrt -1/6)))))))) (+ (/ 1/9 (* (pow v 6) (sqrt -1/6))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6))))))) v)) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (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) |
(/ (- (+ (* -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)))))) |
(* 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)))))))))) |
(* (* 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))))) |
(* -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)) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 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 (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt 2)) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(* t (* v (* (PI) (sqrt -6)))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 27/16 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal -3 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -27/4 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal -3 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal -3 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 t (PI.f64)) 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)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 (PI.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 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))))) (+.f64 (/.f64 (/.f64 #s(literal 5/36 binary64) (*.f64 t (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.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 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (pow.f64 v #s(literal 4 binary64))))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))) (-.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 1/9 binary64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 5/36 binary64) (*.f64 t (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64)))))))))) v) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (*.f64 (*.f64 t (PI.f64)) 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)) #s(literal 4 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))) (neg.f64 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 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (*.f64 t (pow.f64 v #s(literal 4 binary64)))))))) (+.f64 (/.f64 (/.f64 #s(literal 5/36 binary64) (*.f64 t (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.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))))))) (neg.f64 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)) |
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(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+.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 t (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 t #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 t (*.f64 v v))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))))) |
(* t (* v (sqrt -6))) |
(*.f64 t (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(*.f64 v (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(*.f64 v (+.f64 (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(*.f64 v (+.f64 (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))) v) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(*.f64 v (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(*.f64 (+.f64 (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 v)) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (+.f64 (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (pow.f64 v #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (neg.f64 v)) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))))) |
(* t (* v (* (PI) (sqrt -6)))) |
(*.f64 t (*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(*.f64 v (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 t (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 v)) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (/.f64 t (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (neg.f64 v)) |
Compiled 70705 to 3182 computations (95.5% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2192 | 15 | 2207 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2197 | 18 | 2215 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) | |
| 99.3% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) | |
| ▶ | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | 99.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| 98.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) | |
| 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) | |
| ▶ | 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) | |
| ▶ | 98.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| 98.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) | |
| 97.8% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) | |
| ✓ | 97.8% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| 97.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| ▶ | 97.8% | (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
| ▶ | 98.3% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| 97.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) | |
| 97.8% | (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) | |
| 97.9% | (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) |
Compiled 548 to 424 computations (22.6% 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 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) t) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
| ✓ | 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)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 3416× | *-lowering-*.f32 |
| 3416× | *-lowering-*.f64 |
| 1766× | neg-lowering-neg.f64 |
| 1766× | neg-lowering-neg.f32 |
| 1530× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 248 |
| 1 | 89 | 235 |
| 2 | 205 | 234 |
| 3 | 631 | 233 |
| 4 | 1894 | 230 |
| 5 | 4144 | 230 |
| 0 | 8095 | 230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v))) |
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) |
(PI) |
(* t (sqrt (+ 2 (* (* v v) -6)))) |
t |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(- 1 (* v v)) |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
1/2 |
t |
(PI) |
(/ 1 (/ t (/ (sqrt 1/2) (PI)))) |
1 |
(/ t (/ (sqrt 1/2) (PI))) |
t |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
1/2 |
(PI) |
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2))) |
-1 |
(* (- 0 (* (PI) t)) (pow 1/2 -1/2)) |
(- 0 (* (PI) t)) |
0 |
(* (PI) t) |
(PI) |
t |
(pow 1/2 -1/2) |
1/2 |
-1/2 |
(/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))) |
(* t (* (PI) (sqrt 2))) |
t |
(* (PI) (sqrt 2)) |
(PI) |
(sqrt 2) |
2 |
(/ 1 (- 1 (* v v))) |
(- 1 (* v v)) |
(* v v) |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.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 (sqrt (+ 2 (* (* v v) -6))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) |
(PI) |
(PI.f64) |
(* t (sqrt (+ 2 (* (* v v) -6)))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
t |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
-6 |
