
Time bar (total: 20.3s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 27 to 20 computations (25.9% saved)
ival-add: 16.0ms (24.4% of total)ival-pow: 13.0ms (19.9% of total)ival-mult: 10.0ms (15.3% of total)ival-sub: 9.0ms (13.7% of total)ival-div: 7.0ms (10.7% of total)ival-sqrt: 4.0ms (6.1% of total)ival-atan: 3.0ms (4.6% of total)ival-pi: 2.0ms (3.1% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| 990.0ms | 5589× | 0 | valid |
| 663.0ms | 1217× | 2 | valid |
| 617.0ms | 849× | 3 | valid |
| 227.0ms | 601× | 1 | valid |
ival-pow: 367.0ms (20.4% of total)ival-div: 269.0ms (15% of total)ival-sub: 265.0ms (14.7% of total)ival-mult: 200.0ms (11.1% of total)backward-pass: 180.0ms (10% of total)ival-atan: 170.0ms (9.5% of total)ival-sqrt: 137.0ms (7.6% of total)ival-add: 93.0ms (5.2% of total)ival-pi: 89.0ms (5% of total)const: 27.0ms (1.5% of total)| 2× | egg-herbie |
| 1726× | fma-define |
| 1718× | sum3-define |
| 1424× | fma-define |
| 1392× | sum5-define |
| 1300× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 232 |
| 1 | 216 | 166 |
| 2 | 671 | 137 |
| 3 | 2413 | 133 |
| 0 | 19 | 22 |
| 1 | 39 | 16 |
| 2 | 89 | 13 |
| 3 | 251 | 13 |
| 4 | 861 | 13 |
| 5 | 2831 | 13 |
| 6 | 5726 | 13 |
| 7 | 6855 | 13 |
| 8 | 7691 | 13 |
| 0 | 8055 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Inputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
(* 180 (/ (atan (* (/ 1 B) (- (- C (neg A)) (sqrt (+ (pow (- (neg A) C) 2) (pow B 2)))))) (PI))) |
(* 180 (/ (atan (* (/ 1 (neg B)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow (neg B) 2)))))) (PI))) |
(* 180 (/ (atan (* (/ 1 B) (- (- (neg C) A) (sqrt (+ (pow (- A (neg C)) 2) (pow B 2)))))) (PI))) |
(neg (* 180 (/ (atan (* (/ 1 B) (- (- C (neg A)) (sqrt (+ (pow (- (neg A) C) 2) (pow B 2)))))) (PI)))) |
(neg (* 180 (/ (atan (* (/ 1 (neg B)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow (neg B) 2)))))) (PI)))) |
(neg (* 180 (/ (atan (* (/ 1 B) (- (- (neg C) A) (sqrt (+ (pow (- A (neg C)) 2) (pow B 2)))))) (PI)))) |
(* 180 (/ (atan (* (/ 1 A) (- (- C B) (sqrt (+ (pow (- B C) 2) (pow A 2)))))) (PI))) |
(* 180 (/ (atan (* (/ 1 B) (- (- A C) (sqrt (+ (pow (- C A) 2) (pow B 2)))))) (PI))) |
(* 180 (/ (atan (* (/ 1 C) (- (- B A) (sqrt (+ (pow (- A B) 2) (pow C 2)))))) (PI))) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
(rad2deg (atan (/ (- (- C A) (hypot B (- C A))) B))) |
(* 180 (/ (atan (* (/ 1 B) (- (- C (neg A)) (sqrt (+ (pow (- (neg A) C) 2) (pow B 2)))))) (PI))) |
(rad2deg (atan (/ (- (+ C A) (hypot B (+ C A))) B))) |
(* 180 (/ (atan (* (/ 1 (neg B)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow (neg B) 2)))))) (PI))) |
(rad2deg (atan (/ (+ (- A C) (hypot B (- C A))) B))) |
(* 180 (/ (atan (* (/ 1 B) (- (- (neg C) A) (sqrt (+ (pow (- A (neg C)) 2) (pow B 2)))))) (PI))) |
(rad2deg (atan (/ (neg (sum3 C A (hypot B (+ C A)))) B))) |
(neg (* 180 (/ (atan (* (/ 1 B) (- (- C (neg A)) (sqrt (+ (pow (- (neg A) C) 2) (pow B 2)))))) (PI)))) |
(neg (rad2deg (atan (/ (- (+ C A) (hypot B (+ C A))) B)))) |
(neg (* 180 (/ (atan (* (/ 1 (neg B)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow (neg B) 2)))))) (PI)))) |
(neg (rad2deg (atan (/ (+ (- A C) (hypot B (- C A))) B)))) |
(neg (* 180 (/ (atan (* (/ 1 B) (- (- (neg C) A) (sqrt (+ (pow (- A (neg C)) 2) (pow B 2)))))) (PI)))) |
(neg (rad2deg (atan (/ (neg (sum3 C A (hypot B (+ C A)))) B)))) |
(* 180 (/ (atan (* (/ 1 A) (- (- C B) (sqrt (+ (pow (- B C) 2) (pow A 2)))))) (PI))) |
(rad2deg (atan (/ (- (- C B) (hypot A (- B C))) A))) |
(* 180 (/ (atan (* (/ 1 B) (- (- A C) (sqrt (+ (pow (- C A) 2) (pow B 2)))))) (PI))) |
(rad2deg (atan (/ (- (- A C) (hypot B (- C A))) B))) |
(* 180 (/ (atan (* (/ 1 C) (- (- B A) (sqrt (+ (pow (- A B) 2) (pow C 2)))))) (PI))) |
(rad2deg (atan (/ (- (- B A) (hypot C (- A B))) C))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 151 | 0 | - | 1 | (5.320290754111947e-183 4.2503339718045513e-196 1.1244369628878933e-158) | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 50 | 0 | - | 0 | - | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| 18 | 0 | - | 1 | (-2.379261499676963e+179 -3.3395277375574167e-69 -4.595355059158547e-6) | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 2 | 0 | - | 2 | (-3.735968184542142e-187 -7.977293637978799e-160 1.3655021081563764e+159) | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) B) |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 0 | 62 | (-7.590779607036916e-117 2.005680762565358e-213 -4.7703338759212163e+73) | 0 | - | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 180 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 C A) |
| 0 | 0 | - | 0 | - | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 B #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (-.f64 A C) |
| 0 | 0 | - | 0 | - | C |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | A |
| 129.0ms | 70× | 3 | valid |
| 86.0ms | 324× | 0 | valid |
| 69.0ms | 72× | 2 | valid |
| 52.0ms | 46× | 1 | valid |
Compiled 310 to 59 computations (81% saved)
ival-pow: 20.0ms (19.1% of total)backward-pass: 20.0ms (19.1% of total)ival-sub: 15.0ms (14.3% of total)ival-div: 13.0ms (12.4% of total)ival-mult: 12.0ms (11.5% of total)ival-sqrt: 8.0ms (7.6% of total)ival-atan: 7.0ms (6.7% of total)ival-add: 5.0ms (4.8% of total)ival-pi: 3.0ms (2.9% of total)const: 2.0ms (1.9% of total)Compiled 19 to 12 computations (36.8% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.0% | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ▶ | 52.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
Compiled 45 to 31 computations (31.1% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 448 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| ✓ | cost-diff | 6208 | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6336 | (pow.f64 B #s(literal 2 binary64)) |
| 2032× | sum3-define |
| 1640× | fnmadd-define |
| 1400× | sum4-define |
| 1194× | fma-lowering-fma.f32 |
| 1194× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 212 |
| 1 | 63 | 159 |
| 2 | 143 | 153 |
| 3 | 391 | 153 |
| 4 | 1454 | 153 |
| 5 | 4776 | 153 |
| 0 | 8215 | 153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
180 |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
(* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
(/ 1 B) |
1 |
B |
(- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) |
(- C A) |
C |
A |
(sqrt (+ (pow (- A C) 2) (pow B 2))) |
(+ (pow (- A C) 2) (pow B 2)) |
(pow (- A C) 2) |
(- A C) |
2 |
(pow B 2) |
(PI) |
(* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) (/ 180 (PI))) |
(atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) |
(/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
(- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(- C A) |
C |
A |
(sqrt (+ (* B B) (* (- C A) (- C A)))) |
B |
(/ 180 (PI)) |
180 |
(PI) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B)) (PI.f64)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B)) |
(* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
(/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
1 |
#s(literal 1 binary64) |
B |
(- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) |
(-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (pow (- A C) 2) (pow B 2))) |
(hypot.f64 B (-.f64 C A)) |
(+ (pow (- A C) 2) (pow B 2)) |
(+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) |
(pow (- A C) 2) |
(*.f64 (-.f64 C A) (-.f64 C A)) |
(- A C) |
(-.f64 A C) |
2 |
#s(literal 2 binary64) |
(pow B 2) |
(*.f64 B B) |
(PI) |
(PI.f64) |
(* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) (/ 180 (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B)) |
(/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
(/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) B) |
(- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* B B) (* (- C A) (- C A)))) |
(hypot.f64 B (-.f64 C A)) |
B |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B) |
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| ✓ | accuracy | 67.1% | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| 331.0ms | 95× | 5 | exit |
| 77.0ms | 161× | 0 | valid |
Compiled 206 to 26 computations (87.4% saved)
backward-pass: 67.0ms (36.9% of total)ival-mult: 30.0ms (16.5% of total)ival-div: 17.0ms (9.4% of total)ival-sub: 16.0ms (8.8% of total)compiled-spec: 15.0ms (8.3% of total)ival-pow: 12.0ms (6.6% of total)ival-atan: 11.0ms (6.1% of total)ival-sqrt: 8.0ms (4.4% of total)ival-add: 5.0ms (2.8% of total)const: 1.0ms (0.6% of total)ival-pi: 1.0ms (0.6% of total)| Inputs |
|---|
#<alt (pow B 2)> |
#<alt (pow (- A C) 2)> |
#<alt (sqrt (+ (pow (- A C) 2) (pow B 2)))> |
#<alt (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) (/ 180 (PI)))> |
#<alt (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B))> |
#<alt (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)> |
#<alt (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A)))))> |
#<alt (PI)> |
| Outputs |
|---|
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow C 2)> |
#<alt (+ (* -2 (* A C)) (pow C 2))> |
#<alt (+ (* A (+ A (* -2 C))) (pow C 2))> |
#<alt (+ (* A (+ A (* -2 C))) (pow C 2))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2)))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2)))))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A))))> |
#<alt (pow A 2)> |
#<alt (+ (* -2 (* A C)) (pow A 2))> |
#<alt (+ (* C (+ C (* -2 A))) (pow A 2))> |
#<alt (+ (* C (+ C (* -2 A))) (pow A 2))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2)))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2)))))> |
#<alt (pow C 2)> |
#<alt (* (pow C 2) (+ 1 (* -2 (/ A C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C))))> |
#<alt (sqrt (+ (pow B 2) (pow C 2)))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))> |
#<alt (+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))))))))> |
#<alt A> |
#<alt (* A (+ 1 (* -1 (/ C A))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1 A)> |
#<alt (* -1 (* A (+ 1 (* -1 (/ C A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A)))))> |
#<alt (* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A)))))> |
#<alt (sqrt (+ (pow A 2) (pow B 2)))> |
#<alt (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))> |
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#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (* -1 (/ (+ A (* -1 A)) B))> |
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#<alt (* 2 (/ C B))> |
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#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -2 (/ A B))> |
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A))> |
#<alt (* -1/2 (/ B (- C A)))> |
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#<alt -1> |
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#<alt (- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (* -1 (+ A (* -1 A)))> |
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#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
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#<alt (* 2 C)> |
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#<alt (- C (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -2 A)> |
#<alt (* A (- (/ C A) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1/2 (/ (pow B 2) (- C A)))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | A | @ | 0 | (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) (/ 180 (PI))) |
| 3.0ms | B | @ | inf | (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
| 1.0ms | B | @ | 0 | (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
| 1.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | C | @ | -inf | (* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) (/ 180 (PI))) |
| 1× | batch-egg-rewrite |
| 3430× | *-lowering-*.f32 |
| 3430× | *-lowering-*.f64 |
| 3128× | /-lowering-/.f32 |
| 3128× | /-lowering-/.f64 |
| 1640× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 81 |
| 1 | 175 | 68 |
| 2 | 1553 | 68 |
| 0 | 8597 | 68 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow (- A C) 2) |
(sqrt (+ (pow (- A C) 2) (pow B 2))) |
(* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
(* (atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) (/ 180 (PI))) |
(atan (/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B)) |
(/ (- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
(- (- C A) (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(PI) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 B))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 B)) #s(literal 1 binary64))) |
(pow.f64 B #s(literal 2 binary64)) |
(pow.f64 (*.f64 B B) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 B)) |
(*.f64 B B) |
(*.f64 (*.f64 B B) #s(literal 1 binary64)) |
(+.f64 (*.f64 (-.f64 A C) A) (*.f64 (-.f64 A C) (-.f64 #s(literal 0 binary64) C))) |
(+.f64 (*.f64 A (-.f64 A C)) (*.f64 (-.f64 #s(literal 0 binary64) C) (-.f64 A C))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C))) #s(literal 1 binary64))) |
(fma.f64 A (-.f64 A C) (*.f64 (-.f64 #s(literal 0 binary64) C) (-.f64 A C))) |
(fma.f64 (-.f64 A C) A (*.f64 (-.f64 A C) (-.f64 #s(literal 0 binary64) C))) |
(/.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C)))) (*.f64 (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))))) |
(/.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 (*.f64 A A) (*.f64 C C))) (*.f64 (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))) (+.f64 A C))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C)))) (*.f64 (+.f64 A C) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 (*.f64 A A) (*.f64 C C))) (*.f64 (+.f64 A C) (+.f64 A C))) |
(/.f64 (*.f64 (-.f64 A C) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C)))) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C)))) |
(/.f64 (*.f64 (-.f64 A C) (-.f64 (*.f64 A A) (*.f64 C C))) (+.f64 A C)) |
(/.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 A C)) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C)))) |
(/.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 A C)) (+.f64 A C)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))))) (neg.f64 (*.f64 (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 (*.f64 A A) (*.f64 C C)))) (neg.f64 (*.f64 (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))) (+.f64 A C)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))))) (neg.f64 (*.f64 (+.f64 A C) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 (*.f64 A A) (*.f64 C C)))) (neg.f64 (*.f64 (+.f64 A C) (+.f64 A C)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))))) (neg.f64 (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 A C) (-.f64 (*.f64 A A) (*.f64 C C)))) (neg.f64 (+.f64 A C))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 A C))) (neg.f64 (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 A C))) (neg.f64 (+.f64 A C))) |
(pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 A C) (-.f64 A C)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 A C))) |
(*.f64 (-.f64 A C) (-.f64 A C)) |
(*.f64 (*.f64 (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 A A) (*.f64 C (+.f64 A C)))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 A A) (*.f64 C C)) (-.f64 (*.f64 A A) (*.f64 C C))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 A C)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B))))) |
(hypot.f64 B (-.f64 A C)) |
(hypot.f64 (-.f64 A C) B) |
(fabs.f64 (hypot.f64 B (-.f64 A C))) |
(sqrt.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))))) (+.f64 (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)) (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))))) |
(/.f64 (hypot.f64 (*.f64 B (*.f64 B B)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))))))) |
(/.f64 (hypot.f64 (*.f64 B (*.f64 B B)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (sqrt.f64 (+.f64 (*.f64 B (*.f64 B (*.f64 B B))) (-.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 (-.f64 A C) B) (*.f64 (-.f64 A C) B)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))))) (sqrt.f64 (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C))))) |
(/.f64 (neg.f64 (hypot.f64 (*.f64 B (*.f64 B B)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(pow.f64 (hypot.f64 B (-.f64 A C)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (hypot.f64 (*.f64 B (*.f64 B B)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (*.f64 B (*.f64 B B)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 A C) (-.f64 A C)))))))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 A C) B) (-.f64 (-.f64 A C) B))))) |
(*.f64 (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (hypot.f64 B (-.f64 A C))) (sqrt.f64 (hypot.f64 B (-.f64 A C)))) |
(+.f64 (/.f64 (-.f64 C A) B) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 A C))) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 A C))))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 A C)) B)) |
(-.f64 (/.f64 C B) (/.f64 (+.f64 A (hypot.f64 B (-.f64 A C))) B)) |
(-.f64 (/.f64 C B) (/.f64 (-.f64 A (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 A C)))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (+.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A))))) B) (/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 3/2 binary64)) (+.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A))) B) (/.f64 (/.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A))) B)) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 A C))))) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 A C))) (/.f64 #s(literal 1 binary64) B))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))))) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C))) B) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 A C)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 3/2 binary64)))) (*.f64 B (+.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)))) (*.f64 B (+.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)))) (*.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (pow.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (+.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 (hypot.f64 B (-.f64 A C)) (-.f64 C A)))) B)) |
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) |
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))) |
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
| 1× | egg-herbie |
| 5222× | *-lowering-*.f32 |
| 5222× | *-lowering-*.f64 |
| 3070× | +-lowering-+.f64 |
| 3070× | +-lowering-+.f32 |
| 1348× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 689 | 5326 |
| 1 | 2275 | 4171 |
| 2 | 7741 | 4039 |
| 0 | 8113 | 4039 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow C 2) |
(+ (* -2 (* A C)) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(pow A 2) |
(+ (* -2 (* A C)) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(- A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- A C) 6) (pow B 6))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- A C) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(* -1 (+ A (* -1 A))) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(* 2 C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -2 A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
| Outputs |
|---|
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow B 2) |
(*.f64 B B) |
(pow C 2) |
(*.f64 C C) |
(+ (* -2 (* A C)) (pow C 2)) |
(*.f64 C (+.f64 C (*.f64 #s(literal -2 binary64) A))) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+.f64 (*.f64 C C) (*.f64 A (+.f64 A (*.f64 C #s(literal -2 binary64))))) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(+.f64 (*.f64 C C) (*.f64 A (+.f64 A (*.f64 C #s(literal -2 binary64))))) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 C A)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 C C) A) A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 C A)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 C C) A) A)))) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) C) (/.f64 (*.f64 C C) A)) A))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) C) (/.f64 (*.f64 C C) A)) A))) |
(pow A 2) |
(*.f64 A A) |
(+ (* -2 (* A C)) (pow A 2)) |
(*.f64 A (+.f64 A (*.f64 C #s(literal -2 binary64)))) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+.f64 (*.f64 C C) (*.f64 A (+.f64 A (*.f64 C #s(literal -2 binary64))))) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(+.f64 (*.f64 C C) (*.f64 A (+.f64 A (*.f64 C #s(literal -2 binary64))))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) A) C)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (*.f64 C C) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) A) C)) (/.f64 (/.f64 (*.f64 A A) C) C))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (*.f64 C C) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) A) C)) (/.f64 (/.f64 (*.f64 A A) C) C))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) A) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) A) (/.f64 (*.f64 A A) C)) C))) |
(sqrt (+ (pow B 2) (pow C 2))) |
(hypot.f64 B C) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(-.f64 (hypot.f64 B C) (*.f64 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+.f64 (hypot.f64 B C) (*.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (+.f64 (-.f64 #s(literal 0 binary64) C) (*.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3)))))))))) |
(+.f64 (hypot.f64 B C) (*.f64 A (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (+.f64 (-.f64 #s(literal 0 binary64) C) (*.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))))) (*.f64 A (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 B B) (*.f64 C C)) (*.f64 (+.f64 (*.f64 B B) (*.f64 C C)) (+.f64 (*.f64 B B) (*.f64 C C)))))))))))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(*.f64 A (-.f64 #s(literal 1 binary64) (/.f64 C A))) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 B B) (*.f64 A A)) (/.f64 (*.f64 B (*.f64 B C)) (*.f64 A (*.f64 A A))))) (/.f64 C A)))) |
(* -1 A) |
(-.f64 #s(literal 0 binary64) A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(-.f64 #s(literal 0 binary64) (*.f64 A (-.f64 #s(literal 1 binary64) (/.f64 C A)))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(*.f64 (-.f64 #s(literal 0 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) A)) A))) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(*.f64 A (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 B B) (/.f64 (*.f64 B (*.f64 B C)) A))) A)) A)))) |
(sqrt (+ (pow A 2) (pow B 2))) |
(hypot.f64 B A) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (hypot.f64 B A) (*.f64 (*.f64 C A) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+.f64 (hypot.f64 B A) (*.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (+.f64 (-.f64 #s(literal 0 binary64) A) (*.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))))))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))) |
(+.f64 (hypot.f64 B A) (*.f64 C (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (+.f64 (-.f64 #s(literal 0 binary64) A) (*.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))))) (*.f64 C (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A))) (*.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (+.f64 (*.f64 B B) (*.f64 A A))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A)))))))))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 A C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 C (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 A C)) (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(*.f64 C (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 B B) (*.f64 C C)) (/.f64 (*.f64 (*.f64 B B) A) (*.f64 C (*.f64 C C))))) (/.f64 A C)))) |
(* -1 C) |
(-.f64 #s(literal 0 binary64) C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(*.f64 C (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 A C)))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(-.f64 #s(literal 0 binary64) (*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 A (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C))) C)))) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) A) C))) C)) C)) (-.f64 #s(literal 0 binary64) C)) |
(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (-.f64 A C)) (-.f64 A C)) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(+.f64 A (-.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/8 binary64)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) C)) |
(- (+ A (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- A C) 5))) (* 1/8 (/ 1 (pow (- A C) 3))))) (* 1/2 (/ 1 (- A C)))))) C) |
(+.f64 (*.f64 (*.f64 B B) (+.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/16 binary64)) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (-.f64 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(*.f64 B (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
(*.f64 B (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 A C) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) |
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(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) A)) B) (*.f64 B (*.f64 C #s(literal 1/2 binary64)))) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 B (*.f64 C #s(literal 1/2 binary64))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 (-.f64 (*.f64 C (*.f64 #s(literal -1/2 binary64) (pow.f64 B #s(literal 4 binary64)))) (*.f64 C (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C)))))) B)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C))))) B)) A)) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1/2 (/ B (- C A))) |
(*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/8 binary64)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (+.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/16 binary64)) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (+.f64 (*.f64 B (*.f64 B (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 5/128 binary64)) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 A C) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) B)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 A C) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64)))) B)) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (*.f64 C (+.f64 #s(literal 1 binary64) (*.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A))))))) (+.f64 A (hypot.f64 B A))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (*.f64 C (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) (-.f64 #s(literal 0 binary64) A))))) (+.f64 A (hypot.f64 B A))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (*.f64 C (+.f64 (*.f64 C (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A))) (*.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (+.f64 (*.f64 B B) (*.f64 A A))))))))) (+.f64 #s(literal 1 binary64) (*.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))))))) (+.f64 A (hypot.f64 B A))) |
(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)) #s(literal 0 binary64)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C))))) |
(-.f64 (/.f64 (*.f64 A (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C))) C) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) #s(literal 0 binary64))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ A (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))))) |
(-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) C) (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 A (*.f64 (*.f64 B B) A))) (*.f64 C C))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 B B) C) (/.f64 (*.f64 (*.f64 B B) A) (*.f64 C C))))) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(-.f64 #s(literal 0 binary64) (*.f64 C (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) A) C)))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) A) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) (-.f64 #s(literal 0 binary64) C))) (-.f64 #s(literal 0 binary64) C)) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2))) |
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) A) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) A) C))) (-.f64 #s(literal 0 binary64) C))) (-.f64 #s(literal 0 binary64) C))) (-.f64 #s(literal 0 binary64) C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (hypot.f64 B C)) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 (-.f64 C (*.f64 A (-.f64 #s(literal 1 binary64) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))))))) (hypot.f64 B C)) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(+.f64 C (-.f64 (*.f64 A (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (*.f64 (*.f64 #s(literal -1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C)))))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C))))))) (hypot.f64 B C))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(+.f64 (*.f64 A (+.f64 (+.f64 (*.f64 A (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))) (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 B B) (*.f64 C C)) (*.f64 (+.f64 (*.f64 B B) (*.f64 C C)) (+.f64 (*.f64 B B) (*.f64 C C)))))))))) #s(literal -1 binary64)) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C))))))) (-.f64 C (hypot.f64 B C))) |
(* -2 A) |
(*.f64 #s(literal -2 binary64) A) |
(* A (- (/ C A) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 2 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) A) A))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (+.f64 (/.f64 (/.f64 (*.f64 C (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) A) (*.f64 A A)) (-.f64 (-.f64 (/.f64 C A) (-.f64 #s(literal 2 binary64) (/.f64 C A))) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A A))))) |
(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 B B) (/.f64 (*.f64 B (*.f64 B C)) A))) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C)))) A) (*.f64 B (*.f64 B C)))) A) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) A)) (* -1/2 (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 C (*.f64 #s(literal -1/2 binary64) (pow.f64 B #s(literal 4 binary64)))) (*.f64 C (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C)))))) A) (-.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 B (*.f64 B (*.f64 C C)))))) A) (*.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C)) (-.f64 #s(literal 0 binary64) A)) (*.f64 (*.f64 B B) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) A)) |
(* -1/2 (/ (pow B 2) (- C A))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/8 binary64)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (+.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/16 binary64)) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 (*.f64 B B) (+.f64 (*.f64 B (*.f64 B (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 5/128 binary64)) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* -1 B) |
(-.f64 #s(literal 0 binary64) B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 A C) B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 C (-.f64 (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) B) A)) (-.f64 #s(literal 0 binary64) B)))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 C (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B)) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A))) B)) A) (-.f64 #s(literal 0 binary64) B)))) |
Compiled 20173 to 2943 computations (85.4% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 589 | 19 | 608 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 591 | 19 | 610 |
| Status | Accuracy | Program |
|---|---|---|
| 61.2% | (*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 28.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 34.6% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 23.5% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 71.2% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A))))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 14.8% | (*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 15.3% | (*.f64 (atan.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) B) (/.f64 (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (+.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 64.4% | (*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 26.4% | (*.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 29.7% | (*.f64 (atan.f64 (+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 50.0% | (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 40.2% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 19.7% | (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 18.3% | (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 38.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64))) | |
| ▶ | 28.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 27.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) | |
| 48.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) | |
| 26.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64))) |
Compiled 686 to 492 computations (28.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) |
| ✓ | cost-diff | 0 | (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A))))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A))))))) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A))))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))))) |
| 1818× | *-lowering-*.f32 |
| 1818× | *-lowering-*.f64 |
| 1724× | sum3-define |
| 1718× | fma-define |
| 1454× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 239 |
| 1 | 84 | 227 |
| 2 | 161 | 221 |
| 3 | 345 | 221 |
| 4 | 1043 | 221 |
| 5 | 3571 | 221 |
| 0 | 8285 | 221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) (/ 180 (PI))) |
(atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) |
(/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))))) |
1 |
(/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))) |
B |
(- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))) |
C |
(+ A (sqrt (+ (* B B) (* (- C A) (- C A))))) |
A |
(sqrt (+ (* B B) (* (- C A) (- C A)))) |
(- C A) |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan -1) (/ 180 (PI))) |
(atan -1) |
-1 |
(/ 180 (PI)) |
180 |
(PI) |
(* 180 (/ (atan (/ (* B 1/2) A)) (PI))) |
180 |
(/ (atan (/ (* B 1/2) A)) (PI)) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(PI) |
(* (atan (* B (/ 1/2 (- A C)))) (/ 180 (PI))) |
(atan (* B (/ 1/2 (- A C)))) |
(* B (/ 1/2 (- A C))) |
B |
(/ 1/2 (- A C)) |
1/2 |
(- A C) |
A |
C |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan (/ (* -1/2 (* B (/ B (- C A)))) B)) (/ 180 (PI))) |
(atan (/ (* -1/2 (* B (/ B (- C A)))) B)) |
(/ (* -1/2 (* B (/ B (- C A)))) B) |
(* -1/2 (* B (/ B (- C A)))) |
-1/2 |
(* B (/ B (- C A))) |
B |
(/ B (- C A)) |
(- C A) |
C |
A |
(/ 180 (PI)) |
180 |
(PI) |
| Outputs |
|---|
(* (atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) (/ 180 (PI))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) #s(literal 180 binary64)) (PI.f64)) |
(atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) |
(/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))))) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B) |
1 |
#s(literal 1 binary64) |
(/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))) |
(/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) |
B |
(- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))) |
(-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) |
C |
(+ A (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(+.f64 A (hypot.f64 B (-.f64 C A))) |
A |
(sqrt (+ (* B B) (* (- C A) (- C A)))) |
(hypot.f64 B (-.f64 C A)) |
(- C A) |
(-.f64 C A) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan -1) (/ 180 (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal -1 binary64))) (PI.f64)) |
(atan -1) |
(atan.f64 #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* 180 (/ (atan (/ (* B 1/2) A)) (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
180 |
#s(literal 180 binary64) |
(/ (atan (/ (* B 1/2) A)) (PI)) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/ (* B 1/2) A) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(PI) |
(PI.f64) |
(* (atan (* B (/ 1/2 (- A C)))) (/ 180 (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (-.f64 A C)))) |
(atan (* B (/ 1/2 (- A C)))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (-.f64 A C))) |
(* B (/ 1/2 (- A C))) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) (-.f64 A C)) |
B |
(/ 1/2 (- A C)) |
(/.f64 #s(literal -1/2 binary64) (-.f64 C A)) |
1/2 |
#s(literal 1/2 binary64) |
(- A C) |
(-.f64 A C) |
A |
C |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan (/ (* -1/2 (* B (/ B (- C A)))) B)) (/ 180 (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (-.f64 A C)))) |
(atan (/ (* -1/2 (* B (/ B (- C A)))) B)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) (-.f64 A C))) |
(/ (* -1/2 (* B (/ B (- C A)))) B) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) (-.f64 A C)) |
(* -1/2 (* B (/ B (- C A)))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 C A)) |
-1/2 |
#s(literal -1/2 binary64) |
(* B (/ B (- C A))) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
B |
(/ B (- C A)) |
(/.f64 B (-.f64 C A)) |
(- C A) |
(-.f64 C A) |
C |
A |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 B (/.f64 B (-.f64 C A))) |
| ✓ | accuracy | 99.8% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 81.2% | (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) |
| ✓ | accuracy | 99.8% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 99.8% | (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 99.9% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal -1 binary64)) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (+.f64 A (hypot.f64 B (-.f64 C A))) |
| ✓ | accuracy | 100.0% | (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A))))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A)))))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| 475.0ms | 95× | 5 | exit |
| 158.0ms | 161× | 0 | valid |
Compiled 260 to 37 computations (85.8% saved)
backward-pass: 74.0ms (31.1% of total)ival-div: 51.0ms (21.5% of total)ival-mult: 42.0ms (17.7% of total)compiled-spec: 35.0ms (14.7% of total)ival-atan: 13.0ms (5.5% of total)ival-sub: 11.0ms (4.6% of total)ival-add: 6.0ms (2.5% of total)ival-sqrt: 3.0ms (1.3% of total)const: 1.0ms (0.4% of total)ival-pi: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))> |
#<alt (* (atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) (/ 180 (PI)))> |
#<alt (atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))))))> |
#<alt (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))))> |
#<alt (* (atan -1) (/ 180 (PI)))> |
#<alt (atan -1)> |
#<alt (/ 180 (PI))> |
#<alt (PI)> |
#<alt (* 180 (/ (atan (/ (* B 1/2) A)) (PI)))> |
#<alt (/ (atan (/ (* B 1/2) A)) (PI))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (/ (* B 1/2) A)> |
#<alt (* (atan (* B (/ 1/2 (- A C)))) (/ 180 (PI)))> |
#<alt (atan (* B (/ 1/2 (- A C))))> |
#<alt (* B (/ 1/2 (- A C)))> |
#<alt (/ 1/2 (- A C))> |
#<alt (/ (* -1/2 (* B (/ B (- C A)))) B)> |
#<alt (* (atan (/ (* -1/2 (* B (/ B (- C A)))) B)) (/ 180 (PI)))> |
#<alt (atan (/ (* -1/2 (* B (/ B (- C A)))) B))> |
#<alt (* -1/2 (* B (/ B (- C A))))> |
#<alt (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))> |
#<alt (* B (/ B (- C A)))> |
| Outputs |
|---|
#<alt (* -1/2 (/ B (- C A)))> |
#<alt (* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt (* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B)))> |
#<alt 1> |
#<alt (- (+ 1 (/ C B)) (/ A B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B)))> |
#<alt (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))> |
#<alt (* -1 (/ (+ A (* -1 A)) B))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C)))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))))> |
#<alt (+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))))))> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B)))))> |
#<alt (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)> |
#<alt (- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2)))))> |
#<alt (* -2 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B)))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)))> |
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#<alt (* -1 (* B (+ 1 (* -1 (/ A B)))))> |
#<alt (* -1 (* B (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow (- C A) 2) B))) B)))))> |
#<alt (* -1 (* B (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B)))))> |
#<alt (+ A (sqrt (+ (pow A 2) (pow B 2))))> |
#<alt (+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))> |
#<alt (+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))))> |
#<alt (+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3)))))))))))> |
#<alt C> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (/ A C))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (pow B 2) (pow C 2))) (/ A C)))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (+ (* 1/2 (/ (pow B 2) (pow C 2))) (/ A C))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -2 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow B 2) C)) (* 2 A)) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)))))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (/ (pow B 2) (- C A))> |
#<alt (* -1 (/ (pow B 2) A))> |
#<alt (+ (* -1 (/ (* (pow B 2) C) (pow A 2))) (* -1 (/ (pow B 2) A)))> |
#<alt (+ (* -1 (/ (pow B 2) A)) (* C (- (* -1 (/ (* (pow B 2) C) (pow A 3))) (/ (pow B 2) (pow A 2)))))> |
#<alt (+ (* -1 (/ (pow B 2) A)) (* C (- (* C (- (* -1 (/ (* (pow B 2) C) (pow A 4))) (/ (pow B 2) (pow A 3)))) (/ (pow B 2) (pow A 2)))))> |
#<alt (/ (pow B 2) C)> |
#<alt (/ (+ (/ (* A (pow B 2)) C) (pow B 2)) C)> |
#<alt (/ (- (+ (/ (* (pow A 2) (pow B 2)) (pow C 2)) (pow B 2)) (* -1 (/ (* A (pow B 2)) C))) C)> |
#<alt (/ (- (+ (/ (* (pow A 3) (pow B 2)) (pow C 3)) (pow B 2)) (+ (* -1 (/ (* A (pow B 2)) C)) (* -1 (/ (* (pow A 2) (pow B 2)) (pow C 2))))) C)> |
#<alt (/ (pow B 2) C)> |
#<alt (* -1 (/ (+ (* -1 (/ (* A (pow B 2)) C)) (* -1 (pow B 2))) C))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* A (pow B 2)) (/ (* (pow A 2) (pow B 2)) C)) C)) (* -1 (pow B 2))) C))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* -1 (/ (* (pow A 3) (pow B 2)) C))) C)) (* A (pow B 2))) C)) (* -1 (pow B 2))) C))> |
#<alt (/ (pow B 2) C)> |
#<alt (+ (/ (* A (pow B 2)) (pow C 2)) (/ (pow B 2) C))> |
#<alt (+ (* A (- (/ (* A (pow B 2)) (pow C 3)) (* -1 (/ (pow B 2) (pow C 2))))) (/ (pow B 2) C))> |
#<alt (+ (* A (- (* A (- (/ (* A (pow B 2)) (pow C 4)) (* -1 (/ (pow B 2) (pow C 3))))) (* -1 (/ (pow B 2) (pow C 2))))) (/ (pow B 2) C))> |
#<alt (* -1 (/ (pow B 2) A))> |
#<alt (/ (+ (* -1 (/ (* (pow B 2) C) A)) (* -1 (pow B 2))) A)> |
#<alt (/ (- (+ (* -1 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* -1 (pow B 2))) (/ (* (pow B 2) C) A)) A)> |
#<alt (/ (- (+ (* -1 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* -1 (pow B 2))) (+ (/ (* (pow B 2) C) A) (/ (* (pow B 2) (pow C 2)) (pow A 2)))) A)> |
#<alt (* -1 (/ (pow B 2) A))> |
#<alt (* -1 (/ (+ (/ (* (pow B 2) C) A) (pow B 2)) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow B 2) (pow C 2)) A)) (* (pow B 2) C)) A)) (pow B 2)) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow B 2) (pow C 3)) A) (* -1 (* (pow B 2) (pow C 2)))) A)) (* (pow B 2) C)) A)) (pow B 2)) A))> |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | B | @ | inf | (* B (/ 1/2 (- A C))) |
| 6.0ms | C | @ | -inf | (* (atan (* B (/ 1/2 (- A C)))) (/ 180 (PI))) |
| 2.0ms | C | @ | 0 | (* B (/ 1/2 (- A C))) |
| 2.0ms | A | @ | 0 | (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))) |
| 2.0ms | C | @ | 0 | (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))) |
| 1× | batch-egg-rewrite |
| 4728× | /-lowering-/.f32 |
| 4728× | /-lowering-/.f64 |
| 3520× | *-lowering-*.f32 |
| 3520× | *-lowering-*.f64 |
| 1592× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 183 |
| 1 | 210 | 168 |
| 2 | 1657 | 165 |
| 0 | 8836 | 165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A)))))))) |
(* (atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) (/ 180 (PI))) |
(atan (/ 1 (/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))))) |
(/ B (- C (+ A (sqrt (+ (* B B) (* (- C A) (- C A))))))) |
(* (atan -1) (/ 180 (PI))) |
(atan -1) |
(/ 180 (PI)) |
(PI) |
(* 180 (/ (atan (/ (* B 1/2) A)) (PI))) |
(/ (atan (/ (* B 1/2) A)) (PI)) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* (atan (* B (/ 1/2 (- A C)))) (/ 180 (PI))) |
(atan (* B (/ 1/2 (- A C)))) |
(* B (/ 1/2 (- A C))) |
(/ 1/2 (- A C)) |
(/ (* -1/2 (* B (/ B (- C A)))) B) |
(* (atan (/ (* -1/2 (* B (/ B (- C A)))) B)) (/ 180 (PI))) |
(atan (/ (* -1/2 (* B (/ B (- C A)))) B)) |
(* -1/2 (* B (/ B (- C A)))) |
(+ A (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(* B (/ B (- C A))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) C) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))))) |
(+.f64 (*.f64 C (/.f64 #s(literal 1 binary64) B)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)) |
(-.f64 (/.f64 (-.f64 C A) B) (/.f64 (/.f64 (hypot.f64 B (-.f64 C A)) B) #s(literal 1 binary64))) |
(-.f64 (/.f64 C B) (/.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) B)) |
(-.f64 (/.f64 (/.f64 C B) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) B) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) B)) (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) (-.f64 #s(literal 0 binary64) B))) |
(-.f64 (/.f64 (/.f64 (*.f64 C (*.f64 C C)) (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) B) (/.f64 (/.f64 (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)) (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 C C) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))) B) (/.f64 (/.f64 (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))) B)) |
(-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B)) |
(-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))))) (/.f64 (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)) (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))))) |
(-.f64 (/.f64 (*.f64 C C) (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))) (/.f64 (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)) (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) |
(fma.f64 C (/.f64 #s(literal 1 binary64) B) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (-.f64 C A) (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 (hypot.f64 B (-.f64 C A)) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) C (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) (/.f64 #s(literal 1 binary64) B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) (-.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64))) (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))))) |
(/.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))) |
(/.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64))) (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)))) (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)))) (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)))) (neg.f64 (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)))) (neg.f64 (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))))) (neg.f64 (-.f64 #s(literal 0 binary64) B))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)))) (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (-.f64 C A)) (hypot.f64 B (-.f64 C A)))) (/.f64 B (/.f64 (-.f64 C A) B))) |
(/.f64 (-.f64 (*.f64 (-.f64 C A) B) (*.f64 B (hypot.f64 B (-.f64 C A)))) (*.f64 B B)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)) B) (*.f64 (-.f64 #s(literal 0 binary64) B) (hypot.f64 B (-.f64 C A)))) (*.f64 (-.f64 #s(literal 0 binary64) B) B)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 A (*.f64 A A))) B) (*.f64 (*.f64 B (+.f64 (*.f64 C C) (*.f64 A (+.f64 C A)))) (hypot.f64 B (-.f64 C A)))) (*.f64 (*.f64 B (+.f64 (*.f64 C C) (*.f64 A (+.f64 C A)))) B)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 C C) (*.f64 A A)) B) (*.f64 (*.f64 B (+.f64 C A)) (hypot.f64 B (-.f64 C A)))) (*.f64 (*.f64 B (+.f64 C A)) B)) |
(/.f64 (-.f64 (*.f64 C B) (*.f64 B (+.f64 A (hypot.f64 B (-.f64 C A))))) (*.f64 B B)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64))))) (neg.f64 (*.f64 B (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64))))) (neg.f64 (*.f64 B (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 C C) (*.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (*.f64 C C) (pow.f64 (+.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64))))) (neg.f64 (+.f64 (+.f64 C A) (hypot.f64 B (-.f64 C A))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) C) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) C) (*.f64 (/.f64 #s(literal 1 binary64) B) C)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A)))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) C) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 C (/.f64 #s(literal 1 binary64) B)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 C (/.f64 #s(literal 1 binary64) B)) (*.f64 C (/.f64 #s(literal 1 binary64) B))) (-.f64 (*.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B))) (*.f64 (*.f64 C (/.f64 #s(literal 1 binary64) B)) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 C A) B) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 B (-.f64 C A)) B) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (-.f64 C A) B)) (+.f64 (*.f64 (/.f64 (hypot.f64 B (-.f64 C A)) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)) (*.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B))))) |
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(/.f64 (-.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 A A)) (-.f64 (hypot.f64 B (-.f64 C A)) A)) |
(/.f64 (-.f64 (*.f64 (*.f64 A A) (-.f64 A (hypot.f64 B (-.f64 C A)))) (*.f64 (-.f64 A (hypot.f64 B (-.f64 C A))) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) (pow.f64 (-.f64 A (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 A (*.f64 A A)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 A A) (-.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 A (hypot.f64 B (-.f64 C A)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))) (neg.f64 (neg.f64 (-.f64 A (hypot.f64 B (-.f64 C A)))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 A A))) (neg.f64 (-.f64 (hypot.f64 B (-.f64 C A)) A))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 A A) (-.f64 A (hypot.f64 B (-.f64 C A)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (-.f64 A (hypot.f64 B (-.f64 C A)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 A A) (-.f64 A (hypot.f64 B (-.f64 C A)))) (/.f64 (*.f64 A A) (-.f64 A (hypot.f64 B (-.f64 C A))))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (-.f64 A (hypot.f64 B (-.f64 C A)))) (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (-.f64 A (hypot.f64 B (-.f64 C A))))) (*.f64 (/.f64 (*.f64 A A) (-.f64 A (hypot.f64 B (-.f64 C A)))) (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (-.f64 A (hypot.f64 B (-.f64 C A)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 A (hypot.f64 B (-.f64 C A)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 A (*.f64 A A)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 A A) (-.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 A (hypot.f64 B (-.f64 C A))))))) |
(*.f64 (-.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1 binary64) (-.f64 A (hypot.f64 B (-.f64 C A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 C A) (*.f64 B B)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 C A) B) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 C A) B) (*.f64 B #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)) (*.f64 B (-.f64 #s(literal 0 binary64) B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 C A) B) (*.f64 #s(literal 1 binary64) B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)) (*.f64 (-.f64 #s(literal 0 binary64) B) B))) |
(/.f64 B (/.f64 (-.f64 C A) B)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 C A) (*.f64 B B)))) |
(/.f64 (-.f64 #s(literal 0 binary64) B) (neg.f64 (/.f64 (-.f64 C A) B))) |
(/.f64 (neg.f64 (*.f64 B B)) (-.f64 #s(literal 0 binary64) (-.f64 C A))) |
(/.f64 (*.f64 B #s(literal 1 binary64)) (/.f64 (-.f64 C A) B)) |
(/.f64 (*.f64 B (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) (-.f64 C A))) |
(/.f64 (*.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 C A) B)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) B) B) (-.f64 #s(literal 0 binary64) (-.f64 C A))) |
(/.f64 (neg.f64 (*.f64 B #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 C A) B))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 B B))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)))) |
(/.f64 (neg.f64 (*.f64 B (-.f64 #s(literal 0 binary64) B))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) B)) (neg.f64 (/.f64 (-.f64 C A) B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) B) B)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)))) |
(pow.f64 (/.f64 (-.f64 C A) (*.f64 B B)) #s(literal -1 binary64)) |
(*.f64 B (/.f64 B (-.f64 C A))) |
(*.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (-.f64 C A))) |
(*.f64 (/.f64 B (-.f64 C A)) B) |
(*.f64 (/.f64 B (-.f64 C A)) (/.f64 B #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 C A)) (/.f64 B (/.f64 #s(literal 1 binary64) B))) |
(*.f64 (/.f64 B #s(literal 1 binary64)) (/.f64 B (-.f64 C A))) |
(*.f64 (/.f64 (*.f64 B B) (-.f64 (*.f64 C (*.f64 C C)) (*.f64 A (*.f64 A A)))) (+.f64 (*.f64 C C) (*.f64 A (+.f64 C A)))) |
(*.f64 (/.f64 (*.f64 B B) (-.f64 (*.f64 C C) (*.f64 A A))) (+.f64 C A)) |
(*.f64 (/.f64 B (-.f64 (*.f64 C (*.f64 C C)) (*.f64 A (*.f64 A A)))) (/.f64 B (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 C C) (*.f64 A (+.f64 C A)))))) |
(*.f64 (/.f64 B (-.f64 (*.f64 C C) (*.f64 A A))) (/.f64 B (/.f64 #s(literal 1 binary64) (+.f64 C A)))) |
(*.f64 (/.f64 B #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) B) (-.f64 C A))) |
| 1× | egg-herbie |
| 6198× | *-lowering-*.f32 |
| 6198× | *-lowering-*.f64 |
| 4108× | +-lowering-+.f64 |
| 4108× | +-lowering-+.f32 |
| 1820× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1200 | 9778 |
| 1 | 3987 | 8335 |
| 0 | 8768 | 8335 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ B (- C A))) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
(- (/ C B) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(* -1 (/ (+ A (* -1 A)) B)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* -1 (/ (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1 (/ (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) B)) (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B)))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
(* -2 (/ (- C A) B)) |
(/ (+ (* -2 (- C A)) (* -1/2 (/ (pow B 2) (- C A)))) B) |
(/ (+ (* -2 (- C A)) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) B) |
(/ (+ (* -2 (- C A)) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) B) |
-1 |
(- (/ A B) (+ 1 (/ C B))) |
(- (+ (* -1 (/ (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- C A) 2))) (pow B 2))) (/ A B)) (+ 1 (/ C B))) |
(- (+ (* -1 (/ (+ (* 1/2 (* (- A C) (pow (- C A) 2))) (* (+ (* -1 (* (- A C) (- C A))) (* -1/2 (pow (- C A) 2))) (- C A))) (pow B 3))) (/ A B)) (+ 1 (+ (* -1 (/ (* (- A C) (- C A)) (pow B 2))) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B))))) |
1 |
(+ 1 (* -1 (/ (- C A) B))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- C A) 2) B)) (* 1/2 (/ (pow (- C A) 2) B))) (* -1 (- C A))) B))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (pow (- C A) 3) B)) (/ (* (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- C A) 2))) (- C A)) B)) (+ (* -1 (pow (- C A) 2)) (* 1/2 (pow (- C A) 2)))) B)) (* -1 (- C A))) B))) |
(* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) |
(+ (* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) (* -1 (/ (* B (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)))) |
(+ (* -1 (/ B (+ A (sqrt (+ (pow A 2) (pow B 2)))))) (* C (- (* -1 (* C (+ (* -1/2 (* (/ (* B (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2)) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ (* B (pow (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) 2)) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 3))))) (/ (* B (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (pow (+ A (sqrt (+ (pow A 2) (pow B 2)))) 2))))) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (pow C 3) A)) (* 1/2 (pow C 2))) A)) (* -1/2 C)) A)) 1/2) A)) |
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(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* -1/2 (/ (pow B 2) (- C A))) |
(* 1/2 (/ (pow B 2) A)) |
(+ (* 1/2 (/ (* (pow B 2) C) (pow A 2))) (* 1/2 (/ (pow B 2) A))) |
(+ (* 1/2 (/ (pow B 2) A)) (* C (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(+ (* 1/2 (/ (pow B 2) A)) (* C (+ (* 1/2 (/ (pow B 2) (pow A 2))) (* C (+ (* 1/2 (/ (* (pow B 2) C) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 3)))))))) |
(* -1/2 (/ (pow B 2) C)) |
(/ (+ (* -1/2 (/ (* A (pow B 2)) C)) (* -1/2 (pow B 2))) C) |
(/ (+ (* -1/2 (/ (* A (pow B 2)) C)) (+ (* -1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (* -1/2 (pow B 2)))) C) |
(/ (+ (* -1/2 (/ (* A (pow B 2)) C)) (+ (* -1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (+ (* -1/2 (/ (* (pow A 3) (pow B 2)) (pow C 3))) (* -1/2 (pow B 2))))) C) |
(* -1/2 (/ (pow B 2) C)) |
(* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A (pow B 2))) (* -1/2 (/ (* (pow A 2) (pow B 2)) C))) C)) (* 1/2 (pow B 2))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) (pow B 2))) (* 1/2 (/ (* (pow A 3) (pow B 2)) C))) C)) (* -1/2 (* A (pow B 2)))) C)) (* 1/2 (pow B 2))) C)) |
(* -1/2 (/ (pow B 2) C)) |
(+ (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (* -1/2 (/ (pow B 2) C))) |
(+ (* -1/2 (/ (pow B 2) C)) (* A (+ (* -1/2 (/ (* A (pow B 2)) (pow C 3))) (* -1/2 (/ (pow B 2) (pow C 2)))))) |
(+ (* -1/2 (/ (pow B 2) C)) (* A (+ (* -1/2 (/ (pow B 2) (pow C 2))) (* A (+ (* -1/2 (/ (* A (pow B 2)) (pow C 4))) (* -1/2 (/ (pow B 2) (pow C 3)))))))) |
(* 1/2 (/ (pow B 2) A)) |
(/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A) |
(/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (+ (* 1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* 1/2 (pow B 2)))) A) |
(/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (+ (* 1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (+ (* 1/2 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* 1/2 (pow B 2))))) A) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (* -1/2 (pow B 2))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow B 2) C)) (* 1/2 (/ (* (pow B 2) (pow C 2)) A))) A)) (* -1/2 (pow B 2))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow B 2) (pow C 2))) (* -1/2 (/ (* (pow B 2) (pow C 3)) A))) A)) (* 1/2 (* (pow B 2) C))) A)) (* -1/2 (pow B 2))) A)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ 1 (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* A (+ 1 (+ (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* A (+ (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))))))))) |
(* 2 A) |
(* A (+ 2 (* -1 (/ C A)))) |
(* A (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (+ 2 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
C |
(+ C (* -1/2 (/ (pow B 2) A))) |
(+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) |
(+ C (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow B 2) C)) (* 1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A))) A)) (* 1/2 (pow B 2))) A))) |
C |
(+ C (* 1/2 (/ (pow B 2) (- C A)))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) |
B |
(* B (+ 1 (/ A B))) |
(* B (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* -1 (/ A B))))) |
(* -1 (* B (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow (- C A) 2) B))) B))))) |
(* -1 (* B (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))))) |
(+ A (sqrt (+ (pow A 2) (pow B 2)))) |
(+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) |
(+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))) |
(+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))))))))) |
C |
(* C (+ 1 (+ (* -1 (/ A C)) (/ A C)))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (pow B 2) (pow C 2))) (/ A C))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (+ (* 1/2 (/ (pow B 2) (pow C 2))) (/ A C)))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* -2 (/ A C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow B 2) C)) (* 2 A)) C))))) |
(* -1 (* C (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C))))) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(/ (pow B 2) (- C A)) |
(* -1 (/ (pow B 2) A)) |
(+ (* -1 (/ (* (pow B 2) C) (pow A 2))) (* -1 (/ (pow B 2) A))) |
(+ (* -1 (/ (pow B 2) A)) (* C (- (* -1 (/ (* (pow B 2) C) (pow A 3))) (/ (pow B 2) (pow A 2))))) |
(+ (* -1 (/ (pow B 2) A)) (* C (- (* C (- (* -1 (/ (* (pow B 2) C) (pow A 4))) (/ (pow B 2) (pow A 3)))) (/ (pow B 2) (pow A 2))))) |
(/ (pow B 2) C) |
(/ (+ (/ (* A (pow B 2)) C) (pow B 2)) C) |
(/ (- (+ (/ (* (pow A 2) (pow B 2)) (pow C 2)) (pow B 2)) (* -1 (/ (* A (pow B 2)) C))) C) |
(/ (- (+ (/ (* (pow A 3) (pow B 2)) (pow C 3)) (pow B 2)) (+ (* -1 (/ (* A (pow B 2)) C)) (* -1 (/ (* (pow A 2) (pow B 2)) (pow C 2))))) C) |
(/ (pow B 2) C) |
(* -1 (/ (+ (* -1 (/ (* A (pow B 2)) C)) (* -1 (pow B 2))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* A (pow B 2)) (/ (* (pow A 2) (pow B 2)) C)) C)) (* -1 (pow B 2))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* -1 (/ (* (pow A 3) (pow B 2)) C))) C)) (* A (pow B 2))) C)) (* -1 (pow B 2))) C)) |
(/ (pow B 2) C) |
(+ (/ (* A (pow B 2)) (pow C 2)) (/ (pow B 2) C)) |
(+ (* A (- (/ (* A (pow B 2)) (pow C 3)) (* -1 (/ (pow B 2) (pow C 2))))) (/ (pow B 2) C)) |
(+ (* A (- (* A (- (/ (* A (pow B 2)) (pow C 4)) (* -1 (/ (pow B 2) (pow C 3))))) (* -1 (/ (pow B 2) (pow C 2))))) (/ (pow B 2) C)) |
(* -1 (/ (pow B 2) A)) |
(/ (+ (* -1 (/ (* (pow B 2) C) A)) (* -1 (pow B 2))) A) |
(/ (- (+ (* -1 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* -1 (pow B 2))) (/ (* (pow B 2) C) A)) A) |
(/ (- (+ (* -1 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* -1 (pow B 2))) (+ (/ (* (pow B 2) C) A) (/ (* (pow B 2) (pow C 2)) (pow A 2)))) A) |
(* -1 (/ (pow B 2) A)) |
(* -1 (/ (+ (/ (* (pow B 2) C) A) (pow B 2)) A)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow B 2) (pow C 2)) A)) (* (pow B 2) C)) A)) (pow B 2)) A)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow B 2) (pow C 3)) A) (* -1 (* (pow B 2) (pow C 2)))) A)) (* (pow B 2) C)) A)) (pow B 2)) A)) |
| Outputs |
|---|
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) B) (-.f64 C A)) |
(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 C A)) (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (+.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 B B)) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(*.f64 B (+.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 #s(literal 5/128 binary64) (*.f64 B B)) (pow.f64 (-.f64 C A) #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 C A) #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(-.f64 (/.f64 C B) (+.f64 #s(literal 1 binary64) (/.f64 A B))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (/.f64 #s(literal -1/2 binary64) B)) (-.f64 (/.f64 C B) (+.f64 #s(literal 1 binary64) (/.f64 A B)))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (/.f64 #s(literal -1/2 binary64) B)) (-.f64 (+.f64 (/.f64 C B) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 A B)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ C B)) (/ A B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1/2 (/ (pow (- C A) 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B)) (-.f64 C A)) B)) |
(+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 C A)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)))) B)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(/.f64 (+.f64 A (hypot.f64 B A)) (-.f64 #s(literal 0 binary64) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(-.f64 (*.f64 C (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A))))))) (/.f64 (+.f64 A (hypot.f64 B A)) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(-.f64 (*.f64 C (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A)))))) B)) (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))))))) (/.f64 (+.f64 A (hypot.f64 B A)) B)) |
(+ (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(-.f64 (*.f64 C (+.f64 (*.f64 C (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (*.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (+.f64 (*.f64 B B) (*.f64 A A))))))) B) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) B)))) (+.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 A B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))))))) (/.f64 (+.f64 A (hypot.f64 B A)) B)) |
(* -1 (/ (+ A (* -1 A)) B)) |
(/.f64 #s(literal 0 binary64) B) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (* -1/2 (/ B C))) |
(+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2))))) |
(+.f64 (/.f64 #s(literal 0 binary64) B) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B C) (/.f64 (*.f64 B A) (*.f64 C C))))) |
(+ (* -1 (/ (+ A (* -1 A)) B)) (+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3))))))) |
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(+.f64 C (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (-.f64 C A))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) |
(+.f64 C (*.f64 (*.f64 B B) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 C A) (-.f64 C A))) (/.f64 (*.f64 B B) (-.f64 C A)))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) |
(+.f64 C (*.f64 (*.f64 B B) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 B B)) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))))))) |
B |
(* B (+ 1 (/ A B))) |
(*.f64 B (+.f64 #s(literal 1 binary64) (/.f64 A B))) |
(* B (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(*.f64 B (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 A B) (*.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (/.f64 #s(literal 1/2 binary64) B))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) (+.f64 (/.f64 A B) (*.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) (/.f64 #s(literal 1/2 binary64) B))))) |
(* -1 B) |
(-.f64 #s(literal 0 binary64) B) |
(* -1 (* B (+ 1 (* -1 (/ A B))))) |
(*.f64 (-.f64 #s(literal 0 binary64) B) (-.f64 #s(literal 1 binary64) (/.f64 A B))) |
(* -1 (* B (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow (- C A) 2) B))) B))))) |
(*.f64 (-.f64 #s(literal 0 binary64) B) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 A (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B))) B))) |
(* -1 (* B (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))))) |
(*.f64 (-.f64 #s(literal 0 binary64) B) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)))) B)) B))) |
(+ A (sqrt (+ (pow A 2) (pow B 2)))) |
(+.f64 A (hypot.f64 B A)) |
(+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) |
(+.f64 A (-.f64 (hypot.f64 B A) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (*.f64 C A)))) |
(+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))))) |
(+.f64 (+.f64 A (hypot.f64 B A)) (*.f64 C (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))))) (*.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))))))) |
(+ A (+ (sqrt (+ (pow A 2) (pow B 2))) (* C (+ (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (* C (+ (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (* 1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))))))))) |
(+.f64 (+.f64 A (hypot.f64 B A)) (*.f64 C (-.f64 (*.f64 C (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) (*.f64 (*.f64 (*.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (+.f64 (*.f64 B B) (*.f64 A A))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (*.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (+.f64 (*.f64 B B) (*.f64 A A)))))))))) (*.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 A A)))))))) |
C |
(* C (+ 1 (+ (* -1 (/ A C)) (/ A C)))) |
C |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (pow B 2) (pow C 2))) (/ A C))))) |
(*.f64 C (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 A C)) (+.f64 (/.f64 A C) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C))))) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (+ (* 1/2 (/ (pow B 2) (pow C 2))) (/ A C)))))) |
(*.f64 C (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 A C)) (+.f64 (+.f64 (/.f64 A C) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C))))))) |
(* -1 C) |
(-.f64 #s(literal 0 binary64) C) |
(* -1 (* C (+ 1 (* -2 (/ A C))))) |
(*.f64 (-.f64 #s(literal 0 binary64) C) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) A) C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow B 2) C)) (* 2 A)) C))))) |
(*.f64 (-.f64 #s(literal 0 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) C) (*.f64 A #s(literal 2 binary64))) C))) |
(* -1 (* C (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C))))) |
(*.f64 (-.f64 #s(literal 0 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 A #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 B B) (/.f64 (*.f64 A (*.f64 B B)) C))) C)) C))) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(/ (pow B 2) (- C A)) |
(/.f64 (*.f64 B B) (-.f64 C A)) |
(* -1 (/ (pow B 2) A)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 B B) A)) |
(+ (* -1 (/ (* (pow B 2) C) (pow A 2))) (* -1 (/ (pow B 2) A))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 B B) A)) (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A A))) |
(+ (* -1 (/ (pow B 2) A)) (* C (- (* -1 (/ (* (pow B 2) C) (pow A 3))) (/ (pow B 2) (pow A 2))))) |
(-.f64 (*.f64 C (-.f64 (/.f64 (*.f64 C (-.f64 #s(literal 0 binary64) (*.f64 B B))) (*.f64 A (*.f64 A A))) (/.f64 (*.f64 B B) (*.f64 A A)))) (/.f64 (*.f64 B B) A)) |
(+ (* -1 (/ (pow B 2) A)) (* C (- (* C (- (* -1 (/ (* (pow B 2) C) (pow A 4))) (/ (pow B 2) (pow A 3)))) (/ (pow B 2) (pow A 2))))) |
(-.f64 (*.f64 C (-.f64 (*.f64 C (-.f64 (/.f64 (*.f64 C (*.f64 B B)) (neg.f64 (pow.f64 A #s(literal 4 binary64)))) (/.f64 (*.f64 B B) (*.f64 A (*.f64 A A))))) (/.f64 (*.f64 B B) (*.f64 A A)))) (/.f64 (*.f64 B B) A)) |
(/ (pow B 2) C) |
(/.f64 (*.f64 B B) C) |
(/ (+ (/ (* A (pow B 2)) C) (pow B 2)) C) |
(/.f64 (+.f64 (*.f64 B B) (/.f64 (*.f64 A (*.f64 B B)) C)) C) |
(/ (- (+ (/ (* (pow A 2) (pow B 2)) (pow C 2)) (pow B 2)) (* -1 (/ (* A (pow B 2)) C))) C) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 B B) (*.f64 A A)) (*.f64 C C)) (+.f64 (*.f64 B B) (/.f64 (*.f64 A (*.f64 B B)) C))) C) |
(/ (- (+ (/ (* (pow A 3) (pow B 2)) (pow C 3)) (pow B 2)) (+ (* -1 (/ (* A (pow B 2)) C)) (* -1 (/ (* (pow A 2) (pow B 2)) (pow C 2))))) C) |
(/.f64 (-.f64 (+.f64 (*.f64 B B) (/.f64 (*.f64 (*.f64 B B) (*.f64 A (*.f64 A A))) (*.f64 C (*.f64 C C)))) (-.f64 (/.f64 (*.f64 A (*.f64 B B)) (-.f64 #s(literal 0 binary64) C)) (/.f64 (*.f64 (*.f64 B B) (*.f64 A A)) (*.f64 C C)))) C) |
(/ (pow B 2) C) |
(/.f64 (*.f64 B B) C) |
(* -1 (/ (+ (* -1 (/ (* A (pow B 2)) C)) (* -1 (pow B 2))) C)) |
(/.f64 (-.f64 (/.f64 (*.f64 A (*.f64 B B)) (-.f64 #s(literal 0 binary64) C)) (*.f64 B B)) (-.f64 #s(literal 0 binary64) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* A (pow B 2)) (/ (* (pow A 2) (pow B 2)) C)) C)) (* -1 (pow B 2))) C)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (/.f64 (+.f64 (*.f64 A (*.f64 B B)) (/.f64 (*.f64 (*.f64 B B) (*.f64 A A)) C)) C)) (-.f64 #s(literal 0 binary64) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* -1 (/ (* (pow A 3) (pow B 2)) C))) C)) (* A (pow B 2))) C)) (* -1 (pow B 2))) C)) |
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 A (*.f64 B B)) (/.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 #s(literal -1 binary64) (*.f64 A A))) (*.f64 (*.f64 A (*.f64 A A)) (/.f64 (*.f64 B B) C))) C)) (-.f64 #s(literal 0 binary64) C)) (*.f64 B B)) (-.f64 #s(literal 0 binary64) C)) |
(/ (pow B 2) C) |
(/.f64 (*.f64 B B) C) |
(+ (/ (* A (pow B 2)) (pow C 2)) (/ (pow B 2) C)) |
(+.f64 (/.f64 (*.f64 B B) C) (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C C))) |
(+ (* A (- (/ (* A (pow B 2)) (pow C 3)) (* -1 (/ (pow B 2) (pow C 2))))) (/ (pow B 2) C)) |
(+.f64 (/.f64 (*.f64 B B) C) (*.f64 A (+.f64 (/.f64 (*.f64 A (*.f64 B B)) (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C))))) |
(+ (* A (- (* A (- (/ (* A (pow B 2)) (pow C 4)) (* -1 (/ (pow B 2) (pow C 3))))) (* -1 (/ (pow B 2) (pow C 2))))) (/ (pow B 2) C)) |
(+.f64 (/.f64 (*.f64 B B) C) (*.f64 A (+.f64 (*.f64 A (+.f64 (/.f64 (*.f64 A (*.f64 B B)) (pow.f64 C #s(literal 4 binary64))) (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))))) (/.f64 (*.f64 B B) (*.f64 C C))))) |
(* -1 (/ (pow B 2) A)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 B B) A)) |
(/ (+ (* -1 (/ (* (pow B 2) C) A)) (* -1 (pow B 2))) A) |
(/.f64 (+.f64 (*.f64 B B) (/.f64 (*.f64 C (*.f64 B B)) A)) (-.f64 #s(literal 0 binary64) A)) |
(/ (- (+ (* -1 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* -1 (pow B 2))) (/ (* (pow B 2) C) A)) A) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (/.f64 (*.f64 (*.f64 B B) (*.f64 C C)) (*.f64 A A))) (/.f64 (*.f64 C (*.f64 B B)) A)) A) |
(/ (- (+ (* -1 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* -1 (pow B 2))) (+ (/ (* (pow B 2) C) A) (/ (* (pow B 2) (pow C 2)) (pow A 2)))) A) |
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (*.f64 (/.f64 (*.f64 C (*.f64 C C)) A) (/.f64 (*.f64 B B) (*.f64 A A)))) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) A) (/.f64 (*.f64 (*.f64 B B) (*.f64 C C)) (*.f64 A A)))) A) |
(* -1 (/ (pow B 2) A)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 B B) A)) |
(* -1 (/ (+ (/ (* (pow B 2) C) A) (pow B 2)) A)) |
(/.f64 (+.f64 (*.f64 B B) (/.f64 (*.f64 C (*.f64 B B)) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow B 2) (pow C 2)) A)) (* (pow B 2) C)) A)) (pow B 2)) A)) |
(/.f64 (-.f64 (*.f64 B B) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 B B) (*.f64 C C)) (-.f64 #s(literal 0 binary64) A)) (*.f64 C (*.f64 B B))) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow B 2) (pow C 3)) A) (* -1 (* (pow B 2) (pow C 2)))) A)) (* (pow B 2) C)) A)) (pow B 2)) A)) |
(/.f64 (-.f64 (*.f64 B B) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (*.f64 B B) (/.f64 (*.f64 C (*.f64 C C)) A)) (*.f64 (*.f64 B B) (*.f64 C C))) A)) (*.f64 C (*.f64 B B))) A)) (-.f64 #s(literal 0 binary64) A)) |
Compiled 30214 to 4249 computations (85.9% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1509 | 14 | 1523 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1515 | 27 | 1542 |
| Status | Accuracy | Program |
|---|---|---|
| 39.9% | (/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 28.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| ▶ | 40.2% | (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
| 28.4% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) | |
| 39.7% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))))) | |
| 40.2% | (*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) | |
| 40.2% | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) #s(literal 1/180 binary64))) | |
| 61.2% | (*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 34.6% | (*.f64 (atan.f64 (/.f64 (*.f64 (/.f64 B (-.f64 C A)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 28.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 26.4% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 23.5% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 34.5% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) (-.f64 C A))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 41.9% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 14.8% | (*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 63.0% | (*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 29.7% | (*.f64 (atan.f64 (+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 50.0% | (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 28.1% | (*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ✓ | 40.2% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 26.4% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 19.7% | (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 18.3% | (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ▶ | 38.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64))) |
| ✓ | 28.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 27.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) | |
| 48.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
Compiled 837 to 656 computations (21.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 A C) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 B #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B)) |
| ✓ | cost-diff | 0 | (atan.f64 (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B))) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 2064× | *-lowering-*.f32 |
| 2064× | *-lowering-*.f64 |
| 1632× | sum3-define |
| 1446× | +-lowering-+.f64 |
| 1446× | +-lowering-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 284 |
| 1 | 89 | 275 |
| 2 | 158 | 269 |
| 3 | 303 | 269 |
| 4 | 724 | 269 |
| 5 | 2224 | 269 |
| 6 | 5480 | 269 |
| 0 | 8165 | 269 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI))) |
(atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) |
(- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B)) |
(/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
(- C (sqrt (+ (* B B) (* (- C A) (- C A))))) |
C |
(sqrt (+ (* B B) (* (- C A) (- C A)))) |
B |
(- C A) |
A |
(/ A B) |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan 1) (/ 180 (PI))) |
(atan 1) |
1 |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan (/ (* B 1/2) A)) (/ 180 (PI))) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(/ 180 (PI)) |
180 |
(PI) |
(/ (atan (/ B (/ (- A C) 1/2))) (/ (PI) 180)) |
(atan (/ B (/ (- A C) 1/2))) |
(/ B (/ (- A C) 1/2)) |
B |
(/ (- A C) 1/2) |
(- A C) |
A |
C |
1/2 |
(/ (PI) 180) |
(PI) |
180 |
(* 180 (/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI))) |
180 |
(/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI)) |
(atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) |
(/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B) |
(+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) |
(* 2 (- C A)) |
2 |
(- C A) |
C |
A |
(/ (* (* B B) -1/2) (- A C)) |
(* (* B B) -1/2) |
(* B B) |
B |
-1/2 |
(- A C) |
(PI) |
| Outputs |
|---|
(* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI))) |
(*.f64 (atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) B) (+.f64 (-.f64 (hypot.f64 B (-.f64 C A)) C) A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) |
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) B) (+.f64 (-.f64 (hypot.f64 B (-.f64 C A)) C) A))) |
(- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B)) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (+.f64 (-.f64 (hypot.f64 B (-.f64 C A)) C) A)) |
(/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
(/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) |
(- C (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(-.f64 C (hypot.f64 B (-.f64 C A))) |
C |
(sqrt (+ (* B B) (* (- C A) (- C A)))) |
(hypot.f64 B (-.f64 C A)) |
B |
(- C A) |
(-.f64 C A) |
A |
(/ A B) |
(/.f64 A B) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan 1) (/ 180 (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(atan 1) |
(atan.f64 #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan (/ (* B 1/2) A)) (/ 180 (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/ (* B 1/2) A) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(/ (atan (/ B (/ (- A C) 1/2))) (/ (PI) 180)) |
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 C A) #s(literal -1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(atan (/ B (/ (- A C) 1/2))) |
(atan.f64 (/.f64 B (/.f64 (-.f64 C A) #s(literal -1/2 binary64)))) |
(/ B (/ (- A C) 1/2)) |
(/.f64 B (/.f64 (-.f64 C A) #s(literal -1/2 binary64))) |
B |
(/ (- A C) 1/2) |
(/.f64 (-.f64 C A) #s(literal -1/2 binary64)) |
(- A C) |
(-.f64 A C) |
A |
C |
1/2 |
#s(literal 1/2 binary64) |
(/ (PI) 180) |
(/.f64 (PI.f64) #s(literal 180 binary64)) |
(PI) |
(PI.f64) |
180 |
#s(literal 180 binary64) |
(* 180 (/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (+.f64 (/.f64 (-.f64 C A) #s(literal 1/2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) B))) |
180 |
#s(literal 180 binary64) |
(/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (+.f64 (/.f64 (-.f64 C A) #s(literal 1/2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) B)) (PI.f64)) |
(atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) |
(atan.f64 (/.f64 (+.f64 (/.f64 (-.f64 C A) #s(literal 1/2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) B)) |
(/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B) |
(/.f64 (+.f64 (/.f64 (-.f64 C A) #s(literal 1/2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) B) |
(+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) |
(+.f64 (/.f64 (-.f64 C A) #s(literal 1/2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) |
(* 2 (- C A)) |
(/.f64 (-.f64 C A) #s(literal 1/2 binary64)) |
2 |
#s(literal 2 binary64) |
(- C A) |
(-.f64 C A) |
C |
A |
(/ (* (* B B) -1/2) (- A C)) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* (* B B) -1/2) |
(*.f64 B (*.f64 B #s(literal -1/2 binary64))) |
(* B B) |
(*.f64 B B) |
B |
-1/2 |
#s(literal -1/2 binary64) |
(- A C) |
(-.f64 A C) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64)) |
| ✓ | accuracy | 94.9% | (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C)) |
| ✓ | accuracy | 87.8% | (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 B #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 99.8% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| ✓ | accuracy | 100.0% | (-.f64 C (hypot.f64 B (-.f64 C A))) |
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 98.4% | (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B)) |
| ✓ | accuracy | 64.1% | (PI.f64) |
| 590.0ms | 95× | 5 | exit |
| 140.0ms | 161× | 0 | valid |
Compiled 301 to 40 computations (86.7% saved)
backward-pass: 110.0ms (37.1% of total)ival-mult: 50.0ms (16.8% of total)ival-div: 38.0ms (12.8% of total)ival-atan: 37.0ms (12.5% of total)compiled-spec: 35.0ms (11.8% of total)ival-sub: 16.0ms (5.4% of total)ival-add: 5.0ms (1.7% of total)ival-sqrt: 3.0ms (1% of total)const: 1.0ms (0.3% of total)ival-pi: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI)))> |
#<alt (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B)))> |
#<alt (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))> |
#<alt (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B)> |
#<alt (* (atan 1) (/ 180 (PI)))> |
#<alt (atan 1)> |
#<alt (/ 180 (PI))> |
#<alt (PI)> |
#<alt (* (atan (/ (* B 1/2) A)) (/ 180 (PI)))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (/ (* B 1/2) A)> |
#<alt (* B 1/2)> |
#<alt (/ (atan (/ B (/ (- A C) 1/2))) (/ (PI) 180))> |
#<alt (atan (/ B (/ (- A C) 1/2)))> |
#<alt (/ B (/ (- A C) 1/2))> |
#<alt (/ (- A C) 1/2)> |
#<alt (* 180 (/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI)))> |
#<alt (/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI))> |
#<alt (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B))> |
#<alt (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)> |
#<alt (- C (sqrt (+ (* B B) (* (- C A) (- C A)))))> |
#<alt (/ (* (* B B) -1/2) (- A C))> |
| Outputs |
|---|
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI)))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B)))> |
#<alt (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B)))> |
#<alt (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B)))> |
#<alt (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B)))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
#<alt (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B))))> |
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#<alt A> |
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#<alt (* 2 C)> |
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#<alt A> |
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#<alt (* -1 B)> |
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#<alt B> |
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#<alt (- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (sqrt (+ (pow B 2) (pow C 2))))> |
#<alt (* -1 A)> |
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#<alt (* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 1 (* -1 (/ C A)))))> |
#<alt (* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt A> |
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#<alt (* -1 (* A (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) (pow A 3))) (+ 1 (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* -1/2 (/ (pow B 2) (- A C)))> |
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#<alt (* -1/2 (/ (pow B 2) (- A C)))> |
#<alt (* -1/2 (/ (pow B 2) (- A C)))> |
#<alt (* -1/2 (/ (pow B 2) (- A C)))> |
#<alt (* -1/2 (/ (pow B 2) (- A C)))> |
#<alt (* 1/2 (/ (pow B 2) C))> |
#<alt (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C)))> |
#<alt (+ (* 1/2 (/ (pow B 2) C)) (* A (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (+ (* 1/2 (/ (pow B 2) C)) (* A (+ (* 1/2 (/ (pow B 2) (pow C 2))) (* A (+ (* 1/2 (/ (* A (pow B 2)) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 3))))))))> |
#<alt (* -1/2 (/ (pow B 2) A))> |
#<alt (/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (* -1/2 (pow B 2))) A)> |
#<alt (/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (+ (* -1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* -1/2 (pow B 2)))) A)> |
#<alt (/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (+ (* -1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (+ (* -1/2 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* -1/2 (pow B 2))))) A)> |
#<alt (* -1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow B 2) C)) (* -1/2 (/ (* (pow B 2) (pow C 2)) A))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow B 2) (pow C 2))) (* 1/2 (/ (* (pow B 2) (pow C 3)) A))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A))> |
#<alt (* -1/2 (/ (pow B 2) A))> |
#<alt (+ (* -1/2 (/ (* (pow B 2) C) (pow A 2))) (* -1/2 (/ (pow B 2) A)))> |
#<alt (+ (* -1/2 (/ (pow B 2) A)) (* C (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (* -1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (+ (* -1/2 (/ (pow B 2) A)) (* C (+ (* -1/2 (/ (pow B 2) (pow A 2))) (* C (+ (* -1/2 (/ (* (pow B 2) C) (pow A 4))) (* -1/2 (/ (pow B 2) (pow A 3))))))))> |
#<alt (* 1/2 (/ (pow B 2) C))> |
#<alt (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)> |
#<alt (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (+ (* 1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (* 1/2 (pow B 2)))) C)> |
#<alt (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (+ (* 1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (+ (* 1/2 (/ (* (pow A 3) (pow B 2)) (pow C 3))) (* 1/2 (pow B 2))))) C)> |
#<alt (* 1/2 (/ (pow B 2) C))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* A (pow B 2)) C)) (* -1/2 (pow B 2))) C))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* A (pow B 2))) (* 1/2 (/ (* (pow A 2) (pow B 2)) C))) C)) (* -1/2 (pow B 2))) C))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow A 2) (pow B 2))) (* -1/2 (/ (* (pow A 3) (pow B 2)) C))) C)) (* 1/2 (* A (pow B 2)))) C)) (* -1/2 (pow B 2))) C))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | C | @ | 0 | (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B) |
| 9.0ms | A | @ | -inf | (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B)) |
| 1.0ms | A | @ | -inf | (* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI))) |
| 1.0ms | B | @ | inf | (* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI))) |
| 1.0ms | C | @ | -inf | (* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI))) |
| 1× | batch-egg-rewrite |
| 5340× | *-lowering-*.f32 |
| 5340× | *-lowering-*.f64 |
| 3514× | /-lowering-/.f32 |
| 3514× | /-lowering-/.f64 |
| 2208× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 200 |
| 1 | 247 | 190 |
| 2 | 2210 | 185 |
| 0 | 10173 | 185 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) (/ 180 (PI))) |
(atan (- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B))) |
(- (/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) (/ A B)) |
(/ (- C (sqrt (+ (* B B) (* (- C A) (- C A))))) B) |
(* (atan 1) (/ 180 (PI))) |
(atan 1) |
(/ 180 (PI)) |
(PI) |
(* (atan (/ (* B 1/2) A)) (/ 180 (PI))) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
(/ (atan (/ B (/ (- A C) 1/2))) (/ (PI) 180)) |
(atan (/ B (/ (- A C) 1/2))) |
(/ B (/ (- A C) 1/2)) |
(/ (- A C) 1/2) |
(* 180 (/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI))) |
(/ (atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) (PI)) |
(atan (/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B)) |
(/ (+ (* 2 (- C A)) (/ (* (* B B) -1/2) (- A C))) B) |
(- C (sqrt (+ (* B B) (* (- C A) (- C A))))) |
(/ (* (* B B) -1/2) (- A C)) |
| Outputs |
|---|
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64)))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 1 binary64)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal -180 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64)) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64))) #s(literal -1 binary64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 180 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B)) |
(+.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (-.f64 #s(literal 0 binary64) (/.f64 A B))) |
(+.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) A) (/.f64 A B))) |
(+.f64 (/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B) (fma.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 #s(literal 1 binary64) B) (/.f64 A B))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 A B)) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B)) |
(+.f64 (fma.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B) (neg.f64 (*.f64 (/.f64 A B) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 A B)) #s(literal 1 binary64) (*.f64 (/.f64 A B) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B))) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (neg.f64 (*.f64 (/.f64 A B) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 A B)) #s(literal 1 binary64) (*.f64 (/.f64 A B) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B))) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) |
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 C (hypot.f64 B (-.f64 C A)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (neg.f64 (*.f64 (/.f64 A B) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 A B)) #s(literal 1 binary64) (*.f64 (/.f64 A B) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 C (hypot.f64 B (-.f64 C A)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B))) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (hypot.f64 B (-.f64 C A))) (neg.f64 (*.f64 (/.f64 A B) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 A B)) #s(literal 1 binary64) (*.f64 (/.f64 A B) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (hypot.f64 B (-.f64 C A))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B))) (-.f64 #s(literal 0 binary64) A) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) A)))) |
(-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B)) |
(-.f64 (/.f64 C B) (/.f64 (-.f64 (hypot.f64 B (-.f64 C A)) (-.f64 #s(literal 0 binary64) A)) B)) |
(-.f64 (/.f64 (*.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (*.f64 B B)) (/.f64 (*.f64 B A) (*.f64 B B))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (*.f64 (/.f64 A B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))))) (/.f64 (/.f64 (*.f64 A (*.f64 A A)) (*.f64 B (*.f64 B B))) (+.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (*.f64 (/.f64 A B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))) (/.f64 (/.f64 (*.f64 (/.f64 A B) A) B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A)))) |
(fma.f64 C (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 (-.f64 (hypot.f64 B (-.f64 C A)) (-.f64 #s(literal 0 binary64) A)) B))) |
(fma.f64 A (neg.f64 (/.f64 #s(literal 1 binary64) B)) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B)) |
(fma.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 0 binary64) (/.f64 A B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (-.f64 #s(literal 0 binary64) (/.f64 A B))) |
(fma.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) (/.f64 #s(literal 1 binary64) B) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) A) (/.f64 A B))) |
(fma.f64 (-.f64 (*.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (*.f64 B A)) (/.f64 #s(literal 1 binary64) (*.f64 B B)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) A) (/.f64 A B))) |
(fma.f64 (-.f64 #s(literal 0 binary64) A) (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 C (hypot.f64 B (-.f64 C A)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (-.f64 #s(literal 0 binary64) (/.f64 A B))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)) (*.f64 A (*.f64 A A))) (*.f64 B (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (*.f64 (/.f64 A B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) A) (/.f64 A B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (hypot.f64 B (-.f64 C A))) (-.f64 #s(literal 0 binary64) (/.f64 A B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) A) (/.f64 A B))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)) (*.f64 A A)) (*.f64 B B)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) B)) A) (/.f64 A B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 A B) (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (*.f64 B A)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (*.f64 (/.f64 A B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A)))) (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)) (*.f64 A (*.f64 A A))) (*.f64 B (*.f64 B B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A)) (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)) (*.f64 A A)) (*.f64 B B)))) |
(/.f64 (-.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A) B) |
(/.f64 (-.f64 (*.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (*.f64 B A)) (*.f64 B B)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)) (*.f64 A (*.f64 A A))) (*.f64 B (*.f64 B B))) (+.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (*.f64 (/.f64 A B) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 3 binary64)) (*.f64 A (*.f64 A A))) (*.f64 B (*.f64 B B))) (+.f64 (pow.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (/.f64 A B) A) B) (*.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (-.f64 #s(literal 0 binary64) (/.f64 A B)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) #s(literal 2 binary64)) (*.f64 A A)) (*.f64 B B)) (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) A))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 C (hypot.f64 B (-.f64 C A)))) (-.f64 #s(literal 0 binary64) A)) (-.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) (/.f64 B A)) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B A))) |
(/.f64 (-.f64 (*.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) (-.f64 #s(literal 0 binary64) B)) (*.f64 B (-.f64 #s(literal 0 binary64) A))) (*.f64 B (-.f64 #s(literal 0 binary64) B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) A)) (*.f64 (/.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) B)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B A)) (*.f64 (/.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) #s(literal 1 binary64))) (*.f64 (/.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (/.f64 B A))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B)) (*.f64 (/.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (-.f64 #s(literal 0 binary64) A))) (*.f64 (/.f64 B (-.f64 C (hypot.f64 B (-.f64 C A)))) (-.f64 #s(literal 0 binary64) B))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 C (hypot.f64 B (-.f64 C A)))) B) (*.f64 (-.f64 #s(literal 0 binary64) B) A)) (*.f64 (-.f64 #s(literal 0 binary64) B) B)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (*.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 A C)) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))))) (*.f64 B (-.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))) #s(literal -1/8 binary64)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) (*.f64 (-.f64 C A) #s(literal 2 binary64))) (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))))) B)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (*.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 A C)) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) B)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))))) (neg.f64 (-.f64 #s(literal 0 binary64) B))) |
(/.f64 (*.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) #s(literal 1 binary64)) B) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))) #s(literal -1/8 binary64)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))))) (/.f64 #s(literal 1 binary64) B)) (+.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) (*.f64 (-.f64 C A) #s(literal 2 binary64))) (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (*.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 A C)) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))))) (/.f64 #s(literal 1 binary64) B)) (-.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))) |
(pow.f64 (/.f64 B (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 B (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) B)) |
(*.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) B))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 B (+.f64 (*.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))) #s(literal -1/8 binary64)) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) (*.f64 (-.f64 C A) #s(literal 2 binary64))) (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) #s(literal 4 binary64)) (*.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 A C)) (/.f64 #s(literal -1/2 binary64) (-.f64 A C)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 C A) #s(literal 2 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))))) |
(+.f64 C (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 C A)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 C A))) C) |
(-.f64 C (hypot.f64 B (-.f64 C A))) |
(-.f64 (/.f64 (*.f64 C (*.f64 C C)) (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A)))))) (/.f64 (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64)) (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))))) |
(-.f64 (/.f64 (*.f64 C C) (+.f64 C (hypot.f64 B (-.f64 C A)))) (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (+.f64 C (hypot.f64 B (-.f64 C A))))) |
(fma.f64 #s(literal -1 binary64) (hypot.f64 B (-.f64 C A)) C) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (hypot.f64 B (-.f64 C A))) (-.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64))) (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A)))))) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64))) (+.f64 (*.f64 C C) (-.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 C A))))))) |
(/.f64 (-.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))) (+.f64 C (hypot.f64 B (-.f64 C A)))) |
(/.f64 (-.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))) (-.f64 C (-.f64 #s(literal 0 binary64) (hypot.f64 B (-.f64 C A))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) (neg.f64 (+.f64 C (hypot.f64 B (-.f64 C A))))) |
(/.f64 (-.f64 (*.f64 (*.f64 C (*.f64 C C)) (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A)))))) (*.f64 (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))) (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 C C) (+.f64 C (hypot.f64 B (-.f64 C A)))) (*.f64 (+.f64 C (hypot.f64 B (-.f64 C A))) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) (*.f64 (+.f64 C (hypot.f64 B (-.f64 C A))) (+.f64 C (hypot.f64 B (-.f64 C A))))) |
(pow.f64 (/.f64 (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))) (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 C (hypot.f64 B (-.f64 C A))) (-.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 C (*.f64 C C)) (pow.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 C C) (+.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 C (hypot.f64 B (-.f64 C A))))))) |
(*.f64 (-.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1 binary64) (+.f64 C (hypot.f64 B (-.f64 C A))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 A C)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (-.f64 A C))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 A C))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 A C)) |
(/.f64 (neg.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 A C)))) |
(pow.f64 (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 A C) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 B (*.f64 B (/.f64 #s(literal -1/2 binary64) (-.f64 A C)))) |
(*.f64 B (*.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 A C)))) |
(*.f64 B (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 A C))) |
(*.f64 (*.f64 B B) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) (/.f64 #s(literal 1 binary64) (-.f64 A C)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (-.f64 A C))) |
(*.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 A C))) |
(*.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 A C)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 A C)) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 A C)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 A C)) (*.f64 B B)) |
(*.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 (*.f64 A (*.f64 A A)) (*.f64 C (*.f64 C C)))) (+.f64 (*.f64 A A) (*.f64 C (+.f64 C A)))) |
(*.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 (*.f64 A A) (*.f64 C C))) (+.f64 C A)) |
| 1× | egg-herbie |
| 6302× | *-lowering-*.f32 |
| 6302× | *-lowering-*.f64 |
| 4150× | +-lowering-+.f64 |
| 4150× | +-lowering-+.f32 |
| 1030× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 950 | 9592 |
| 1 | 3162 | 8296 |
| 0 | 8365 | 8296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(* 180 (/ (atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) (PI))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) |
(atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) |
(atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) |
(atan (- (* -1 (/ (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C)) B)) (/ A B))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
(atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) |
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(atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) |
(atan (- (+ (* -1 (/ A B)) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))))) |
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(- (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B))) |
(- (* C (- (+ (* C (- (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2)))) (/ A B))) |
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(- (* -1/2 (/ (* A B) (pow C 2))) (+ (* -1 (/ A B)) (+ (* 1/2 (/ B C)) (/ A B)))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))) (+ (* -1 (/ A B)) (+ (* 1/2 (/ B C)) (+ (* 1/2 (/ (* A B) (pow C 2))) (/ A B))))) |
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(* -1 (* C (- (* -1 (/ (- (+ (* -1 (/ A B)) (* 1/2 (/ B C))) (/ A B)) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (- (+ (* -1 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) (/ A B)) C)) (* 2 (/ 1 B))))) |
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(* B (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow (- C A) 7))) (* 1/16 (/ 1 (pow (- C A) 5))))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A))))) |
-1 |
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(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
1 |
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(- (/ C B) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
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(- (+ (* A (- (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (- (* A (- (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (+ (* -1 (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (/ 1 B)))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -2 (/ A B)) |
(* A (- (/ C (* A B)) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* A (- (+ (* -1/2 (/ (* B C) (pow A 3))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (+ (* 1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))))) |
(* 1/2 (/ B A)) |
(* -1 (/ (- (* -1/2 (/ (* B C) A)) (* 1/2 B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* -1/2 (* B C))) A)) (* 1/2 B)) A)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* C (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))))) (* -1/2 (* (pow B 4) C))) (* A B))) (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) B))) A)) (* -1/2 (* B C))) A)) (* 1/2 B)) A)) |
(* -1 (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2))))) |
(+ (* -1 (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2))))) (* C (- (/ 1 B) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2))))) (* C (- (+ (* -1/2 (* (/ (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(+ (* -1 (* (/ 1 B) (sqrt (+ (pow A 2) (pow B 2))))) (* C (- (+ (* C (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) B) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))) B) (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (/ 1 B)) (* -1 (* (/ A B) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))))) |
(/ A B) |
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(+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (/ A B))) |
(+ (* -1/2 (/ B C)) (+ (* -1/2 (/ (* A B) (pow C 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (* B (pow C 3)))) (/ A B)))) |
(* 2 (/ C B)) |
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(* -1 (* C (- (* -1 (/ (+ (* -1 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -1 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ A B) |
(/ (+ A (* -1/2 (/ (pow B 2) (- C A)))) B) |
(/ (+ A (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) B) |
(/ (+ A (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) B) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) 1) |
1 |
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(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B))) |
(/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B) |
(- (+ (* (/ (* A C) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* -1/2 (* (/ (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(- (+ (* A (+ (* A (+ (* -1/2 (* (/ (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) B) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* -1/2 (* (/ (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))) B) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))) (* (/ C B) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) (/ C B)) (* (/ 1 B) (sqrt (+ (pow B 2) (pow C 2))))) |
(* -1 (/ A B)) |
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(* A (- (+ (* -1/2 (/ B (pow A 2))) (/ C (* A B))) (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
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(/ A B) |
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(* -1 (* A (- (+ (* -1/2 (/ B (pow A 2))) (* -1/2 (/ (* B C) (pow A 3)))) (/ 1 B)))) |
(* -1 (* A (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) (* A B))) (* 1/2 (* B C))) (pow A 3))) (* -1/2 (/ B (pow A 2)))) (/ 1 B)))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
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(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(* -2 C) |
(+ (* -2 C) (* 2 A)) |
(+ (* -2 C) (* 2 A)) |
(+ (* -2 C) (* 2 A)) |
(* 2 A) |
(* A (+ 2 (* -2 (/ C A)))) |
(* A (+ 2 (* -2 (/ C A)))) |
(* A (+ 2 (* -2 (/ C A)))) |
(* 2 A) |
(* -1 (* A (- (* 2 (/ C A)) 2))) |
(* -1 (* A (- (* 2 (/ C A)) 2))) |
(* -1 (* A (- (* 2 (/ C A)) 2))) |
(* 2 A) |
(+ (* -2 C) (* 2 A)) |
(+ (* -2 C) (* 2 A)) |
(+ (* -2 C) (* 2 A)) |
(* -2 C) |
(* C (- (* 2 (/ A C)) 2)) |
(* C (- (* 2 (/ A C)) 2)) |
(* C (- (* 2 (/ A C)) 2)) |
(* -2 C) |
(* -1 (* C (+ 2 (* -2 (/ A C))))) |
(* -1 (* C (+ 2 (* -2 (/ A C))))) |
(* -1 (* C (+ 2 (* -2 (/ A C))))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI)) |
(/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI)) |
(/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI)) |
(/ (atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI)) |
(/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI)) |
(/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI)) |
(/ (atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) |
(atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) |
(atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) |
(atan (/ (+ (* -2 (+ A (* -1 C))) (* -1/2 (/ (pow B 2) (+ A (* -1 C))))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) |
(atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) |
(atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) |
(atan (/ (+ (* 1/2 (/ (pow B 2) (+ C (* -1 A)))) (* 2 (+ C (* -1 A)))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(+ (* -2 (/ A B)) (+ (* -1/2 (/ B A)) (* C (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))))) |
(+ (* -2 (/ A B)) (+ (* -1/2 (/ B A)) (* C (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (* 2 (/ 1 B))))))) |
(+ (* -2 (/ A B)) (+ (* -1/2 (/ B A)) (* C (+ (* -1/2 (/ B (pow A 2))) (+ (* 2 (/ 1 B)) (* C (+ (* -1/2 (/ B (pow A 3))) (* -1/2 (/ (* B C) (pow A 4)))))))))) |
(* 2 (/ C B)) |
(* C (+ (* -2 (/ A (* B C))) (* 2 (/ 1 B)))) |
(* C (+ (* -2 (/ A (* B C))) (+ (* 1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* C (+ (* -2 (/ A (* B C))) (+ (* 1/2 (/ B (pow C 2))) (+ (* 1/2 (/ (* A B) (pow C 3))) (* 2 (/ 1 B)))))) |
(* 2 (/ C B)) |
(* -1 (* C (- (* 2 (/ A (* B C))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* 1/2 (/ B C))) C)) (* 2 (/ 1 B))))) |
(* -1 (* C (- (* -1 (/ (+ (* -2 (/ A B)) (* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C))) C)) (* 2 (/ 1 B))))) |
(/ (+ (* 1/2 (/ (pow B 2) C)) (* 2 C)) B) |
(+ (* 1/2 (/ B C)) (+ (* 2 (/ C B)) (* A (- (* 1/2 (/ B (pow C 2))) (* 2 (/ 1 B)))))) |
(+ (* 1/2 (/ B C)) (+ (* 2 (/ C B)) (* A (- (+ (* 1/2 (/ B (pow C 2))) (* 1/2 (/ (* A B) (pow C 3)))) (* 2 (/ 1 B)))))) |
(+ (* 1/2 (/ B C)) (+ (* 2 (/ C B)) (* A (- (+ (* 1/2 (/ B (pow C 2))) (* A (+ (* 1/2 (/ B (pow C 3))) (* 1/2 (/ (* A B) (pow C 4)))))) (* 2 (/ 1 B)))))) |
(* -2 (/ A B)) |
(* A (- (* 2 (/ C (* A B))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 2 (/ C (* A B)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/2 (/ (* B C) (pow A 3))) (* 2 (/ C (* A B))))) (* 2 (/ 1 B)))) |
(* -2 (/ A B)) |
(* -1 (* A (+ (* -2 (/ C (* A B))) (* 2 (/ 1 B))))) |
(* -1 (* A (+ (* -1 (/ (+ (* -1/2 (/ B A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(* -1 (* A (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A)) (* 2 (/ C B))) A)) (* 2 (/ 1 B))))) |
(* 2 (/ (- C A) B)) |
(/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B) |
(/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B) |
(/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B) |
(* -1/2 (/ B (- A C))) |
(* B (- (* 2 (/ (- C A) (pow B 2))) (* 1/2 (/ 1 (- A C))))) |
(* B (- (* 2 (/ (- C A) (pow B 2))) (* 1/2 (/ 1 (- A C))))) |
(* B (- (* 2 (/ (- C A) (pow B 2))) (* 1/2 (/ 1 (- A C))))) |
(* -1/2 (/ B (- A C))) |
(* -1 (* B (+ (* -2 (/ (- C A) (pow B 2))) (* 1/2 (/ 1 (- A C)))))) |
(* -1 (* B (+ (* -2 (/ (- C A) (pow B 2))) (* 1/2 (/ 1 (- A C)))))) |
(* -1 (* B (+ (* -2 (/ (- C A) (pow B 2))) (* 1/2 (/ 1 (- A C)))))) |
(* -1 (sqrt (+ (pow A 2) (pow B 2)))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (sqrt (+ (pow A 2) (pow B 2)))) |
(- (* C (- (+ 1 (* -1/2 (* (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (sqrt (+ (pow A 2) (pow B 2)))) |
(- (* C (- (+ 1 (* C (- (* -1/2 (* (* A (* C (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2)))))) (sqrt (/ 1 (pow (+ (pow A 2) (pow B 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow A 2) (pow B 2)))) (- 1 (/ (pow A 2) (+ (pow A 2) (pow B 2))))))))) (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (sqrt (+ (pow A 2) (pow B 2)))) |
A |
(- (* -1/2 (/ (pow B 2) C)) (* -1 A)) |
(- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))) |
(- (* 1/2 (/ (+ (* -1 (* (pow A 2) (pow B 2))) (* 1/4 (pow B 4))) (pow C 3))) (+ (* -1 A) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))))) |
(* 2 C) |
(* -1 (* C (- (/ A C) 2))) |
(* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) A) C)) 2))) |
(* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) A) C)) 2))) |
A |
(+ A (* -1/2 (/ (pow B 2) (- C A)))) |
(+ A (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) |
(+ A (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) |
(* -1 B) |
(* B (- (/ C B) 1)) |
(* B (- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ C B)) 1)) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow (- C A) 2) B))) B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) B)) 1))) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(* -1 A) |
(* A (- (/ C A) (+ 1 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 1 (* -1 (/ C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
A |
(* -1 (* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 1))) |
(* -1 (* A (- (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1 (* A (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) (pow A 3))) (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(* 1/2 (/ (pow B 2) C)) |
(+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))) |
(+ (* 1/2 (/ (pow B 2) C)) (* A (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(+ (* 1/2 (/ (pow B 2) C)) (* A (+ (* 1/2 (/ (pow B 2) (pow C 2))) (* A (+ (* 1/2 (/ (* A (pow B 2)) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 3)))))))) |
(* -1/2 (/ (pow B 2) A)) |
(/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (* -1/2 (pow B 2))) A) |
(/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (+ (* -1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* -1/2 (pow B 2)))) A) |
(/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (+ (* -1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (+ (* -1/2 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* -1/2 (pow B 2))))) A) |
(* -1/2 (/ (pow B 2) A)) |
(* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow B 2) C)) (* -1/2 (/ (* (pow B 2) (pow C 2)) A))) A)) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow B 2) (pow C 2))) (* 1/2 (/ (* (pow B 2) (pow C 3)) A))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(* -1/2 (/ (pow B 2) A)) |
(+ (* -1/2 (/ (* (pow B 2) C) (pow A 2))) (* -1/2 (/ (pow B 2) A))) |
(+ (* -1/2 (/ (pow B 2) A)) (* C (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (* -1/2 (/ (pow B 2) (pow A 2)))))) |
(+ (* -1/2 (/ (pow B 2) A)) (* C (+ (* -1/2 (/ (pow B 2) (pow A 2))) (* C (+ (* -1/2 (/ (* (pow B 2) C) (pow A 4))) (* -1/2 (/ (pow B 2) (pow A 3)))))))) |
(* 1/2 (/ (pow B 2) C)) |
(/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C) |
(/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (+ (* 1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (+ (* 1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (+ (* 1/2 (/ (* (pow A 3) (pow B 2)) (pow C 3))) (* 1/2 (pow B 2))))) C) |
(* 1/2 (/ (pow B 2) C)) |
(* -1 (/ (+ (* -1/2 (/ (* A (pow B 2)) C)) (* -1/2 (pow B 2))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* A (pow B 2))) (* 1/2 (/ (* (pow A 2) (pow B 2)) C))) C)) (* -1/2 (pow B 2))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow A 2) (pow B 2))) (* -1/2 (/ (* (pow A 3) (pow B 2)) C))) C)) (* 1/2 (* A (pow B 2)))) C)) (* -1/2 (pow B 2))) C)) |
| Outputs |
|---|
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)))) (PI.f64)) |
(* 180 (/ (atan (- (/ C B) (+ (* (/ 1 B) (sqrt (+ (pow B 2) (pow (- C A) 2)))) (/ A B)))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B)))) (PI.f64)) |
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(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
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(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
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(* 180 (/ (atan (/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- (* 2 (- C A)) (* 1/2 (/ (pow B 2) (- A C)))) B)) (PI))) |
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(/ (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 (- C A))) B) |
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(* -1 (sqrt (+ (pow A 2) (pow B 2)))) |
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A |
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(* 2 C) |
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A |
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(+ A (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow (- C A) 5))) (* 1/8 (/ 1 (pow (- C A) 3))))) (* 1/2 (/ 1 (- C A)))))) |
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(* -1 B) |
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(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
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B |
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(- C (sqrt (+ (pow B 2) (pow C 2)))) |
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(- (+ C (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(+.f64 C (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (*.f64 C A)) (hypot.f64 C B))) |
(- (+ C (* A (- (* -1/2 (* (* A (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2))))) (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))) (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(+.f64 (*.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))) (-.f64 #s(literal 0 binary64) C)))) (-.f64 C (hypot.f64 C B))) |
(- (+ C (* A (- (* A (- (* -1/2 (* (* A (* C (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))) (sqrt (/ 1 (pow (+ (pow B 2) (pow C 2)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (pow B 2) (pow C 2)))) (- 1 (/ (pow C 2) (+ (pow B 2) (pow C 2)))))))) (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
(+.f64 C (-.f64 (*.f64 A (+.f64 (*.f64 A (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C))))) (*.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 B B) (*.f64 C C)) (*.f64 (+.f64 (*.f64 B B) (*.f64 C C)) (+.f64 (*.f64 B B) (*.f64 C C)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (+.f64 (*.f64 B B) (*.f64 C C)))))))) (*.f64 C (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 B B) (*.f64 C C))))))) (hypot.f64 C B))) |
(* -1 A) |
(-.f64 #s(literal 0 binary64) A) |
(* A (- (/ C A) (+ 1 (* -1 (/ C A))))) |
(*.f64 A (-.f64 (/.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 C A)))) |
(* A (- (+ (* -1/2 (/ (pow B 2) (pow A 2))) (/ C A)) (+ 1 (* -1 (/ C A))))) |
(*.f64 A (+.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 A A)) (-.f64 (/.f64 C A) (-.f64 #s(literal 1 binary64) (/.f64 C A))))) |
(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 A (+.f64 (/.f64 (*.f64 C (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) (*.f64 A (*.f64 A A))) (-.f64 (+.f64 (/.f64 C A) #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 A A)) (/.f64 C A))))) |
A |
(* -1 (* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) A) (+.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 A A)) #s(literal -1 binary64))) |
(* -1 (* A (- (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) A) (+.f64 (+.f64 (/.f64 (*.f64 C (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) (*.f64 A (*.f64 A A))) #s(literal -1 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 A A)))) |
(* -1 (* A (- (* -1 (/ (- (* -1/2 (/ (+ (* -1 (* (pow B 2) (pow C 2))) (* 1/4 (pow B 4))) A)) (* -1/2 (* (pow B 2) C))) (pow A 3))) (+ 1 (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) A) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C (*.f64 C (*.f64 B B)))) A) (*.f64 C (*.f64 B B)))) (*.f64 A (*.f64 A A))) #s(literal -1 binary64)) (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 A A)))) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* -1/2 (/ (pow B 2) (- A C))) |
(/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (-.f64 A C)) |
(* 1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) |
(+ (* 1/2 (/ (* A (pow B 2)) (pow C 2))) (* 1/2 (/ (pow B 2) C))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 B B) A) (*.f64 C C)) (/.f64 (*.f64 B B) C))) |
(+ (* 1/2 (/ (pow B 2) C)) (* A (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 B B) A) (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C))))) |
(+ (* 1/2 (/ (pow B 2) C)) (* A (+ (* 1/2 (/ (pow B 2) (pow C 2))) (* A (+ (* 1/2 (/ (* A (pow B 2)) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 3)))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 A (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 B B) A) (pow.f64 C #s(literal 4 binary64))) (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C)))))))) |
(* -1/2 (/ (pow B 2) A)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A)) |
(/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (* -1/2 (pow B 2))) A) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) A) (*.f64 B B))) A) |
(/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (+ (* -1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (* -1/2 (pow B 2)))) A) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) A) (+.f64 (/.f64 (*.f64 C (*.f64 C (*.f64 B B))) (*.f64 A A)) (*.f64 B B)))) A) |
(/ (+ (* -1/2 (/ (* (pow B 2) C) A)) (+ (* -1/2 (/ (* (pow B 2) (pow C 2)) (pow A 2))) (+ (* -1/2 (/ (* (pow B 2) (pow C 3)) (pow A 3))) (* -1/2 (pow B 2))))) A) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C (*.f64 B B)) A)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 C (*.f64 C (*.f64 B B))) (*.f64 A A)) (+.f64 (/.f64 (*.f64 C (*.f64 C (*.f64 C (*.f64 B B)))) (*.f64 A (*.f64 A A))) (*.f64 B B))))) A) |
(* -1/2 (/ (pow B 2) A)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A)) |
(* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) A) (*.f64 B B))) A) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow B 2) C)) (* -1/2 (/ (* (pow B 2) (pow C 2)) A))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (+.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 B B) (+.f64 C (/.f64 (*.f64 C C) A)))) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow B 2) (pow C 2))) (* 1/2 (/ (* (pow B 2) (pow C 3)) A))) A)) (* -1/2 (* (pow B 2) C))) A)) (* 1/2 (pow B 2))) A)) |
(/.f64 (-.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 C (*.f64 B (*.f64 B #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) (+.f64 (*.f64 C C) (/.f64 (*.f64 C (*.f64 C C)) A)))) A)) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1/2 (/ (pow B 2) A)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A)) |
(+ (* -1/2 (/ (* (pow B 2) C) (pow A 2))) (* -1/2 (/ (pow B 2) A))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A A)) (/.f64 (*.f64 B B) A))) |
(+ (* -1/2 (/ (pow B 2) A)) (* C (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (* -1/2 (/ (pow B 2) (pow A 2)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A)) (*.f64 (*.f64 C #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A (*.f64 A A))) (/.f64 (*.f64 B B) (*.f64 A A))))) |
(+ (* -1/2 (/ (pow B 2) A)) (* C (+ (* -1/2 (/ (pow B 2) (pow A 2))) (* C (+ (* -1/2 (/ (* (pow B 2) C) (pow A 4))) (* -1/2 (/ (pow B 2) (pow A 3)))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A)) (*.f64 C (+.f64 (/.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (*.f64 A A)) (*.f64 C (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 C (*.f64 B B)) (pow.f64 A #s(literal 4 binary64))) (/.f64 (*.f64 B B) (*.f64 A (*.f64 A A))))))))) |
(* 1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) |
(/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 B B) A) C) (*.f64 B B))) C) |
(/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (+ (* 1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 B B) A) C) (+.f64 (/.f64 (*.f64 B (*.f64 B (*.f64 A A))) (*.f64 C C)) (*.f64 B B)))) C) |
(/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (+ (* 1/2 (/ (* (pow A 2) (pow B 2)) (pow C 2))) (+ (* 1/2 (/ (* (pow A 3) (pow B 2)) (pow C 3))) (* 1/2 (pow B 2))))) C) |
(/.f64 (+.f64 (/.f64 (*.f64 A (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) C) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 B (*.f64 B (*.f64 A A))) (*.f64 C C)) (+.f64 (/.f64 (*.f64 B (*.f64 B (*.f64 A (*.f64 A A)))) (*.f64 C (*.f64 C C))) (*.f64 B B))))) C) |
(* 1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) |
(* -1 (/ (+ (* -1/2 (/ (* A (pow B 2)) C)) (* -1/2 (pow B 2))) C)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 B B) A) C) (*.f64 B B))) C) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* A (pow B 2))) (* 1/2 (/ (* (pow A 2) (pow B 2)) C))) C)) (* -1/2 (pow B 2))) C)) |
(/.f64 (+.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 B B) A) (/.f64 (*.f64 B (*.f64 B (*.f64 A A))) C))) C)) (-.f64 #s(literal 0 binary64) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow A 2) (pow B 2))) (* -1/2 (/ (* (pow A 3) (pow B 2)) C))) C)) (* 1/2 (* A (pow B 2)))) C)) (* -1/2 (pow B 2))) C)) |
(/.f64 (-.f64 (*.f64 B (*.f64 B #s(literal -1/2 binary64))) (/.f64 (+.f64 (*.f64 A (*.f64 (*.f64 B B) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 B (*.f64 B (*.f64 A A))) (*.f64 (*.f64 A (*.f64 A A)) (/.f64 (*.f64 B B) C)))) C)) C)) (-.f64 #s(literal 0 binary64) C)) |
Compiled 32694 to 4065 computations (87.6% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1347 | 10 | 1357 |
| Fresh | 7 | 12 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1357 | 27 | 1384 |
| Status | Accuracy | Program |
|---|---|---|
| 40.2% | (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) | |
| 39.9% | (/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 28.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| 26.4% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) | |
| ▶ | 28.4% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| 39.7% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))))) | |
| ▶ | 40.2% | (*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
| 40.2% | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) #s(literal 1/180 binary64))) | |
| ▶ | 61.2% | (*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 28.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 34.5% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) (-.f64 C A))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 41.9% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 55.1% | (*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 B A)) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 50.0% | (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 37.8% | (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 36.5% | (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 29.7% | (*.f64 (atan.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ▶ | 28.1% | (*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 40.2% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 26.4% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ✓ | 19.7% | (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ▶ | 14.8% | (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 18.3% | (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 31.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 C #s(literal 2 binary64))) B)) (PI.f64))) | |
| 27.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) | |
| ✓ | 28.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 48.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
Compiled 783 to 620 computations (20.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) |
| ✓ | cost-diff | 0 | (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) |
| ✓ | cost-diff | 0 | (*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 2370× | *-lowering-*.f32 |
| 2370× | *-lowering-*.f64 |
| 2056× | fnmadd-define |
| 1658× | /-lowering-/.f32 |
| 1658× | /-lowering-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 208 |
| 1 | 87 | 195 |
| 2 | 182 | 193 |
| 3 | 326 | 190 |
| 4 | 877 | 190 |
| 5 | 2613 | 190 |
| 6 | 5879 | 190 |
| 0 | 8387 | 190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI))) |
(atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) |
(/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B) |
(- 0 (+ A (sqrt (+ (* B B) (* A A))))) |
0 |
(+ A (sqrt (+ (* B B) (* A A)))) |
A |
(sqrt (+ (* B B) (* A A))) |
B |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan 0) (/ 180 (PI))) |
(atan 0) |
0 |
(/ 180 (PI)) |
180 |
(PI) |
(/ 180 (/ (PI) (atan (/ (* B 1/2) A)))) |
180 |
(/ (PI) (atan (/ (* B 1/2) A))) |
(PI) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(* (/ (atan (/ B (/ (- A C) 1/2))) (PI)) 180) |
(/ (atan (/ B (/ (- A C) 1/2))) (PI)) |
(atan (/ B (/ (- A C) 1/2))) |
(/ B (/ (- A C) 1/2)) |
B |
(/ (- A C) 1/2) |
(- A C) |
A |
C |
1/2 |
(PI) |
180 |
(* (atan (* (/ (* B B) (* B (- C A))) -1/2)) (/ 180 (PI))) |
(atan (* (/ (* B B) (* B (- C A))) -1/2)) |
(* (/ (* B B) (* B (- C A))) -1/2) |
(/ (* B B) (* B (- C A))) |
(* B B) |
B |
(* B (- C A)) |
(- C A) |
C |
A |
-1/2 |
(/ 180 (PI)) |
180 |
(PI) |
| Outputs |
|---|
(* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 A B)) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 A B)) A) B)) |
(/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 A B)) A) B) |
(- 0 (+ A (sqrt (+ (* B B) (* A A))))) |
(-.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 A B)) A) |
0 |
#s(literal 0 binary64) |
(+ A (sqrt (+ (* B B) (* A A)))) |
(+.f64 A (hypot.f64 A B)) |
A |
(sqrt (+ (* B B) (* A A))) |
(hypot.f64 A B) |
B |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan 0) (/ 180 (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
(atan 0) |
(atan.f64 #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(/ 180 (/ (PI) (atan (/ (* B 1/2) A)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
180 |
#s(literal 180 binary64) |
(/ (PI) (atan (/ (* B 1/2) A))) |
(/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
(PI) |
(PI.f64) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(/ (* B 1/2) A) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(* (/ (atan (/ B (/ (- A C) 1/2))) (PI)) 180) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))) |
(/ (atan (/ B (/ (- A C) 1/2))) (PI)) |
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) |
(atan (/ B (/ (- A C) 1/2))) |
(atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) |
(/ B (/ (- A C) 1/2)) |
(/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))) |
B |
(/ (- A C) 1/2) |
(/.f64 (-.f64 A C) #s(literal 1/2 binary64)) |
(- A C) |
(-.f64 A C) |
A |
C |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
180 |
#s(literal 180 binary64) |
(* (atan (* (/ (* B B) (* B (- C A))) -1/2)) (/ 180 (PI))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))) |
(atan (* (/ (* B B) (* B (- C A))) -1/2)) |
(atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) |
(* (/ (* B B) (* B (- C A))) -1/2) |
(/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))) |
(/ (* B B) (* B (- C A))) |
(/.f64 B (-.f64 C A)) |
(* B B) |
(*.f64 B B) |
B |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(- C A) |
(-.f64 C A) |
C |
A |
-1/2 |
#s(literal -1/2 binary64) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 B (-.f64 C A)) |
| ✓ | accuracy | 99.8% | (*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 74.5% | (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) |
| ✓ | accuracy | 72.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
| ✓ | accuracy | 72.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 99.9% | (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| ✓ | accuracy | 72.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 0 binary64)) |
| ✓ | accuracy | 72.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B) |
| ✓ | accuracy | 100.0% | (*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | accuracy | 72.0% | (PI.f64) |
| 316.0ms | 74× | 5 | exit |
| 200.0ms | 182× | 0 | valid |
Compiled 230 to 36 computations (84.3% saved)
backward-pass: 86.0ms (36.4% of total)compiled-spec: 44.0ms (18.6% of total)ival-div: 33.0ms (14% of total)ival-atan: 32.0ms (13.6% of total)ival-mult: 23.0ms (9.7% of total)ival-sub: 7.0ms (3% of total)ival-add: 6.0ms (2.5% of total)ival-sqrt: 3.0ms (1.3% of total)const: 1.0ms (0.4% of total)ival-pi: 1.0ms (0.4% of total)| Inputs |
|---|
#<alt (* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI)))> |
#<alt (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B))> |
#<alt (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)> |
#<alt (- 0 (+ A (sqrt (+ (* B B) (* A A)))))> |
#<alt (* (atan 0) (/ 180 (PI)))> |
#<alt (atan 0)> |
#<alt (/ 180 (PI))> |
#<alt (PI)> |
#<alt (/ 180 (/ (PI) (atan (/ (* B 1/2) A))))> |
#<alt (/ (PI) (atan (/ (* B 1/2) A)))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (* (/ (atan (/ B (/ (- A C) 1/2))) (PI)) 180)> |
#<alt (/ (atan (/ B (/ (- A C) 1/2))) (PI))> |
#<alt (atan (/ B (/ (- A C) 1/2)))> |
#<alt (/ B (/ (- A C) 1/2))> |
#<alt (/ (* B B) (* B (- C A)))> |
#<alt (* (atan (* (/ (* B B) (* B (- C A))) -1/2)) (/ 180 (PI)))> |
#<alt (atan (* (/ (* B B) (* B (- C A))) -1/2))> |
#<alt (* (/ (* B B) (* B (- C A))) -1/2)> |
#<alt (* B (- C A))> |
| Outputs |
|---|
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)))> |
#<alt -1> |
#<alt (- (* -1 (/ A B)) 1)> |
#<alt (- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1)> |
#<alt (- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1)> |
#<alt (* -2 (/ A B))> |
#<alt (* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B))))> |
#<alt (* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B))))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A))> |
#<alt (* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A))> |
#<alt (* -2 (/ A B))> |
#<alt (/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B)> |
#<alt (/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B)> |
#<alt (/ (+ (* -2 A) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A))))) B)> |
#<alt -1> |
#<alt (- (* -1 (/ A B)) 1)> |
#<alt (- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1)> |
#<alt (- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ A B)))> |
#<alt (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B)))> |
#<alt (* -1 B)> |
#<alt (- (* -1 A) B)> |
#<alt (- (* A (- (* -1/2 (/ A B)) 1)) B)> |
#<alt (- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))) 1)) B)> |
#<alt (* -2 A)> |
#<alt (* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 2))> |
#<alt (* A (- (* 1/8 (/ (pow B 4) (pow A 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow A 2))))))> |
#<alt (* A (- (* -1/16 (/ (pow B 6) (pow A 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2)))))))> |
#<alt (* 1/2 (/ (pow B 2) A))> |
#<alt (* -1 (/ (- (* 1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A))> |
#<alt (* -1 (/ (- (* -1/16 (/ (pow B 6) (pow A 4))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2)))) A))> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A))> |
#<alt (* -2 A)> |
#<alt (- (* -1/2 (/ (pow B 2) A)) (* 2 A))> |
#<alt (- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))) (* 2 A))> |
#<alt (- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A)))) (* 2 A))> |
#<alt (* -1 B)> |
#<alt (* B (- (* -1 (/ A B)) 1))> |
#<alt (* B (- (* -1/2 (/ (pow A 2) (pow B 2))) (+ 1 (/ A B))))> |
#<alt (* B (- (* 1/8 (/ (pow A 4) (pow B 4))) (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (/ A B) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (* 1/2 (/ (pow A 2) B)) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B)) A) B)) 1)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (* 180 (/ (atan (* 1/2 (/ B A))) (PI)))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
#<alt (/ (PI) (atan (* 1/2 (/ B A))))> |
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#<alt (* B (- C A))> |
#<alt (* B (- C A))> |
#<alt (* B (- C A))> |
#<alt (* B (- C A))> |
#<alt (* -1 (* A B))> |
#<alt (+ (* -1 (* A B)) (* B C))> |
#<alt (+ (* -1 (* A B)) (* B C))> |
#<alt (+ (* -1 (* A B)) (* B C))> |
#<alt (* B C)> |
#<alt (* C (+ B (* -1 (/ (* A B) C))))> |
#<alt (* C (+ B (* -1 (/ (* A B) C))))> |
#<alt (* C (+ B (* -1 (/ (* A B) C))))> |
#<alt (* B C)> |
#<alt (* -1 (* C (+ (* -1 B) (/ (* A B) C))))> |
#<alt (* -1 (* C (+ (* -1 B) (/ (* A B) C))))> |
#<alt (* -1 (* C (+ (* -1 B) (/ (* A B) C))))> |
#<alt (* B C)> |
#<alt (+ (* -1 (* A B)) (* B C))> |
#<alt (+ (* -1 (* A B)) (* B C))> |
#<alt (+ (* -1 (* A B)) (* B C))> |
#<alt (* -1 (* A B))> |
#<alt (* A (+ (* -1 B) (/ (* B C) A)))> |
#<alt (* A (+ (* -1 B) (/ (* B C) A)))> |
#<alt (* A (+ (* -1 B) (/ (* B C) A)))> |
#<alt (* -1 (* A B))> |
#<alt (* -1 (* A (+ B (* -1 (/ (* B C) A)))))> |
#<alt (* -1 (* A (+ B (* -1 (/ (* B C) A)))))> |
#<alt (* -1 (* A (+ B (* -1 (/ (* B C) A)))))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | A | @ | inf | (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B) |
| 4.0ms | B | @ | -inf | (atan (/ (* B 1/2) A)) |
| 1.0ms | A | @ | inf | (* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI))) |
| 1.0ms | A | @ | -inf | (* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI))) |
| 1.0ms | B | @ | inf | (* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI))) |
| 1× | batch-egg-rewrite |
| 4598× | /-lowering-/.f32 |
| 4598× | /-lowering-/.f64 |
| 3060× | *-lowering-*.f32 |
| 3060× | *-lowering-*.f64 |
| 1458× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 158 |
| 1 | 222 | 134 |
| 2 | 1773 | 133 |
| 0 | 8364 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) (/ 180 (PI))) |
(atan (/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B)) |
(/ (- 0 (+ A (sqrt (+ (* B B) (* A A))))) B) |
(- 0 (+ A (sqrt (+ (* B B) (* A A))))) |
(* (atan 0) (/ 180 (PI))) |
(atan 0) |
(/ 180 (PI)) |
(PI) |
(/ 180 (/ (PI) (atan (/ (* B 1/2) A)))) |
(/ (PI) (atan (/ (* B 1/2) A))) |
(atan (/ (* B 1/2) A)) |
(* (/ (atan (/ B (/ (- A C) 1/2))) (PI)) 180) |
(/ (atan (/ B (/ (- A C) 1/2))) (PI)) |
(atan (/ B (/ (- A C) 1/2))) |
(/ B (/ (- A C) 1/2)) |
(/ (* B B) (* B (- C A))) |
(* (atan (* (/ (* B B) (* B (- C A))) -1/2)) (/ 180 (PI))) |
(atan (* (/ (* B B) (* B (- C A))) -1/2)) |
(* (/ (* B B) (* B (- C A))) -1/2) |
(* B (- C A)) |
| Outputs |
|---|
(/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 180 binary64)) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 180 binary64)) (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal -180 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 180 binary64)) (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (PI.f64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64))))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 1 binary64)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal -180 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)))) (neg.f64 (/.f64 (PI.f64) #s(literal 180 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 1 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 180 binary64)))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal -180 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))))) (neg.f64 (/.f64 (PI.f64) #s(literal 180 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -180 binary64) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64))) #s(literal -1 binary64)) |
(*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (/.f64 (PI.f64) #s(literal 180 binary64)))) |
(*.f64 #s(literal -180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 1/180 binary64))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 180 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 180 binary64)))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 180 binary64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) #s(literal -1 binary64)) (/.f64 #s(literal -180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 #s(literal -180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal -180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal -180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) (neg.f64 (cbrt.f64 (PI.f64))))) |
(atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) |
(neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 A (hypot.f64 A B)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 A B)) (/.f64 (hypot.f64 A B) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 A A) (-.f64 A (hypot.f64 A B))) (-.f64 #s(literal 0 binary64) B)) (/.f64 (/.f64 (+.f64 (*.f64 B B) (*.f64 A A)) (-.f64 A (hypot.f64 A B))) (-.f64 #s(literal 0 binary64) B))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64))) B) (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 A B))) B) (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 A B)) B) (/.f64 A B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) B))) (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) A) (neg.f64 (-.f64 #s(literal 0 binary64) B))) (/.f64 (hypot.f64 A B) (neg.f64 (-.f64 #s(literal 0 binary64) B)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) B))) (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 A B))) (neg.f64 (-.f64 #s(literal 0 binary64) B))) (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 A B)) (neg.f64 (-.f64 #s(literal 0 binary64) B))) (/.f64 A (neg.f64 (-.f64 #s(literal 0 binary64) B)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 B (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 3 binary64)) (*.f64 B (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 B (+.f64 A (hypot.f64 A B)))) (/.f64 (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64)) (*.f64 B (+.f64 A (hypot.f64 A B))))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) B) (*.f64 B B)) (/.f64 (*.f64 B (+.f64 A (hypot.f64 A B))) (*.f64 B B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))))) (/.f64 (pow.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 (pow.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) |
(neg.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B)) |
(/.f64 (+.f64 A (hypot.f64 A B)) (-.f64 #s(literal 0 binary64) B)) |
(/.f64 (+.f64 A (hypot.f64 A B)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) B)))) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 A B)) B) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 A B)) (neg.f64 (-.f64 #s(literal 0 binary64) B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 A (hypot.f64 A B)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) B) (+.f64 A (hypot.f64 A B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 A B)) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 A (hypot.f64 A B))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 0 binary64) B) (*.f64 B (+.f64 A (hypot.f64 A B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64)) B) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 0 binary64) A) (hypot.f64 A B)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 A (hypot.f64 A B)) B) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 A (hypot.f64 A B)) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B) #s(literal 3 binary64))))) |
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(*.f64 B (-.f64 C A)) |
(*.f64 (-.f64 C A) B) |
| 1× | egg-herbie |
| 4532× | *-lowering-*.f32 |
| 4532× | *-lowering-*.f64 |
| 2190× | +-lowering-+.f64 |
| 2190× | +-lowering-+.f32 |
| 1578× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 5551 |
| 1 | 1560 | 5061 |
| 2 | 4548 | 4642 |
| 0 | 8359 | 4642 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -2 (/ A B)) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B)))) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A)) |
(* -2 (/ A B)) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A))))) B) |
-1 |
(- (* -1 (/ A B)) 1) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
1 |
(+ 1 (* -1 (/ A B))) |
(+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) B))) |
(+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* -1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B))) B))) |
(* -1 B) |
(- (* -1 A) B) |
(- (* A (- (* -1/2 (/ A B)) 1)) B) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))) 1)) B) |
(* -2 A) |
(* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 2)) |
(* A (- (* 1/8 (/ (pow B 4) (pow A 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(* A (- (* -1/16 (/ (pow B 6) (pow A 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(* 1/2 (/ (pow B 2) A)) |
(* -1 (/ (- (* 1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A)) |
(* -1 (/ (- (* -1/16 (/ (pow B 6) (pow A 4))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2)))) A)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A)) |
(* -2 A) |
(- (* -1/2 (/ (pow B 2) A)) (* 2 A)) |
(- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))) (* 2 A)) |
(- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A)))) (* 2 A)) |
(* -1 B) |
(* B (- (* -1 (/ A B)) 1)) |
(* B (- (* -1/2 (/ (pow A 2) (pow B 2))) (+ 1 (/ A B)))) |
(* B (- (* 1/8 (/ (pow A 4) (pow B 4))) (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (/ A B) 1))) |
(* -1 (* B (- (* -1 (/ (- (* 1/2 (/ (pow A 2) B)) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B)) A) B)) 1))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(/ (PI) (atan (* 1/2 (/ B A)))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(atan (* 1/2 (/ B A))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI)) |
(/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI)) |
(/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI)) |
(/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (- A C)))) (PI)) |
(/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI)) |
(/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI)) |
(/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI)) |
(/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI)) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (- A C)))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* 1/2 (/ B (- A C))) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(/ B (- C A)) |
(* -1 (/ B A)) |
(+ (* -1 (/ B A)) (* -1 (/ (* B C) (pow A 2)))) |
(+ (* -1 (/ B A)) (* C (- (* -1 (/ (* B C) (pow A 3))) (/ B (pow A 2))))) |
(+ (* -1 (/ B A)) (* C (- (* C (- (* -1 (/ (* B C) (pow A 4))) (/ B (pow A 3)))) (/ B (pow A 2))))) |
(/ B C) |
(/ (+ B (/ (* A B) C)) C) |
(/ (- (+ B (/ (* (pow A 2) B) (pow C 2))) (* -1 (/ (* A B) C))) C) |
(/ (- (+ B (/ (* (pow A 3) B) (pow C 3))) (+ (* -1 (/ (* A B) C)) (* -1 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ B C) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (+ (* A B) (/ (* (pow A 2) B) C)) C))) C)) |
(* -1 (/ (+ (* -1 B) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow A 2) B)) (* -1 (/ (* (pow A 3) B) C))) C)) (* A B)) C))) C)) |
(/ B C) |
(+ (/ B C) (/ (* A B) (pow C 2))) |
(+ (* A (- (/ (* A B) (pow C 3)) (* -1 (/ B (pow C 2))))) (/ B C)) |
(+ (* A (- (* A (- (/ (* A B) (pow C 4)) (* -1 (/ B (pow C 3))))) (* -1 (/ B (pow C 2))))) (/ B C)) |
(* -1 (/ B A)) |
(/ (+ (* -1 B) (* -1 (/ (* B C) A))) A) |
(/ (- (+ (* -1 B) (* -1 (/ (* B (pow C 2)) (pow A 2)))) (/ (* B C) A)) A) |
(/ (- (+ (* -1 B) (* -1 (/ (* B (pow C 3)) (pow A 3)))) (+ (/ (* B C) A) (/ (* B (pow C 2)) (pow A 2)))) A) |
(* -1 (/ B A)) |
(* -1 (/ (+ B (/ (* B C) A)) A)) |
(* -1 (/ (+ B (* -1 (/ (- (* -1 (/ (* B (pow C 2)) A)) (* B C)) A))) A)) |
(* -1 (/ (+ B (* -1 (/ (- (* -1 (/ (- (/ (* B (pow C 3)) A) (* -1 (* B (pow C 2)))) A)) (* B C)) A))) A)) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* 1/2 (/ B (+ A (* -1 C))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (- C A)))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(* 180 (/ (atan (* -1/2 (/ B (+ C (* -1 A))))) (PI))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* 1/2 (/ B (+ A (* -1 C))))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (- C A)))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(atan (* -1/2 (/ B (+ C (* -1 A))))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* -1/2 (/ B (- C A))) |
(* 1/2 (/ B A)) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(* -1/2 (/ B C)) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(* -1/2 (/ B C)) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(* 1/2 (/ B A)) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(* 1/2 (/ B A)) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* B (- C A)) |
(* -1 (* A B)) |
(+ (* -1 (* A B)) (* B C)) |
(+ (* -1 (* A B)) (* B C)) |
(+ (* -1 (* A B)) (* B C)) |
(* B C) |
(* C (+ B (* -1 (/ (* A B) C)))) |
(* C (+ B (* -1 (/ (* A B) C)))) |
(* C (+ B (* -1 (/ (* A B) C)))) |
(* B C) |
(* -1 (* C (+ (* -1 B) (/ (* A B) C)))) |
(* -1 (* C (+ (* -1 B) (/ (* A B) C)))) |
(* -1 (* C (+ (* -1 B) (/ (* A B) C)))) |
(* B C) |
(+ (* -1 (* A B)) (* B C)) |
(+ (* -1 (* A B)) (* B C)) |
(+ (* -1 (* A B)) (* B C)) |
(* -1 (* A B)) |
(* A (+ (* -1 B) (/ (* B C) A))) |
(* A (+ (* -1 B) (/ (* B C) A))) |
(* A (+ (* -1 B) (/ (* B C) A))) |
(* -1 (* A B)) |
(* -1 (* A (+ B (* -1 (/ (* B C) A))))) |
(* -1 (* A (+ B (* -1 (/ (* B C) A))))) |
(* -1 (* A (+ B (* -1 (/ (* B C) A))))) |
| Outputs |
|---|
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (PI.f64)) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (/ (- (* -1 A) (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
(atan (* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B))) |
(atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 A (hypot.f64 A B)) B))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ A B)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 A B)) |
(- (* A (- (* -1/2 (/ A (pow B 2))) (/ 1 B))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 A (+.f64 (/.f64 (/.f64 (*.f64 A #s(literal -1/2 binary64)) B) B) (/.f64 #s(literal -1 binary64) B)))) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(+.f64 #s(literal -1 binary64) (*.f64 A (+.f64 (*.f64 A (+.f64 (/.f64 (*.f64 (*.f64 A A) #s(literal 1/8 binary64)) (pow.f64 B #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 B B)))) (/.f64 #s(literal -1 binary64) B)))) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(* A (- (* -1/2 (/ B (pow A 2))) (* 2 (/ 1 B)))) |
(*.f64 A (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A))) (/.f64 #s(literal -2 binary64) B))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (* 1/8 (/ (pow B 3) (pow A 4)))) (* 2 (/ 1 B)))) |
(*.f64 A (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (pow.f64 A #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A))) (/.f64 #s(literal -2 binary64) B)))) |
(* A (- (+ (* -1/2 (/ B (pow A 2))) (+ (* -1/16 (/ (pow B 5) (pow A 6))) (* 1/8 (/ (pow B 3) (pow A 4))))) (* 2 (/ 1 B)))) |
(*.f64 A (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 B (*.f64 A A))) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 5 binary64))) (pow.f64 A #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (pow.f64 A #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) B))))) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -1 (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow A 2)))) A)) |
(/.f64 (+.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (*.f64 A A))) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (* 1/8 (/ (pow B 3) (pow A 2))))) A)) |
(/.f64 (+.f64 (+.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (*.f64 A A))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 5 binary64))) (pow.f64 A #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow A 4))) (+ (* 1/8 (/ (pow B 3) (pow A 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* (pow A 6) B)))))) A)) |
(/.f64 (+.f64 (*.f64 B #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 5 binary64))) (pow.f64 A #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (*.f64 A A)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64))) (*.f64 B (pow.f64 A #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) A)) |
(* -2 (/ A B)) |
(/.f64 (*.f64 A #s(literal -2 binary64)) B) |
(/ (+ (* -2 A) (* -1/2 (/ (pow B 2) A))) B) |
(/.f64 (+.f64 (*.f64 A #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) A)) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A))))) B) |
(/.f64 (+.f64 (*.f64 A #s(literal -2 binary64)) (*.f64 (*.f64 B B) (+.f64 (/.f64 #s(literal -1/2 binary64) A) (/.f64 (*.f64 (*.f64 B B) #s(literal 1/8 binary64)) (*.f64 A (*.f64 A A)))))) B) |
(/ (+ (* -2 A) (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A))))) B) |
(/.f64 (+.f64 (*.f64 A #s(literal -2 binary64)) (*.f64 (*.f64 B B) (+.f64 (*.f64 (*.f64 B B) (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/16 binary64)) (pow.f64 A #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 A (*.f64 A A))))) (/.f64 #s(literal -1/2 binary64) A)))) B) |
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#s(literal -1 binary64) |
(- (* -1 (/ A B)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 A B)) |
(- (+ (* -1 (/ A B)) (* -1/2 (/ (pow A 2) (pow B 2)))) 1) |
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(- (+ (* -1 (/ A B)) (+ (* -1/2 (/ (pow A 2) (pow B 2))) (* 1/8 (/ (pow A 4) (pow B 4))))) 1) |
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#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 A (/.f64 (*.f64 (*.f64 A A) #s(literal -1/2 binary64)) B)) B)) |
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(* -1 B) |
(-.f64 #s(literal 0 binary64) B) |
(- (* -1 A) B) |
(-.f64 (-.f64 #s(literal 0 binary64) A) B) |
(- (* A (- (* -1/2 (/ A B)) 1)) B) |
(-.f64 (*.f64 A (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 A #s(literal -1/2 binary64)) B))) B) |
(- (* A (- (* A (- (* 1/8 (/ (pow A 2) (pow B 3))) (* 1/2 (/ 1 B)))) 1)) B) |
(-.f64 (*.f64 A (+.f64 #s(literal -1 binary64) (*.f64 A (+.f64 (/.f64 (*.f64 (*.f64 A A) #s(literal 1/8 binary64)) (*.f64 B (*.f64 B B))) (/.f64 #s(literal -1/2 binary64) B))))) B) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* A (- (* -1/2 (/ (pow B 2) (pow A 2))) 2)) |
(*.f64 A (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (*.f64 A A)))) |
(* A (- (* 1/8 (/ (pow B 4) (pow A 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 A #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (*.f64 A A)))) |
(* A (- (* -1/16 (/ (pow B 6) (pow A 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow A 4))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
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(* 1/2 (/ (pow B 2) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)) |
(* -1 (/ (- (* 1/8 (/ (pow B 4) (pow A 2))) (* 1/2 (pow B 2))) A)) |
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(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 A #s(literal 4 binary64))) (+.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A A)))) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow A 6))) (+ (* -1/8 (/ (pow B 4) (pow A 2))) (+ (* 1/16 (/ (pow B 6) (pow A 4))) (* 1/2 (pow B 2))))) A)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64))) (pow.f64 A #s(literal 6 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 A A)) (+.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 A #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) A)) |
(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
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(+.f64 (*.f64 A #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) A)) |
(- (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow A 3))) (* 1/2 (/ 1 A)))) (* 2 A)) |
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(- (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow A 5))) (* 1/8 (/ 1 (pow A 3))))) (* 1/2 (/ 1 A)))) (* 2 A)) |
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(* -1 B) |
(-.f64 #s(literal 0 binary64) B) |
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(* B (- (* -1/2 (/ (pow A 2) (pow B 2))) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 A A) #s(literal -1/2 binary64)) B) B) (-.f64 #s(literal -1 binary64) (/.f64 A B)))) |
(* B (- (* 1/8 (/ (pow A 4) (pow B 4))) (+ 1 (+ (* 1/2 (/ (pow A 2) (pow B 2))) (/ A B))))) |
(*.f64 B (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 A #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 A A) #s(literal -1/2 binary64)) B) B) (-.f64 #s(literal -1 binary64) (/.f64 A B))))) |
B |
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(*.f64 B (-.f64 #s(literal 1 binary64) (/.f64 A B))) |
(* -1 (* B (- (* -1 (/ (- (* 1/2 (/ (pow A 2) B)) A) B)) 1))) |
(*.f64 B (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 A A) #s(literal 1/2 binary64)) B) A) B) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(* -1 (* B (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow A 4) (pow B 2))) (* 1/2 (pow A 2))) B)) A) B)) 1))) |
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(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
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(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
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(/ (PI) (atan (* 1/2 (/ B A)))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
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(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
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(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
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(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
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(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
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(* 180 (/ (atan (* 1/2 (/ B (- A C)))) (PI))) |
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(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* -1/2 (/ B (- C A))) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(+ (* 1/2 (/ B A)) (* 1/2 (/ (* B C) (pow A 2)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 B A) (/.f64 (*.f64 B (/.f64 C A)) A))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* 1/2 (/ (* B C) (pow A 3)))))) |
(+.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) (*.f64 (*.f64 C #s(literal 1/2 binary64)) (+.f64 (/.f64 B (*.f64 A A)) (*.f64 C (/.f64 B (*.f64 A (*.f64 A A))))))) |
(+ (* 1/2 (/ B A)) (* C (+ (* 1/2 (/ B (pow A 2))) (* C (+ (* 1/2 (/ B (pow A 3))) (* 1/2 (/ (* B C) (pow A 4)))))))) |
(+.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) (*.f64 C (+.f64 (/.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) A) (*.f64 (*.f64 C #s(literal 1/2 binary64)) (+.f64 (/.f64 B (*.f64 A (*.f64 A A))) (/.f64 (*.f64 B C) (pow.f64 A #s(literal 4 binary64)))))))) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(/ (+ (* -1/2 B) (* -1/2 (/ (* A B) C))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 B (/.f64 (*.f64 A B) C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (* -1/2 (/ (* (pow A 2) B) (pow C 2))))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 B (/.f64 (*.f64 A B) C)) (/.f64 (*.f64 A (*.f64 A B)) (*.f64 C C)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/2 (/ (* A B) C)) (+ (* -1/2 (/ (* (pow A 2) B) (pow C 2))) (* -1/2 (/ (* (pow A 3) B) (pow C 3)))))) C) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 B (/.f64 (*.f64 A B) C)) (+.f64 (/.f64 (*.f64 A (*.f64 A B)) (*.f64 C C)) (/.f64 (*.f64 A (*.f64 A (*.f64 A B))) (*.f64 C (*.f64 C C)))))) C) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* -1 (/ (+ (* 1/2 B) (* 1/2 (/ (* A B) C))) C)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 B (/.f64 (*.f64 A B) C))) C) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* A B)) (* -1/2 (/ (* (pow A 2) B) C))) C)) (* 1/2 B)) C)) |
(/.f64 (+.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 A B) (/.f64 (*.f64 A (*.f64 A B)) C))) C)) (-.f64 #s(literal 0 binary64) C)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow A 2) B)) (* 1/2 (/ (* (pow A 3) B) C))) C)) (* -1/2 (* A B))) C)) (* 1/2 B)) C)) |
(/.f64 (-.f64 (*.f64 B #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 A (*.f64 B #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 A (*.f64 A B)) (*.f64 B (/.f64 (*.f64 A (*.f64 A A)) C)))) C)) C)) (-.f64 #s(literal 0 binary64) C)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(+ (* -1/2 (/ B C)) (* -1/2 (/ (* A B) (pow C 2)))) |
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B C) (/.f64 (/.f64 (*.f64 A B) C) C))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* -1/2 (/ (* A B) (pow C 3)))))) |
(+.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) (*.f64 A (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 B (*.f64 C C)) (/.f64 (/.f64 (/.f64 (*.f64 A B) C) C) C))))) |
(+ (* -1/2 (/ B C)) (* A (+ (* -1/2 (/ B (pow C 2))) (* A (+ (* -1/2 (/ B (pow C 3))) (* -1/2 (/ (* A B) (pow C 4)))))))) |
(+.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) (*.f64 A (+.f64 (/.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C) C) (*.f64 (*.f64 A #s(literal -1/2 binary64)) (+.f64 (/.f64 B (*.f64 C (*.f64 C C))) (/.f64 (*.f64 A B) (pow.f64 C #s(literal 4 binary64)))))))) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(/ (+ (* 1/2 B) (* 1/2 (/ (* B C) A))) A) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (*.f64 B (/.f64 C A)))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (* 1/2 (/ (* B (pow C 2)) (pow A 2))))) A) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (/.f64 (*.f64 B (+.f64 C (/.f64 (*.f64 C C) A))) A))) A) |
(/ (+ (* 1/2 B) (+ (* 1/2 (/ (* B C) A)) (+ (* 1/2 (/ (* B (pow C 2)) (pow A 2))) (* 1/2 (/ (* B (pow C 3)) (pow A 3)))))) A) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (/.f64 (*.f64 B (+.f64 C (/.f64 (*.f64 C C) A))) A))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 B (*.f64 C (*.f64 C C)))) (*.f64 A (*.f64 A A)))) A) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
(* -1 (/ (+ (* -1/2 B) (* -1/2 (/ (* B C) A))) A)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 B (*.f64 B (/.f64 C A)))) A) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* B C)) (* 1/2 (/ (* B (pow C 2)) A))) A)) (* -1/2 B)) A)) |
(/.f64 (+.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (+.f64 C (/.f64 (*.f64 C C) A)))) A)) (-.f64 #s(literal 0 binary64) A)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* B (pow C 2))) (* -1/2 (/ (* B (pow C 3)) A))) A)) (* 1/2 (* B C))) A)) (* -1/2 B)) A)) |
(/.f64 (-.f64 (*.f64 B #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 B (*.f64 C #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B (+.f64 (*.f64 C C) (/.f64 (*.f64 C (*.f64 C C)) A))) A))) A)) (-.f64 #s(literal 0 binary64) A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* B (- C A)) |
(*.f64 B (-.f64 C A)) |
(* -1 (* A B)) |
(-.f64 #s(literal 0 binary64) (*.f64 A B)) |
(+ (* -1 (* A B)) (* B C)) |
(*.f64 B (-.f64 C A)) |
(+ (* -1 (* A B)) (* B C)) |
(*.f64 B (-.f64 C A)) |
(+ (* -1 (* A B)) (* B C)) |
(*.f64 B (-.f64 C A)) |
(* B C) |
(*.f64 B C) |
(* C (+ B (* -1 (/ (* A B) C)))) |
(*.f64 C (-.f64 B (/.f64 (*.f64 A B) C))) |
(* C (+ B (* -1 (/ (* A B) C)))) |
(*.f64 C (-.f64 B (/.f64 (*.f64 A B) C))) |
(* C (+ B (* -1 (/ (* A B) C)))) |
(*.f64 C (-.f64 B (/.f64 (*.f64 A B) C))) |
(* B C) |
(*.f64 B C) |
(* -1 (* C (+ (* -1 B) (/ (* A B) C)))) |
(*.f64 C (-.f64 B (/.f64 (*.f64 A B) C))) |
(* -1 (* C (+ (* -1 B) (/ (* A B) C)))) |
(*.f64 C (-.f64 B (/.f64 (*.f64 A B) C))) |
(* -1 (* C (+ (* -1 B) (/ (* A B) C)))) |
(*.f64 C (-.f64 B (/.f64 (*.f64 A B) C))) |
(* B C) |
(*.f64 B C) |
(+ (* -1 (* A B)) (* B C)) |
(*.f64 B (-.f64 C A)) |
(+ (* -1 (* A B)) (* B C)) |
(*.f64 B (-.f64 C A)) |
(+ (* -1 (* A B)) (* B C)) |
(*.f64 B (-.f64 C A)) |
(* -1 (* A B)) |
(-.f64 #s(literal 0 binary64) (*.f64 A B)) |
(* A (+ (* -1 B) (/ (* B C) A))) |
(*.f64 A (*.f64 B (+.f64 #s(literal -1 binary64) (/.f64 C A)))) |
(* A (+ (* -1 B) (/ (* B C) A))) |
(*.f64 A (*.f64 B (+.f64 #s(literal -1 binary64) (/.f64 C A)))) |
(* A (+ (* -1 B) (/ (* B C) A))) |
(*.f64 A (*.f64 B (+.f64 #s(literal -1 binary64) (/.f64 C A)))) |
(* -1 (* A B)) |
(-.f64 #s(literal 0 binary64) (*.f64 A B)) |
(* -1 (* A (+ B (* -1 (/ (* B C) A))))) |
(*.f64 A (*.f64 B (+.f64 #s(literal -1 binary64) (/.f64 C A)))) |
(* -1 (* A (+ B (* -1 (/ (* B C) A))))) |
(*.f64 A (*.f64 B (+.f64 #s(literal -1 binary64) (/.f64 C A)))) |
(* -1 (* A (+ B (* -1 (/ (* B C) A))))) |
(*.f64 A (*.f64 B (+.f64 #s(literal -1 binary64) (/.f64 C A)))) |
Compiled 23894 to 3256 computations (86.4% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1386 | 6 | 1392 |
| Fresh | 3 | 14 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1392 | 27 | 1419 |
| Status | Accuracy | Program |
|---|---|---|
| 40.2% | (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) | |
| 39.9% | (/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) | |
| 28.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) | |
| 26.4% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) | |
| ