
Time bar (total: 10.7s)
| 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: 55.0ms (46.1% of total)ival-div: 51.0ms (42.7% of total)ival-sub: 7.0ms (5.9% of total)ival-sqrt: 3.0ms (2.5% of total)ival-pi: 2.0ms (1.7% of total)const: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| 1.3s | 8256× | 0 | valid |
| 2.0ms | 21× | 0 | invalid |
ival-mult: 545.0ms (59.1% of total)ival-sub: 141.0ms (15.3% of total)ival-div: 81.0ms (8.8% of total)ival-sqrt: 71.0ms (7.7% of total)ival-pi: 59.0ms (6.4% of total)const: 23.0ms (2.5% 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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 170 |
| 1 | 184 | 168 |
| 2 | 641 | 146 |
| 3 | 4549 | 138 |
| 0 | 19 | 28 |
| 1 | 57 | 28 |
| 2 | 190 | 24 |
| 3 | 944 | 23 |
| 4 | 4965 | 23 |
| 0 | 8327 | 23 |
| 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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.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 v (* v -5) 1) (* (* (* (PI) t) (sqrt (fma (* v 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 v (* v -5) 1) (* (* (* (PI) t) (sqrt (fma (* v v) -6 2))) (fmsub v v 1))) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/ (fma v (* v -5) 1) (* (* (* (PI) t) (sqrt (fma (* v v) -6 2))) (fmsub 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)))))) |
(/ (fma v (* v -5) 1) (* (* (* (PI) t) (sqrt (fma (* v v) -6 2))) (fmsub v v 1))) |
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))) |
(/ (fnmsub v (* v -5) 1) (* (* (* (PI) t) (sqrt (fma (* v v) -6 2))) (fmsub v v 1))) |
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t)))) |
(/ (/ (/ (/ (fma (* t t) -5 1) (PI)) v) (sqrt (fma (* t 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 | 1 | (1.147416914963444e-162 2.8140358179644277e+57) | 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 | 1 | (1.147416914963444e-162 2.8140358179644277e+57) | 0 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 94.0ms | 512× | 0 | valid |
Compiled 282 to 59 computations (79.1% saved)
ival-mult: 28.0ms (59.3% of total)ival-sub: 8.0ms (16.9% of total)ival-sqrt: 4.0ms (8.5% of total)ival-div: 3.0ms (6.4% of total)ival-pi: 2.0ms (4.2% of total)const: 2.0ms (4.2% of total)backward-pass: 0.0ms (0% of total)Compiled 28 to 19 computations (32.1% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.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)))) |
| ▶ | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
Compiled 58 to 38 computations (34.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 128 | (*.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)))))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
| 5224× | *-lowering-*.f32 |
| 5224× | *-lowering-*.f64 |
| 2084× | /-lowering-/.f32 |
| 2084× | /-lowering-/.f64 |
| 1588× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 232 |
| 1 | 85 | 219 |
| 2 | 271 | 207 |
| 3 | 1258 | 207 |
| 4 | 5335 | 207 |
| 0 | 8207 | 207 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* v (* v -5))) (* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
t |
(* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(* (PI) (- 1 (* v v))) |
(PI) |
(- 1 (* v v)) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
(* (PI) t) |
(PI) |
t |
(sqrt (* 2 (- 1 (* 3 (* v v))))) |
(* 2 (- 1 (* 3 (* v v)))) |
2 |
(- 1 (* 3 (* v v))) |
(* 3 (* v v)) |
3 |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (+ 1 (* v (* v -5))) (* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v))))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v)))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
t |
(* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))) |
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v))))) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v)))) |
(+ 2 (* (* v v) -6)) |
(-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* v v) |
(*.f64 v v) |
-6 |
#s(literal -6 binary64) |
(* (PI) (- 1 (* v v))) |
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(PI) |
(PI.f64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v))))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(- 1 (* 5 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v)))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v))))) |
(* (PI) t) |
(*.f64 t (PI.f64)) |
(PI) |
(PI.f64) |
t |
(sqrt (* 2 (- 1 (* 3 (* v v))))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v)))) |
(* 2 (- 1 (* 3 (* v v)))) |
(-.f64 #s(literal 2 binary64) (*.f64 v (*.f64 #s(literal 6 binary64) v))) |
2 |
#s(literal 2 binary64) |
(- 1 (* 3 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -3 binary64)))) |
(* 3 (* v v)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
3 |
#s(literal 3 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.4% | (*.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)))))) |
| ✓ | 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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
| 74.0ms | 256× | 0 | valid |
Compiled 243 to 32 computations (86.8% saved)
ival-mult: 23.0ms (58.9% of total)ival-sub: 4.0ms (10.3% of total)ival-sqrt: 4.0ms (10.3% of total)ival-div: 3.0ms (7.7% of total)ival-add: 3.0ms (7.7% of total)ival-pi: 1.0ms (2.6% of total)const: 1.0ms (2.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ 1 (* v (* v -5))) (* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (* v (* v -5))> |
#<alt (* v -5)> |
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))> |
#<alt (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))> |
#<alt (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))> |
#<alt (sqrt (* 2 (- 1 (* 3 (* v v)))))> |
#<alt (* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))))> |
#<alt (* (* v v) -6)> |
#<alt (* (PI) t)> |
#<alt (* 5 (* 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)> |
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#<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))> |
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#<alt (* -5 v)> |
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#<alt (* -5 v)> |
#<alt (* -5 v)> |
#<alt (* -5 v)> |
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#<alt (* -5 v)> |
#<alt (* -5 v)> |
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#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
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#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
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#<alt (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)> |
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#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))> |
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#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2)))))))))))))> |
#<alt (* -1 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2))))))> |
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#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))> |
#<alt (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))))> |
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#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))> |
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#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))> |
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))> |
#<alt (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))> |
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#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2))))> |
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#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))> |
#<alt (* v (* (sqrt -3) (sqrt 2)))> |
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#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))> |
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))> |
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#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))> |
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))> |
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))> |
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#<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 (* -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))> |
#<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 (* 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 | |
|---|---|---|---|---|
| 5.0ms | t | @ | 0 | (/ (+ 1 (* v (* v -5))) (* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))))) |
| 4.0ms | t | @ | -inf | (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
| 3.0ms | t | @ | 0 | (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