#s(literal -6 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/ (/ (sqrt 1/2) t) (PI)) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 (/ t (/ (sqrt 1/2) (PI)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
1 |
#s(literal 1 binary64) |
(/ t (/ (sqrt 1/2) (PI))) |
(/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
t |
(/ (sqrt 1/2) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
-1 |
#s(literal -1 binary64) |
(* (- 0 (* (PI) t)) (pow 1/2 -1/2)) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
(- 0 (* (PI) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) |
0 |
#s(literal 0 binary64) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(pow 1/2 -1/2) |
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(+ 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) |
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.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) (sqrt.f64 #s(literal 2 binary64))) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 1 (- 1 (* v v))) |
(/.f64 #s(literal 1 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
| ✓ | accuracy | 98.4% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.4% | (/.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 | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
| ✓ | accuracy | 99.4% | (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
| 213.0ms | 256× | 0 | valid |
Compiled 281 to 41 computations (85.4% saved)
ival-sub: 33.0ms (39.8% of total)ival-div: 18.0ms (21.7% of total)ival-mult: 17.0ms (20.5% of total)ival-sqrt: 6.0ms (7.2% of total)ival-pow: 4.0ms (4.8% of total)ival-add: 3.0ms (3.6% of total)ival-pi: 1.0ms (1.2% of total)const: 1.0ms (1.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v)))> |
#<alt (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))))> |
#<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 (/ t (/ (sqrt 1/2) (PI))))> |
#<alt (/ t (/ (sqrt 1/2) (PI)))> |
#<alt (/ (sqrt 1/2) (PI))> |
#<alt (/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2)))> |
#<alt (* (- 0 (* (PI) t)) (pow 1/2 -1/2))> |
#<alt (- 0 (* (PI) t))> |
#<alt (* (PI) t)> |
#<alt (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))> |
#<alt (/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))))> |
#<alt (* t (sqrt (+ 2 (* (* v v) -6))))> |
#<alt (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))> |
#<alt (* (* v v) -6)> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (/ 1 (- 1 (* v v)))> |
| Outputs |
|---|
#<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 (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 15/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (+ (* -5/2 (/ (- 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)))))))) (* 15/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* -5 (/ (* v (sqrt -1/6)) (* t (PI))))> |
#<alt (* v (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI)))))))> |
#<alt (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))> |
#<alt (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))> |
#<alt (* 5 (/ (* v (sqrt -1/6)) (* t (PI))))> |
#<alt (* -1 (* v (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))> |
#<alt (* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))> |
#<alt (* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (* t (PI)))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 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)))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))))))) (* 1/36 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (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 (/ (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 (/ (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)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<alt (/ (* t (PI)) (sqrt 1/2))> |
#<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) (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 (* 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) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))> |
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))> |
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))> |
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))> |
#<alt (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))> |
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2))))> |
#<alt (* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 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 (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (sqrt 2))> |
#<alt (+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2)))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2))))))> |
#<alt (+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3))))))))> |
#<alt (* t (* v (sqrt -6)))> |
#<alt (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* t (* v (sqrt -6))))> |
#<alt (* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))> |
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))> |
#<alt (* t (* v (* (PI) (sqrt -6))))> |
#<alt (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))> |
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))> |
#<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 (* 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 1> |
#<alt (+ 1 (pow v 2))> |
#<alt (+ 1 (* (pow v 2) (+ 1 (pow v 2))))> |
#<alt (+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2))))))> |
#<alt (/ -1 (pow v 2))> |
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))> |
#<alt (/ -1 (pow v 2))> |
#<alt (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2)))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | v | @ | inf | (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))) |
| 2.0ms | t | @ | 0 | (/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2))) |
| 1.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) |
| 1.0ms | t | @ | 0 | (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))) |
| 1.0ms | v | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) |
| 1× | batch-egg-rewrite |
| 3506× | /-lowering-/.f32 |
| 3506× | /-lowering-/.f64 |
| 3046× | *-lowering-*.f32 |
| 3046× | *-lowering-*.f64 |
| 1206× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 167 |
| 1 | 233 | 157 |
| 2 | 1823 | 156 |
| 0 | 8472 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) (- 1 (* v v))) |
(/ (+ 1 (* v (* v -5))) (* (PI) (* t (sqrt (+ 2 (* (* v v) -6)))))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
(PI) |
(/ 1 (/ t (/ (sqrt 1/2) (PI)))) |
(/ t (/ (sqrt 1/2) (PI))) |
(/ (sqrt 1/2) (PI)) |
(/ -1 (* (- 0 (* (PI) t)) (pow 1/2 -1/2))) |
(* (- 0 (* (PI) t)) (pow 1/2 -1/2)) |
(- 0 (* (PI) t)) |
(* (PI) t) |
(/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v)))) |
(/ (+ 1 (* v (* v -5))) (/ (* t (* (PI) (sqrt 2))) (/ 1 (- 1 (* v v))))) |
(* t (sqrt (+ 2 (* (* v v) -6)))) |
(* (PI) (* t (sqrt (+ 2 (* (* v v) -6))))) |
(* (* v v) -6) |
(* t (* (PI) (sqrt 2))) |
(/ 1 (- 1 (* v v))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.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 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.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 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
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(*.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (-.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 #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 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (*.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 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(*.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 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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 (/.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 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 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 (*.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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 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 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1/2 binary64))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) t) |
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) t) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (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 (*.f64 v v) #s(literal -6 binary64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(*.f64 #s(literal -6 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal -6 binary64)) v) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 5242× | *-lowering-*.f32 |
| 5242× | *-lowering-*.f64 |
| 2516× | /-lowering-/.f32 |
| 2516× | /-lowering-/.f64 |
| 2040× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 4698 |
| 1 | 1221 | 4016 |
| 2 | 5247 | 4000 |
| 0 | 8156 | 4000 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)) |
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1 |
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(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
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(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
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(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
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1 |
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(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2)) |
(/ -1 (pow v 2)) |
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2)) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 135/32 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))))) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (*.f64 (PI.f64) 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 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.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 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (*.f64 v v))))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 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 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))) 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 #s(literal -25/2592 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (-.f64 (-.f64 (/.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 1/9 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))) (/.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 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (*.f64 t (*.f64 (PI.f64) 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 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (*.f64 v v))) (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.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 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (*.f64 v v))))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 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 #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))) (-.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 #s(literal -25/2592 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (*.f64 (PI.f64) (*.f64 v v))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (PI.f64))) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (PI.f64))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (-.f64 (-.f64 (/.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 1/9 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))) (/.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 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (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))))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (PI.f64))))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 15/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (/.f64 (*.f64 #s(literal -5 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -15/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))))))))) |
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(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64)))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v (*.f64 v (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (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 #s(literal -3 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (*.f64 v v)) #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))))))) |
(* t (* v (sqrt -6))) |
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (*.f64 t v)) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(*.f64 v (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(*.f64 v (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(*.f64 v (+.f64 (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) |
(* -1 (* t (* v (sqrt -6)))) |
(*.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(*.f64 (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 t (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (*.f64 t (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) v)) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 t (*.f64 v v))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/4 binary64)) (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(+.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 (PI.f64) (*.f64 v v))) t) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))))))) |
(* t (* v (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 t (PI.f64)) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(*.f64 v (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(*.f64 v (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(*.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (+.f64 (*.f64 t (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) (+.f64 (*.f64 (*.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (/.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) 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)) |
(* 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)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow v 2)) |
(+.f64 (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* (pow v 2) (+ 1 (pow v 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))) |
(+ 1 (* (pow v 2) (+ 1 (* (pow v 2) (+ 1 (pow v 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64)))))))) |
(/ -1 (pow v 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 v v)) |
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v)) |
(/ -1 (pow v 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 v v)) |
(* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))) 1) (pow v 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow v 2))) (pow v 4))) (+ 1 (/ 1 (pow v 2)))) (pow v 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) (*.f64 v v)) #s(literal -1 binary64)) (*.f64 v v)) |
Compiled 34456 to 3484 computations (89.9% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1526 | 16 | 1542 |
| Fresh | 7 | 4 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1536 | 24 | 1560 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
| ▶ | 98.3% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
| 98.2% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) | |
| ✓ | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | 99.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| ▶ | 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 97.9% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) | |
| 98.5% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) | |
| ▶ | 98.4% | (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
| 98.4% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) | |
| 98.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 98.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| 98.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) | |
| ✓ | 97.8% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) | |
| 98.4% | (/.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) | |
| 98.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) | |
| ▶ | 98.0% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| 97.9% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) | |
| 98.5% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) | |
| 97.9% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| 97.7% | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
Compiled 712 to 558 computations (21.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 256 | (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t) |
| ✓ | cost-diff | 0 | (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) t) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 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)) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | cost-diff | 0 | (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
| 2952× | *-lowering-*.f32 |
| 2952× | *-lowering-*.f64 |
| 1614× | fma-lowering-fma.f32 |
| 1614× | fma-lowering-fma.f64 |
| 1588× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 223 |
| 1 | 85 | 208 |
| 2 | 194 | 206 |
| 3 | 502 | 202 |
| 4 | 1884 | 196 |
| 5 | 7051 | 196 |
| 0 | 8575 | 196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5))))) |
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) |
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) |
(pow (+ 2 (* (* v v) -6)) -1/2) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
v |
-6 |
-1/2 |
(- 1 (* v v)) |
1 |
t |
(/ (PI) (+ 1 (* v (* v -5)))) |
(PI) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(* v -5) |
-5 |
(/ (/ (sqrt 1/2) (PI)) t) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
1/2 |
(PI) |
t |
(/ (/ 1 t) (/ (PI) (sqrt 1/2))) |
(/ 1 t) |
1 |
t |
(/ (PI) (sqrt 1/2)) |
(PI) |
(sqrt 1/2) |
1/2 |
(/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI)) |
(/ (/ 1 (pow 1/2 -1/2)) t) |
(/ 1 (pow 1/2 -1/2)) |
1 |
(pow 1/2 -1/2) |
1/2 |
-1/2 |
t |
(PI) |
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))) |
-1 |
(* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)) |
(- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) |
0 |
(- (/ (+ 1 (PI)) (/ 1 t)) t) |
(/ (+ 1 (PI)) (/ 1 t)) |
(+ 1 (PI)) |
1 |
(PI) |
(/ 1 t) |
t |
(pow 1/2 -1/2) |
1/2 |
-1/2 |
| Outputs |
|---|
(/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5))))) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) |
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(pow (+ 2 (* (* v v) -6)) -1/2) |
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-6 |
#s(literal -6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
1 |
#s(literal 1 binary64) |
t |
(/ (PI) (+ 1 (* v (* v -5)))) |
(/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) |
(PI) |
(PI.f64) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(* v (* v -5)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(/ (/ (sqrt 1/2) (PI)) t) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/ (sqrt 1/2) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
t |
(/ (/ 1 t) (/ (PI) (sqrt 1/2))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
1 |
#s(literal 1 binary64) |
t |
(/ (PI) (sqrt 1/2)) |
(/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) |
(PI) |
(PI.f64) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI)) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
(/ (/ 1 (pow 1/2 -1/2)) t) |
(/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/ 1 (pow 1/2 -1/2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(pow 1/2 -1/2) |
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
t |
(PI) |
(PI.f64) |
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
-1 |
#s(literal -1 binary64) |
(* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)) |
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (PI.f64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
(- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) |
(*.f64 t (-.f64 #s(literal 0 binary64) (PI.f64))) |
0 |
#s(literal 0 binary64) |
(- (/ (+ 1 (PI)) (/ 1 t)) t) |
(*.f64 t (PI.f64)) |
(/ (+ 1 (PI)) (/ 1 t)) |
(*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64))) |
(+ 1 (PI)) |
(+.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
t |
(pow 1/2 -1/2) |
(pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
| ✓ | accuracy | 99.4% | (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t) |
| ✓ | accuracy | 99.3% | (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) t) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | accuracy | 98.4% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
| ✓ | accuracy | 99.4% | (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) |
| 195.0ms | 256× | 0 | valid |
Compiled 263 to 40 computations (84.8% saved)
ival-mult: 42.0ms (47.9% of total)ival-div: 23.0ms (26.2% of total)ival-pow: 11.0ms (12.6% of total)ival-add: 4.0ms (4.6% of total)ival-sub: 4.0ms (4.6% of total)ival-sqrt: 2.0ms (2.3% of total)ival-pi: 1.0ms (1.1% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5)))))> |
#<alt (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t)> |
#<alt (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v)))> |
#<alt (pow (+ 2 (* (* v v) -6)) -1/2)> |
#<alt (/ (/ (sqrt 1/2) (PI)) t)> |
#<alt (/ (sqrt 1/2) (PI))> |
#<alt (sqrt 1/2)> |
#<alt (PI)> |
#<alt (/ (/ 1 t) (/ (PI) (sqrt 1/2)))> |
#<alt (/ 1 t)> |
#<alt (/ (PI) (sqrt 1/2))> |
#<alt (/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI))> |
#<alt (/ (/ 1 (pow 1/2 -1/2)) t)> |
#<alt (/ 1 (pow 1/2 -1/2))> |
#<alt (pow 1/2 -1/2)> |
#<alt (- (/ (+ 1 (PI)) (/ 1 t)) t)> |
#<alt (/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)))> |
#<alt (/ (+ 1 (PI)) (/ 1 t))> |
#<alt (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))> |
#<alt (* (* v v) -6)> |
#<alt (* v (* v -5))> |
| Outputs |
|---|
#<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 (/ (sqrt 1/2) t)> |
#<alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))) (/ (sqrt 1/2) t))> |
#<alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t))> |
#<alt (+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (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 (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t))> |
#<alt (* -1 (/ (sqrt -1/6) (* t (pow v 3))))> |
#<alt (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3))> |
#<alt (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3))> |
#<alt (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3))> |
#<alt (/ (sqrt -1/6) (* t (pow v 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3)))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (* 3/4 (/ 1 (sqrt 1/2))))))> |
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))))))> |
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 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))) (* 3/4 (/ 1 (sqrt 1/2)))))))))))))))> |
#<alt (* -1 (/ (sqrt -1/6) (pow v 3)))> |
#<alt (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3))> |
#<alt (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3))> |
#<alt (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 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)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3))> |
#<alt (/ (sqrt -1/6) (pow v 3))> |
#<alt (* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 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)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3)))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2))))> |
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2))))))> |
#<alt (+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2))))))> |
#<alt (/ (sqrt -1/6) v)> |
#<alt (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 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)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (* -1 (/ (sqrt -1/6) v))> |
#<alt (* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt (* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 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)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v))> |
#<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 (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 (/ 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 (/ 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 (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (sqrt 2)))> |
#<alt (/ 1 (* t (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 (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))> |
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))> |
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (PI))))))> |
#<alt (* -1 (* t (+ 1 (* -1 (+ 1 (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 (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))> |
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))> |
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))> |
#<alt (/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (PI)))> |
#<alt (* t (+ 1 (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 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))> |
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))> |
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))> |
#<alt (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))> |
#<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))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | -inf | (/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))) |
| 1.0ms | v | @ | inf | (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) |
| 1.0ms | v | @ | inf | (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) |
| 1.0ms | t | @ | 0 | (/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))) |
| 1.0ms | v | @ | 0 | (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) |
| 1× | batch-egg-rewrite |
| 3640× | /-lowering-/.f32 |
| 3640× | /-lowering-/.f64 |
| 3216× | *-lowering-*.f32 |
| 3216× | *-lowering-*.f64 |
| 1440× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 141 |
| 1 | 270 | 129 |
| 2 | 2363 | 124 |
| 0 | 8545 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) (/ (PI) (+ 1 (* v (* v -5))))) |
(/ (/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) t) |
(/ (pow (+ 2 (* (* v v) -6)) -1/2) (- 1 (* v v))) |
(pow (+ 2 (* (* v v) -6)) -1/2) |
(/ (/ (sqrt 1/2) (PI)) t) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
(PI) |
(/ (/ 1 t) (/ (PI) (sqrt 1/2))) |
(/ 1 t) |
(/ (PI) (sqrt 1/2)) |
(/ (/ (/ 1 (pow 1/2 -1/2)) t) (PI)) |
(/ (/ 1 (pow 1/2 -1/2)) t) |
(/ 1 (pow 1/2 -1/2)) |
(pow 1/2 -1/2) |
(- (/ (+ 1 (PI)) (/ 1 t)) t) |
(/ -1 (* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2))) |
(/ (+ 1 (PI)) (/ 1 t)) |
(* (- 0 (- (/ (+ 1 (PI)) (/ 1 t)) t)) (pow 1/2 -1/2)) |
(* (* v v) -6) |
(* v (* v -5)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) t))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(fma.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 (neg.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 t (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) (neg.f64 (*.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (neg.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (+.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)))) (PI.f64)) (/.f64 t (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (+.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 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 t (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) t) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (pow.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) t))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (PI.f64))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (PI.f64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) t) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) t) (-.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) t)) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) t)) (neg.f64 (-.f64 #s(literal 1 binary64) (PI.f64)))) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) |
(*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) t) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (PI.f64)))) |
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(+.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64))))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(neg.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64))) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(*.f64 #s(literal -6 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal -6 binary64)) v) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 #s(literal 1 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 #s(literal 1 binary64) v) (*.f64 v #s(literal -5 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5 binary64))) v) |
| 1× | egg-herbie |
| 4356× | *-lowering-*.f32 |
| 4356× | *-lowering-*.f64 |
| 3976× | +-lowering-+.f64 |
| 3976× | +-lowering-+.f32 |
| 2366× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 355 | 3610 |
| 1 | 1187 | 2833 |
| 2 | 5055 | 2771 |
| 0 | 8041 | 2771 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)))))) |
(/ (sqrt 1/2) t) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))) (/ (sqrt 1/2) t)) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t)) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (+ (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (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 (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* t (sqrt 1/2)))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t))))) (/ (sqrt 1/2) t)))) (/ (sqrt 1/2) t)) |
(* -1 (/ (sqrt -1/6) (* t (pow v 3)))) |
(/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3)) |
(/ (sqrt -1/6) (* t (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) t)) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 2)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 4)))) (+ (* -1 (/ (sqrt -1/6) (* t (pow v 6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (sqrt -1/6))))) (+ (/ 1/36 (* t (* (pow v 2) (sqrt -1/6)))) (+ (/ 1/36 (* t (* (pow v 6) (sqrt -1/6)))) (* 1/36 (/ 1 (* t (* (pow v 4) (sqrt -1/6)))))))))))))) (pow v 3))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ 1 (* t (- 1 (pow v 2)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (* 3/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2)))))))))) |
(+ (sqrt 1/2) (* (pow v 2) (+ (sqrt 1/2) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (+ (sqrt 1/2) (+ (* 1/2 (/ (- 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))) (* 3/4 (/ 1 (sqrt 1/2))))))))))))))) |
(* -1 (/ (sqrt -1/6) (pow v 3))) |
(/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3)) |
(/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3)) |
(/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 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)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3)) |
(/ (sqrt -1/6) (pow v 3)) |
(* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (/ 1/36 (* (pow v 2) (sqrt -1/6))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (sqrt -1/6)) (+ (* -1 (/ (sqrt -1/6) (pow v 2))) (+ (* -1 (/ (sqrt -1/6) (pow v 4))) (+ (* -1 (/ (sqrt -1/6) (pow v 6))) (+ (* 1/2 (/ (+ 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)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 2) (sqrt -1/6))) (+ (/ 1/36 (* (pow v 6) (sqrt -1/6))) (* 1/36 (/ 1 (* (pow v 4) (sqrt -1/6))))))))))))) (pow v 3))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 3/4 (/ (pow v 2) (sqrt 1/2)))) |
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2)))))) |
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2)))))) |
(/ (sqrt -1/6) v) |
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v) |
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v) |
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 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)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v) |
(* -1 (/ (sqrt -1/6) v)) |
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)) |
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 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)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)) |
(/ (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 (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))) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 t) |
(/ 1 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)))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(/ 1 (* t (sqrt 2))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(* -1 (* t (+ 1 (* -1 (+ 1 (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 (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (PI))) |
(* t (+ 1 (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)))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(* -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)) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) |
(+ (* (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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (+.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (-.f64 (/.f64 (/.f64 #s(literal 27/16 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 3 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))) |
(+ (* (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)))) |
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(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (sqrt 1/2) (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3/4 (/ 1 (sqrt 1/2)))))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(+ (sqrt 1/2) (* (pow v 2) (+ (* (pow v 2) (+ (* 1/2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3/4 (/ 1 (sqrt 1/2)))))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 135/32 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(/ (sqrt -1/6) v) |
(/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) |
(/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v) |
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) v) |
(/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) v) |
(/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 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)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v) |
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (/.f64 #s(literal -5/2592 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))))) v) |
(* -1 (/ (sqrt -1/6) v)) |
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v)) |
(* -1 (/ (- (sqrt -1/6) (* 1/36 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)) |
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (sqrt -1/6) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (sqrt -1/6) (+ (* -1/2 (/ (+ 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)))) (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))))) (/ 1/36 (* (pow v 2) (sqrt -1/6)))) v)) |
(/.f64 (+.f64 (sqrt.f64 #s(literal -1/6 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/144 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (/.f64 #s(literal -5/2592 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))))) (-.f64 #s(literal 0 binary64) 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 (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))) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 t (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)) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64)))) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64)))) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64)))) |
(* -1 (* t (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (PI.f64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/ -1 (* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* t (+ 1 (PI))) |
(*.f64 t (+.f64 (PI.f64) #s(literal 1 binary64))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* t (* (sqrt 2) (+ 1 (* -1 (+ 1 (PI)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 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)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
Compiled 31185 to 3883 computations (87.5% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1630 | 5 | 1635 |
| Fresh | 7 | 8 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1640 | 19 | 1659 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.0% | (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
| 97.9% | (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) | |
| 98.2% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) | |
| ✓ | 99.4% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | 99.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
| ✓ | 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) | |
| ✓ | 97.8% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) | |
| 98.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) | |
| 98.4% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) | |
| 98.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 98.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) | |
| ✓ | 97.8% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| 98.1% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) | |
| 98.4% | (/.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) | |
| 98.5% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) | |
| 98.4% | (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t)) |
Compiled 1047 to 405 computations (61.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.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)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.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)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) 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) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 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 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(/.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 (*.f64 v v) #s(literal -6 binary64))))) (-.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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.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 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (/.f64 #s(literal 1 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 (*.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 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
5 calls:
| 14.0ms | t |
| 13.0ms | (/.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)))) |
| 13.0ms | (*.f64 (PI.f64) t) |
| 12.0ms | v |
| 10.0ms | (*.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 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.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)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.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)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
4 calls:
| 11.0ms | t |
| 11.0ms | (*.f64 (PI.f64) t) |
| 10.0ms | v |
| 8.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | v |
| 99.5% | 1 | t |
| 99.5% | 1 | (*.f64 v v) |
| 99.5% | 1 | (*.f64 (PI.f64) t) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.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)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.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)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
4 calls:
| 10.0ms | v |
| 10.0ms | t |
| 10.0ms | (*.f64 (PI.f64) t) |
| 9.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | v |
| 99.4% | 1 | t |
| 99.4% | 1 | (*.f64 v v) |
| 99.4% | 1 | (*.f64 (PI.f64) t) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) t) (PI.f64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 (PI.f64) (+.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)))) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) t)) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t) (/.f64 (PI.f64) (+.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)))) t) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.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 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
4 calls:
| 11.0ms | (*.f64 (PI.f64) t) |
| 10.0ms | t |
| 9.0ms | v |
| 8.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | v |
| 98.7% | 1 | t |
| 98.7% | 1 | (*.f64 v v) |
| 98.7% | 1 | (*.f64 (PI.f64) t) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (sqrt.f64 #s(literal 1/2 binary64)))) (PI.f64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
3 calls:
| 6.0ms | t |
| 4.0ms | (*.f64 (PI.f64) t) |
| 4.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | v |
| 98.4% | 1 | t |
| 98.4% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | v |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | v |
| 97.9% | 1 | t |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.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 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) t)) |
| Outputs |
|---|
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
2 calls:
| 2.0ms | v |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | v |
| 97.8% | 1 | t |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
2 calls:
| 1.0ms | t |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | v |
| 97.8% | 1 | t |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 34× | *-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 | 114 |
| 1 | 71 | 114 |
| 2 | 86 | 114 |
| 3 | 94 | 114 |
| 4 | 99 | 114 |
| 5 | 100 | 114 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (-.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 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64)))) t) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 (PI.f64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (PI.f64))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| 6000× | *-lowering-*.f32 |
| 6000× | *-lowering-*.f64 |
| 5020× | *-lowering-*.f32 |
| 5020× | *-lowering-*.f64 |
| 4342× | *-lowering-*.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 141 |
| 1 | 270 | 129 |
| 2 | 2363 | 124 |
| 0 | 8545 | 124 |
| 0 | 19 | 59 |
| 1 | 112 | 57 |
| 2 | 842 | 55 |
| 0 | 8440 | 55 |
| 0 | 232 | 2136 |
| 1 | 767 | 1801 |
| 2 | 3506 | 1765 |
| 0 | 8101 | 1765 |
| 0 | 35 | 219 |
| 1 | 208 | 200 |
| 2 | 1647 | 200 |
| 0 | 8337 | 200 |
| 0 | 40 | 167 |
| 1 | 233 | 157 |
| 2 | 1823 | 156 |
| 0 | 8472 | 156 |
| 0 | 19 | 25 |
| 1 | 58 | 25 |
| 2 | 191 | 22 |
| 3 | 947 | 21 |
| 4 | 4970 | 20 |
| 0 | 8329 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 258 to 165 computations (36% saved)
(negabs t)
(abs v)
Compiled 852 to 504 computations (40.8% saved)
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