| 3.0ms | t | @ | 0 | (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| 3.0ms | v | @ | inf | (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
| 1× | batch-egg-rewrite |
| 3756× | *-lowering-*.f32 |
| 3756× | *-lowering-*.f64 |
| 2924× | /-lowering-/.f32 |
| 2924× | /-lowering-/.f64 |
| 1516× | prod-diff |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 144 |
| 1 | 179 | 139 |
| 2 | 1501 | 131 |
| 0 | 8520 | 131 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* v (* v -5))) (* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(* v -5) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) |
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))) |
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) |
(sqrt (* 2 (- 1 (* 3 (* v v))))) |
(* t (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
(* (* v v) -6) |
(* (PI) t) |
(* 5 (* v v)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.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 #s(literal 1 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (*.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.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 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.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 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (+.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (/.f64 (+.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (*.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 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 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.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 0 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) |
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(fma.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (PI.f64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (PI.f64)) t (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 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 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v v))))))) |
(*.f64 t (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(*.f64 (PI.f64) (*.f64 t (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(*.f64 (PI.f64) (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) |
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) |
(*.f64 (*.f64 t (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (*.f64 t (PI.f64))) |
(*.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 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))))) |
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (PI.f64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 t (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) (PI.f64)) t) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 27 binary64))) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 9 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))) #s(literal 1/2 binary64))) |
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) t)) |
(*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.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)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) t) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.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))))) |
(*.f64 (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.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))) (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 1 binary64) (*.f64 t (PI.f64))) |
(*.f64 t (PI.f64)) |
(*.f64 (PI.f64) t) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 t #s(literal 1 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 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 v #s(literal 5 binary64)) v) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v #s(literal 5 binary64))) v) |
| 1× | egg-herbie |
| 5702× | *-lowering-*.f32 |
| 5702× | *-lowering-*.f64 |
| 2754× | +-lowering-+.f64 |
| 2754× | +-lowering-+.f32 |
| 2414× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 5022 |
| 1 | 1659 | 4671 |
| 2 | 7916 | 4671 |
| 0 | 8079 | 4671 |
| 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) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (* 3/2 (* t (* (PI) (sqrt 2)))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/8 (* t (* (PI) (sqrt 2)))) (+ (* 3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (PI) (sqrt 2)))) (* 9/8 (* t (* (PI) (sqrt 2))))))))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (* (sqrt -3) (sqrt 2))))) (+ (* -1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (sqrt -3)))) (/ (* t (* (PI) (* (sqrt -3) (sqrt 2)))) (pow v 2)))))))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(sqrt 2) |
(+ (sqrt 2) (* -3/2 (* (pow v 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2))))))) |
(* v (* (sqrt -3) (sqrt 2))) |
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))) |
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (* (sqrt -3) (sqrt 2)))) |
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))) |
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 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) (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)))))))))) |
(* -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)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
| 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) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64))))))))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+.f64 (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 binary64)) (*.f64 t (PI.f64))) (/.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 t (PI.f64))) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -27/4 binary64) t) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 t (PI.f64))) (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 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))))) (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 t (PI.f64))) (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))) |
(/ (- (+ (* 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 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))))) 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 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 t (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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 #s(literal 5/36 binary64) (*.f64 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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) (*.f64 t (pow.f64 v #s(literal 6 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 t (*.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 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) t) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 5/36 binary64) (*.f64 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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 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 (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 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))))) (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 (*.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 t (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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 #s(literal 5/36 binary64) (*.f64 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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)) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -25/2592 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 t (*.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 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) t) (*.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 t (pow.f64 v #s(literal 6 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 5/36 binary64) (*.f64 t (*.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) v) v))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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))))))))) (neg.f64 v)) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) t)) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
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(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
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(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
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(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 t v)) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
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(sqrt 2) |
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(* v (* (sqrt -3) (sqrt 2))) |
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(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))) |
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(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))) |
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(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))) |
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(* -1 (* v (* (sqrt -3) (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 v)) |
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))) |
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(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))) |
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(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 (*.f64 t (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))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
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(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
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(* (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 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v v))) (*.f64 (PI.f64) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (PI.f64) (*.f64 t (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 (*.f64 v (*.f64 v v)) (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -6 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 (PI.f64) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (PI.f64) (*.f64 t (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 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -6 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 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (*.f64 (PI.f64) (/.f64 t (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (*.f64 (PI.f64) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal -6 binary64)))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (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 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (-.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (*.f64 v v))) (*.f64 (PI.f64) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal -6 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 #s(literal 0 binary64) (*.f64 (*.f64 v (*.f64 v v)) (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -6 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 (PI.f64) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal -6 binary64))))))) |
(* -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 (*.f64 #s(literal 1/2 binary64) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -6 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 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 t (PI.f64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (*.f64 (PI.f64) (/.f64 t (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))) (*.f64 (PI.f64) (/.f64 t (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) v)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* 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)) |
(* 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 34014 to 2232 computations (93.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 751 | 8 | 759 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 753 | 8 | 761 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 99.4% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) 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))))) | |
| ▶ | 99.8% | (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
| 98.6% | (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 98.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 98.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ▶ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
Compiled 324 to 232 computations (28.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 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)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
| 5002× | *-lowering-*.f32 |
| 5002× | *-lowering-*.f64 |
| 2508× | /-lowering-/.f32 |
| 2508× | /-lowering-/.f64 |
| 1748× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 368 |
| 1 | 95 | 347 |
| 2 | 320 | 337 |
| 3 | 1430 | 337 |
| 4 | 5603 | 337 |
| 0 | 8441 | 337 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) t) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(* (PI) (- 1 (* v v))) |
(PI) |
(- 1 (* v v)) |
t |
(/ (sqrt 1/2) (* t (PI))) |
(sqrt 1/2) |
1/2 |
(* t (PI)) |
t |
(PI) |
(/ (- 1 (* 5 (* v v))) (* (PI) (* t (sqrt 2)))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (PI) (* t (sqrt 2))) |
(PI) |
(* t (sqrt 2)) |
t |
(sqrt 2) |
2 |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))) |
(* (* (PI) t) (sqrt 2)) |
(* (PI) t) |
(PI) |
t |
(sqrt 2) |
2 |
(- 1 (* v v)) |
(/ (/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) (- 1 (* v v))) |
(/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) |
(/ (+ 1 (* v (* v -5))) t) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
t |
(* (sqrt (+ 2 (* (* v v) -6))) (PI)) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
-6 |
(PI) |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) t) |
(/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
(/.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 #s(literal 1 binary64) (*.f64 v v))))) |
(+ 1 (* v (* v -5))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.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) |
(* (PI) (- 1 (* v v))) |
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(PI) |
(PI.f64) |
(- 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 (* 5 (* v v))) (* (PI) (* t (sqrt 2)))) |
(/.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))))) |
(- 1 (* 5 (* v v))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (PI) (* t (sqrt 2))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(PI) |
(PI.f64) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))) |
(/.f64 (-.f64 #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)))))) |
(- 1 (* 5 (* v v))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 v (*.f64 v #s(literal 5 binary64))) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(* (* (PI) t) (sqrt 2)) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (PI) t) |
(*.f64 (PI.f64) t) |
(PI) |
(PI.f64) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/ (/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) (- 1 (* 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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
(/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (PI.f64) t)) |
(/ (+ 1 (* v (* v -5))) t) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) t) |
(+ 1 (* v (* v -5))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
t |
(* (sqrt (+ 2 (* (* v v) -6))) (PI)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (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)) |
(* v v) |
(*.f64 v v) |
-6 |
#s(literal -6 binary64) |
(PI) |
(PI.f64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.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 | 99.5% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (*.f64 (PI.f64) t) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.3% | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 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 | 100.0% | (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.8% | (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| 108.0ms | 256× | 0 | valid |
Compiled 371 to 39 computations (89.5% saved)
ival-mult: 24.0ms (46.7% of total)ival-div: 13.0ms (25.3% of total)ival-sqrt: 6.0ms (11.7% of total)ival-add: 4.0ms (7.8% of total)ival-sub: 3.0ms (5.8% of total)ival-pi: 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))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) t)> |
#<alt (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v)))))> |
#<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 (* 5 (* v v))) (* (PI) (* t (sqrt 2))))> |
#<alt (- 1 (* 5 (* v v)))> |
#<alt (* 5 (* v v))> |
#<alt (* v v)> |
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))> |
#<alt (/ (/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) (- 1 (* v v)))> |
#<alt (/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI)))> |
#<alt (/ (+ 1 (* v (* v -5))) t)> |
#<alt (* (* v v) -6)> |
#<alt (* t (sqrt 2))> |
#<alt (* (PI) (* t (sqrt 2)))> |
#<alt (* (* (PI) t) (sqrt 2))> |
#<alt (* (PI) t)> |
| 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) (PI))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (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)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI)))> |
#<alt (* 5 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)> |
#<alt (* -5 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))> |
#<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 (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (/ 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 (/ (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 t)> |
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))> |
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))> |
#<alt (+ (* -5 (/ (pow v 2) t)) (/ 1 t))> |
#<alt (* -5 (/ (pow v 2) t))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* -5 (/ (pow v 2) t))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<alt (/ (+ 1 (* -5 (pow v 2))) t)> |
#<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 (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
#<alt (* t (PI))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | v | @ | 0 | (/ (+ 1 (* v (* v -5))) t) |
| 4.0ms | v | @ | inf | (/ (- 1 (* 5 (* v v))) (* (PI) (* t (sqrt 2)))) |
| 2.0ms | v | @ | 0 | (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
| 1.0ms | t | @ | inf | (* t (sqrt 2)) |
| 1.0ms | v | @ | inf | (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
| 1× | batch-egg-rewrite |
| 3386× | /-lowering-/.f32 |
| 3386× | /-lowering-/.f64 |
| 3104× | *-lowering-*.f32 |
| 3104× | *-lowering-*.f64 |
| 1604× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 202 |
| 1 | 215 | 189 |
| 2 | 1936 | 185 |
| 0 | 8442 | 185 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) t) |
(/ (+ 1 (* v (* v -5))) (* (sqrt (+ 2 (* (* v v) -6))) (* (PI) (- 1 (* v v))))) |
(+ 1 (* v (* v -5))) |
(* v (* v -5)) |
(/ (sqrt 1/2) (* t (PI))) |
(sqrt 1/2) |
(* t (PI)) |
(PI) |
(/ (- 1 (* 5 (* v v))) (* (PI) (* t (sqrt 2)))) |
(- 1 (* 5 (* v v))) |
(* 5 (* v v)) |
(* v v) |
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))) |
(/ (/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) (- 1 (* v v))) |
(/ (/ (+ 1 (* v (* v -5))) t) (* (sqrt (+ 2 (* (* v v) -6))) (PI))) |
(/ (+ 1 (* v (* v -5))) t) |
(* (* v v) -6) |
(* t (sqrt 2)) |
(* (PI) (* t (sqrt 2))) |
(* (* (PI) t) (sqrt 2)) |
(* (PI) t) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) t))) |
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(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) 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)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.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)))) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.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 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (PI.f64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) 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 (+.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) t)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 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 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (PI.f64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (PI.f64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (pow.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (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)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) t))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))))) t) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))))) t)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) t) (/.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))))) t)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (+.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)))) t) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) |
(/.f64 (*.f64 (+.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 (+.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)))) t)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64)))) (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))) (neg.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) t)) (+.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 #s(literal 1 binary64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)))) t))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) t))) (neg.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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(pow.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (+.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 t (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 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 t (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.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 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 #s(literal 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 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (PI.f64)) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(*.f64 t (PI.f64)) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 t #s(literal 1 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))) |
| 1× | egg-herbie |
| 5034× | *-lowering-*.f32 |
| 5034× | *-lowering-*.f64 |
| 3178× | +-lowering-+.f64 |
| 3178× | +-lowering-+.f32 |
| 2992× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 5771 |
| 1 | 1115 | 5103 |
| 2 | 4678 | 4954 |
| 0 | 8070 | 4954 |
| 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)))) |
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(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
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(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
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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)))))) |
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(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
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(/ (sqrt 1/2) (PI)) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (PI))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (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)))) (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* (PI) (sqrt 1/2)))))))) (* 3 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
(* 5 (/ (sqrt -1/6) (* v (PI)))) |
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(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(* -5 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))) (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (* 5 (/ (sqrt -1/6) (PI)))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (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)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 4 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (* 5 (/ (sqrt -1/6) (PI))))))))) (+ (/ 1/9 (* (pow v 6) (* (PI) (sqrt -1/6)))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/9 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
1 |
(+ 1 (* -5 (pow v 2))) |
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(* -5 (pow v 2)) |
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(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
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(/ (sqrt 1/2) (* t (PI))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
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(* t (PI)) |
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(* t (PI)) |
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(/ 1 (* t (* (PI) (sqrt 2)))) |
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(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
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(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
1 |
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(* 5 (pow v 2)) |
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(pow v 2) |
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(pow v 2) |
(pow v 2) |
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(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
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(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
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(/ 5 (* t (* (PI) (sqrt 2)))) |
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(/ 5 (* t (* (PI) (sqrt 2)))) |
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(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (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))))) |
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(/ (- (+ (* -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))))) |
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(* -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 (PI))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (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)))) |
(+ (* (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)))) |
(* -5 (/ (* v (sqrt -1/6)) (* t (PI)))) |
(* 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))))))) |
(* 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)))))))) |
(* 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)))))))) |
(* 5 (/ (* v (sqrt -1/6)) (* t (PI)))) |
(* -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)))))))) |
(* -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))))))))) |
(* -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))))))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (PI))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/ 1 t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(* -5 (/ (pow v 2) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* -5 (/ (pow v 2) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(* -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 (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
(* t (PI)) |
| Outputs |
|---|
(/ (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 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 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t))))) |
(+ (* (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) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t)) (*.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) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t))))))) |
(+ (* (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 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -4 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 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t) (+.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 -27/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t) (+.f64 (/.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t)))))) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) t))))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/.f64 (*.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (PI.f64) (*.f64 t v))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #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 (/.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 v v)) (*.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 (*.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 (*.f64 t (PI.f64)) (pow.f64 v #s(literal 4 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 (/.f64 #s(literal -5/36 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 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 (/.f64 #s(literal -25/2592 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 6 binary64))) t) (+.f64 (/.f64 (/.f64 #s(literal -5/144 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (/.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 (*.f64 t (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 (/.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 (/.f64 (/.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 6 binary64))) t))) (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) t) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (*.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 1/9 binary64) t) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (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 (PI.f64) (*.f64 t v))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #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 (/.f64 (/.f64 #s(literal -5/36 binary64) (*.f64 v v)) (*.f64 (PI.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)) |
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(* -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 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
(* t (PI)) |
(*.f64 t (PI.f64)) |
Compiled 53198 to 3886 computations (92.7% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1755 | 14 | 1769 |
| Fresh | 2 | 1 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1759 | 18 | 1777 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 98.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) | |
| ✓ | 99.8% | (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
| 98.6% | (/.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 v v))) | |
| 98.6% | (/.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)))) | |
| 97.9% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) | |
| ▶ | 98.0% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.6% | (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) | |
| 98.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 98.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
| ✓ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| 98.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| 98.5% | (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| 98.0% | (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) | |
| ▶ | 98.4% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| 98.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
Compiled 510 to 401 computations (21.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
| ✓ | cost-diff | 0 | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (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 #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)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| 2954× | *-lowering-*.f32 |
| 2954× | *-lowering-*.f64 |
| 1984× | sum5-define |
| 1394× | fma-lowering-fma.f32 |
| 1394× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 198 |
| 1 | 69 | 189 |
| 2 | 176 | 187 |
| 3 | 506 | 187 |
| 4 | 1788 | 187 |
| 5 | 3775 | 187 |
| 6 | 6284 | 187 |
| 0 | 8253 | 187 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) t) |
(/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(sqrt 2) |
2 |
t |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
1/2 |
t |
(PI) |
(/ 1 (* (PI) (* t (sqrt 2)))) |
1 |
(* (PI) (* t (sqrt 2))) |
(PI) |
(* t (sqrt 2)) |
t |
(sqrt 2) |
2 |
(/ (- 1 (* 5 (* v v))) (* (* (sqrt 2) (PI)) t)) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (* (sqrt 2) (PI)) t) |
(* (sqrt 2) (PI)) |
(sqrt 2) |
2 |
(PI) |
t |
(* (/ (+ 1 (* v (* v -5))) (PI)) (/ 1 (* t (sqrt 2)))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
1 |
(* v (* v -5)) |
v |
(* v -5) |
-5 |
(PI) |
(/ 1 (* t (sqrt 2))) |
(* t (sqrt 2)) |
t |
(sqrt 2) |
2 |
| Outputs |
|---|
(/ (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) t) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (/ (sqrt 1/2) t) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
t |
(PI) |
(PI.f64) |
(/ 1 (* (PI) (* t (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
1 |
#s(literal 1 binary64) |
(* (PI) (* t (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(PI) |
(PI.f64) |
(* t (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (- 1 (* 5 (* v v))) (* (* (sqrt 2) (PI)) t)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(- 1 (* 5 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (* (sqrt 2) (PI)) t) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(* (sqrt 2) (PI)) |
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(PI) |
(PI.f64) |
t |
(* (/ (+ 1 (* v (* v -5))) (PI)) (/ 1 (* t (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
(+ 1 (* v (* v -5))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* v (* v -5)) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
v |
(* v -5) |
(*.f64 v #s(literal -5 binary64)) |
-5 |
#s(literal -5 binary64) |
(PI) |
(PI.f64) |
(/ 1 (* t (sqrt 2))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(* t (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
t |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.3% | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.3% | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.5% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ✓ | accuracy | 99.3% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| ✓ | accuracy | 99.8% | (*.f64 v (*.f64 v #s(literal -5 binary64))) |
| 98.0ms | 256× | 0 | valid |
Compiled 205 to 30 computations (85.4% saved)
ival-mult: 18.0ms (46% of total)ival-div: 12.0ms (30.7% of total)ival-sqrt: 4.0ms (10.2% of total)ival-pi: 1.0ms (2.6% of total)ival-sub: 1.0ms (2.6% of total)ival-add: 1.0ms (2.6% of total)const: 1.0ms (2.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) t)> |
#<alt (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2))> |
#<alt (/ (+ 1 (* v (* v -5))) (PI))> |
#<alt (+ 1 (* v (* v -5)))> |
#<alt (/ (/ (sqrt 1/2) t) (PI))> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (sqrt 1/2)> |
#<alt (PI)> |
#<alt (/ 1 (* (PI) (* t (sqrt 2))))> |
#<alt (* (PI) (* t (sqrt 2)))> |
#<alt (* t (sqrt 2))> |
#<alt (/ (- 1 (* 5 (* v v))) (* (* (sqrt 2) (PI)) t))> |
#<alt (- 1 (* 5 (* v v)))> |
#<alt (* 5 (* v v))> |
#<alt (* v v)> |
#<alt (* (/ (+ 1 (* v (* v -5))) (PI)) (/ 1 (* t (sqrt 2))))> |
#<alt (* v (* v -5))> |
#<alt (* (* (sqrt 2) (PI)) t)> |
#<alt (/ 1 (* t (sqrt 2)))> |
| Outputs |
|---|
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* (PI) (sqrt 2)))> |
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2))))> |
#<alt (* -5 (/ (pow v 2) (* (PI) (sqrt 2))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* -5 (/ (pow v 2) (* (PI) (sqrt 2))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2))))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI)))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* -5 (/ (pow v 2) (PI)))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt (* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ (sqrt 1/2) t)> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* -5 (pow v 2))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (/ 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)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | t | @ | 0 | (/ 1 (* (PI) (* t (sqrt 2)))) |
| 0.0ms | t | @ | 0 | (/ (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) t) |
| 0.0ms | v | @ | 0 | (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) |
| 0.0ms | t | @ | 0 | (/ 1 (* t (sqrt 2))) |
| 0.0ms | v | @ | inf | (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) |
| 1× | batch-egg-rewrite |
| 3248× | *-lowering-*.f32 |
| 3248× | *-lowering-*.f64 |
| 2654× | /-lowering-/.f32 |
| 2654× | /-lowering-/.f64 |
| 1320× | prod-diff |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 131 |
| 1 | 164 | 122 |
| 2 | 1363 | 122 |
| 0 | 8755 | 122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) t) |
(/ (/ (+ 1 (* v (* v -5))) (PI)) (sqrt 2)) |
(/ (+ 1 (* v (* v -5))) (PI)) |
(+ 1 (* v (* v -5))) |
(/ (/ (sqrt 1/2) t) (PI)) |
(/ (sqrt 1/2) t) |
(sqrt 1/2) |
(PI) |
(/ 1 (* (PI) (* t (sqrt 2)))) |
(* (PI) (* t (sqrt 2))) |
(* t (sqrt 2)) |
(/ (- 1 (* 5 (* v v))) (* (* (sqrt 2) (PI)) t)) |
(- 1 (* 5 (* v v))) |
(* 5 (* v v)) |
(* v v) |
(* (/ (+ 1 (* v (* v -5))) (PI)) (/ 1 (* t (sqrt 2)))) |
(* v (* v -5)) |
(* (* (sqrt 2) (PI)) t) |
(/ 1 (* t (sqrt 2))) |
| Outputs |
|---|
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 5 binary64) t) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (fma.f64 (neg.f64 (/.f64 #s(literal 5 binary64) t)) (/.f64 (*.f64 v v) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) t)) (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (fma.f64 (neg.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 v v) t) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (*.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal 5 binary64)))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) #s(literal 5 binary64) (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal 5 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (neg.f64 (*.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (*.f64 v v)))) (fma.f64 (neg.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (*.f64 v v) (*.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (*.f64 v v)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64))) (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (neg.f64 (*.f64 (/.f64 v (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (*.f64 v #s(literal 5 binary64))))) (fma.f64 (neg.f64 (/.f64 v (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (*.f64 v #s(literal 5 binary64)) (*.f64 (/.f64 v (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (*.f64 v #s(literal 5 binary64))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t))) (/.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (neg.f64 (*.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) t)) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) t))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 5 binary64) (*.f64 (PI.f64) t)) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 v (*.f64 v #s(literal 5 binary64))))))))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (PI.f64)) t) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -25 binary64))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 t (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 t (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal -1 binary64)) (PI.f64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal -5 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v 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 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(neg.f64 (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 25 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -25 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
(*.f64 v (*.f64 v #s(literal -5 binary64))) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal -5 binary64)) v) |
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) |
(*.f64 (*.f64 v #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 5 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 v #s(literal 5 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) #s(literal 1 binary64))) |
(/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)))) |
(*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) t)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))) t) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 5224× | *-lowering-*.f32 |
| 5224× | *-lowering-*.f64 |
| 1694× | /-lowering-/.f32 |
| 1694× | /-lowering-/.f64 |
| 1350× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 2307 |
| 1 | 133 | 2289 |
| 2 | 381 | 1874 |
| 3 | 1445 | 1838 |
| 4 | 5921 | 1838 |
| 0 | 8475 | 1838 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ 1 (* (PI) (sqrt 2))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* -5 (pow v 2)) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(/ 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))) |
| Outputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/ 1 (* (PI) (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) (/ 1 (* (PI) (sqrt 2)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* -5 (/ (pow v 2) (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (* (PI) (sqrt 2)))) (* 5 (/ 1 (* (PI) (sqrt 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(* -5 (/ (pow v 2) (PI))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(* -5 (/ (pow v 2) (PI))) |
(/.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(+ 1 (* -5 (pow v 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
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(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
(/ 1 (* t (sqrt 2))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) t) |
Compiled 57634 to 3299 computations (94.3% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2323 | 9 | 2332 |
| Fresh | 6 | 4 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2333 | 17 | 2350 |
| Status | Accuracy | Program |
|---|---|---|
| 97.9% | (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) t) | |
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ▶ | 98.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| 98.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) | |
| ✓ | 99.8% | (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
| 98.6% | (/.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 v v))) | |
| 98.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) | |
| ▶ | 97.9% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | 98.0% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| ▶ | 98.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
| ▶ | 98.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| 98.4% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) | |
| 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)))) | |
| ▶ | 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
| 97.8% | (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) | |
| 97.8% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
Compiled 488 to 382 computations (21.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| ✓ | cost-diff | 256 | (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
| ✓ | 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 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| 4842× | *-lowering-*.f32 |
| 4842× | *-lowering-*.f64 |
| 2888× | /-lowering-/.f32 |
| 2888× | /-lowering-/.f64 |
| 1950× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 199 |
| 1 | 84 | 191 |
| 2 | 262 | 181 |
| 3 | 1268 | 181 |
| 4 | 5738 | 181 |
| 0 | 8086 | 181 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ 1 (PI)) (sqrt 2)) t) |
(/ (/ 1 (PI)) (sqrt 2)) |
(/ 1 (PI)) |
1 |
(PI) |
(sqrt 2) |
2 |
t |
(/ (/ (sqrt 1/2) (PI)) t) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
1/2 |
(PI) |
t |
(/ 1 (* (PI) (/ -1 (/ -1 (* (sqrt 2) t))))) |
1 |
(* (PI) (/ -1 (/ -1 (* (sqrt 2) t)))) |
(PI) |
(/ -1 (/ -1 (* (sqrt 2) t))) |
-1 |
(/ -1 (* (sqrt 2) t)) |
(* (sqrt 2) t) |
(sqrt 2) |
2 |
t |
(/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(/ (PI) (/ (pow 2 -1/2) t)) |
(PI) |
(/ (pow 2 -1/2) t) |
(pow 2 -1/2) |
2 |
-1/2 |
t |
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt 2) (PI)) t) (- 1 (* v v)))) |
(- 1 (* 5 (* v v))) |
1 |
(* 5 (* v v)) |
5 |
(* v v) |
v |
(* (* (* (sqrt 2) (PI)) t) (- 1 (* v v))) |
(* (* (sqrt 2) (PI)) t) |
(* (sqrt 2) (PI)) |
(sqrt 2) |
2 |
(PI) |
t |
(- 1 (* v v)) |
| Outputs |
|---|
(/ (/ (/ 1 (PI)) (sqrt 2)) t) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) t) |
(/ (/ 1 (PI)) (sqrt 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (/ (sqrt 1/2) (PI)) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
(/ (sqrt 1/2) (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 (* (PI) (/ -1 (/ -1 (* (sqrt 2) t))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) t) |
1 |
#s(literal 1 binary64) |
(* (PI) (/ -1 (/ -1 (* (sqrt 2) t)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(PI) |
(PI.f64) |
(/ -1 (/ -1 (* (sqrt 2) t))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
-1 |
#s(literal -1 binary64) |
(/ -1 (* (sqrt 2) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt 2) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
t |
(/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(- 1 (* 5 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(/ (PI) (/ (pow 2 -1/2) t)) |
(/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) |
(PI) |
(PI.f64) |
(/ (pow 2 -1/2) t) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) |
(pow 2 -1/2) |
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
2 |
#s(literal 2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
t |
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt 2) (PI)) t) (- 1 (* v v)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(- 1 (* 5 (* v v))) |
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(* 5 (* v v)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
5 |
#s(literal 5 binary64) |
(* v v) |
(*.f64 v v) |
v |
(* (* (* (sqrt 2) (PI)) t) (- 1 (* v v))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (* (sqrt 2) (PI)) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) t)) |
(* (sqrt 2) (PI)) |
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(PI) |
(PI.f64) |
t |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| ✓ | accuracy | 99.6% | (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) |
| ✓ | accuracy | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
| ✓ | accuracy | 99.3% | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
| ✓ | accuracy | 99.5% | (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
| ✓ | accuracy | 99.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.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 | 100.0% | (/.f64 #s(literal 1 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| 97.0ms | 256× | 0 | valid |
Compiled 210 to 34 computations (83.8% saved)
ival-div: 20.0ms (42.8% of total)ival-mult: 11.0ms (23.5% of total)ival-pow: 6.0ms (12.8% of total)ival-sqrt: 4.0ms (8.6% of total)ival-sub: 3.0ms (6.4% of total)ival-pi: 1.0ms (2.1% of total)const: 1.0ms (2.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (/ 1 (PI)) (sqrt 2)) t)> |
#<alt (/ (/ 1 (PI)) (sqrt 2))> |
#<alt (/ 1 (PI))> |
#<alt (PI)> |
#<alt (/ (/ (sqrt 1/2) (PI)) t)> |
#<alt (/ (sqrt 1/2) (PI))> |
#<alt (sqrt 1/2)> |
#<alt (/ 1 (* (PI) (/ -1 (/ -1 (* (sqrt 2) t)))))> |
#<alt (* (PI) (/ -1 (/ -1 (* (sqrt 2) t))))> |
#<alt (/ -1 (/ -1 (* (sqrt 2) t)))> |
#<alt (/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t)))> |
#<alt (- 1 (* 5 (* v v)))> |
#<alt (* 5 (* v v))> |
#<alt (* v v)> |
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt 2) (PI)) t) (- 1 (* v v))))> |
#<alt (sqrt 2)> |
#<alt (* (sqrt 2) t)> |
#<alt (/ -1 (* (sqrt 2) t))> |
#<alt (/ (pow 2 -1/2) t)> |
#<alt (/ (PI) (/ (pow 2 -1/2) t))> |
#<alt (* (* (sqrt 2) (PI)) t)> |
#<alt (* (* (* (sqrt 2) (PI)) t) (- 1 (* v v)))> |
| Outputs |
|---|
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (/ 1 (* t (* (PI) (sqrt 2))))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (/ (sqrt 1/2) (* t (PI)))> |
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI))))> |
#<alt (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI))))))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt (/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI)))> |
#<alt 1> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (+ 1 (* -5 (pow v 2)))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* -5 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (* 5 (pow v 2))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (/ 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))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (* t (sqrt 2))> |
#<alt (/ -1 (* t (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 (/ (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 (/ (* 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 (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (sqrt 2)))> |
#<alt (* t (* (PI) (* (sqrt 2) (- 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))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
| 1.0ms | t | @ | 0 | (/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
| 1.0ms | t | @ | inf | (/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
| 0.0ms | v | @ | inf | (/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
| 0.0ms | v | @ | inf | (* (* (* (sqrt 2) (PI)) t) (- 1 (* v v))) |
| 1× | batch-egg-rewrite |
| 3708× | /-lowering-/.f32 |
| 3708× | /-lowering-/.f64 |
| 3154× | *-lowering-*.f32 |
| 3154× | *-lowering-*.f64 |
| 1550× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 145 |
| 1 | 207 | 129 |
| 2 | 1676 | 124 |
| 0 | 8230 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (/ 1 (PI)) (sqrt 2)) t) |
(/ (/ 1 (PI)) (sqrt 2)) |
(/ 1 (PI)) |
(PI) |
(/ (/ (sqrt 1/2) (PI)) t) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
(/ 1 (* (PI) (/ -1 (/ -1 (* (sqrt 2) t))))) |
(* (PI) (/ -1 (/ -1 (* (sqrt 2) t)))) |
(/ -1 (/ -1 (* (sqrt 2) t))) |
(/ (- 1 (* 5 (* v v))) (/ (PI) (/ (pow 2 -1/2) t))) |
(- 1 (* 5 (* v v))) |
(* 5 (* v v)) |
(* v v) |
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt 2) (PI)) t) (- 1 (* v v)))) |
(sqrt 2) |
(* (sqrt 2) t) |
(/ -1 (* (sqrt 2) t)) |
(/ (pow 2 -1/2) t) |
(/ (PI) (/ (pow 2 -1/2) t)) |
(* (* (sqrt 2) (PI)) t) |
(* (* (* (sqrt 2) (PI)) t) (- 1 (* v v))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (PI.f64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) t))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) t)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(neg.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (sqrt.f64 (PI.f64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) t) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) (/.f64 t #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (PI.f64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) #s(literal 1 binary64)) t) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) t) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) t)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (sqrt.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v)))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)))) (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))))))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t (-.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 v)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) t) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 1× | egg-herbie |
| 4406× | *-lowering-*.f32 |
| 4406× | *-lowering-*.f64 |
| 2354× | /-lowering-/.f32 |
| 2354× | /-lowering-/.f64 |
| 1396× | fma-lowering-fma.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 2090 |
| 1 | 260 | 2063 |
| 2 | 907 | 1923 |
| 3 | 3620 | 1826 |
| 4 | 6814 | 1824 |
| 0 | 8045 | 1824 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) (/ (sqrt 1/2) (* t (PI)))) |
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* -5 (/ (* (pow v 2) (sqrt 1/2)) (* t (PI)))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (* t (PI)))) (/ (sqrt 1/2) (* t (* (pow v 2) (PI)))))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
(/ (* (sqrt 1/2) (- 1 (* 5 (pow v 2)))) (* t (PI))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -5 (pow v 2))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(* 5 (pow v 2)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(/ 5 (* t (* (PI) (sqrt 2)))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2))))))) |
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(* t (sqrt 2)) |
(/ -1 (* t (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))) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (sqrt 1/2) t) |
(/ (* 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 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (sqrt 2))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
| Outputs |
|---|
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ (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 (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(/ -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)))) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (sqrt 1/2) t) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/ (* t (PI)) (sqrt 1/2)) |
(/.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(+ (* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 v v))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* -1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 v v))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(* (pow v 2) (+ (* -1 (* t (* (PI) (sqrt 2)))) (/ (* t (* (PI) (sqrt 2))) (pow v 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
Compiled 48466 to 4560 computations (90.6% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2000 | 7 | 2007 |
| Fresh | 7 | 1 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2008 | 16 | 2024 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.5% | (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | 98.9% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
| ✓ | 99.8% | (/.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
| ✓ | 97.9% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
| ✓ | 98.0% | (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
| 98.5% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) t)) | |
| 98.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) | |
| 98.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) | |
| 98.1% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ✓ | 98.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.0% | (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) | |
| ✓ | 98.1% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
| 98.4% | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) | |
| ✓ | 98.3% | (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
| 97.8% | (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (PI.f64))) | |
| 98.6% | (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 861 to 331 computations (61.6% 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #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 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) t) |
(*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) 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)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 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 (*.f64 v #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.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 v v))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) (-.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 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.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 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) 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))))) |
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.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)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) t) |
5 calls:
| 15.0ms | t |
| 11.0ms | (/.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)))) |
| 11.0ms | (*.f64 (PI.f64) t) |
| 10.0ms | (*.f64 v v) |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | v |
| 99.8% | 1 | t |
| 99.8% | 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)))) |
| 99.8% | 1 | (*.f64 v v) |
| 99.8% | 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #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 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) t) |
(*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) 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)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 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 (*.f64 v #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.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 v v))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) (-.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 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
4 calls:
| 11.0ms | t |
| 10.0ms | (*.f64 (PI.f64) t) |
| 9.0ms | 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #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 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 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 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (PI.f64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) t)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 t (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))))) t) |
(*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) 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)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 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 (*.f64 v #s(literal -5 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.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 v v))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (/.f64 (PI.f64) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
4 calls:
| 127.0ms | t |
| 9.0ms | (*.f64 (PI.f64) t) |
| 9.0ms | v |
| 8.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | v |
| 98.9% | 1 | t |
| 98.9% | 1 | (*.f64 v v) |
| 98.9% | 1 | (*.f64 (PI.f64) t) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #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 2 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
3 calls:
| 3.0ms | (*.f64 (PI.f64) t) |
| 3.0ms | t |
| 3.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | v |
| 98.6% | 1 | t |
| 98.6% | 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
3 calls:
| 26.0ms | t |
| 3.0ms | (*.f64 (PI.f64) t) |
| 3.0ms | 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)
Total -0.3b remaining (-21.9%)
Threshold costs -0.3b (-21.9%)
| 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 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
3 calls:
| 2.0ms | t |
| 2.0ms | v |
| 2.0ms | (*.f64 (PI.f64) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | v |
| 98.1% | 1 | t |
| 98.1% | 1 | (*.f64 (PI.f64) t) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 82 |
| 1 | 55 | 82 |
| 2 | 62 | 82 |
| 3 | 66 | 82 |
| 4 | 68 | 82 |
| 1× | saturated |
| Inputs |
|---|
(/.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 (PI.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.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)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.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 t (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) t)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t)) |
| 5702× | *-lowering-*.f32 |
| 5702× | *-lowering-*.f64 |
| 5034× | *-lowering-*.f32 |
| 5034× | *-lowering-*.f64 |
| 5020× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 5022 |
| 1 | 1659 | 4671 |
| 2 | 7916 | 4671 |
| 0 | 8079 | 4671 |
| 0 | 334 | 5771 |
| 1 | 1115 | 5103 |
| 2 | 4678 | 4954 |
| 0 | 8070 | 4954 |
| 0 | 31 | 144 |
| 1 | 179 | 139 |
| 2 | 1501 | 131 |
| 0 | 8520 | 131 |
| 0 | 29 | 131 |
| 1 | 164 | 122 |
| 2 | 1363 | 122 |
| 0 | 8755 | 122 |
| 0 | 19 | 28 |
| 1 | 57 | 28 |
| 2 | 190 | 24 |
| 3 | 944 | 23 |
| 4 | 4965 | 23 |
| 0 | 8327 | 23 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 170 to 110 computations (35.3% saved)
(negabs t)
(abs v)
Compiled 564 to 336 computations (40.4% saved)
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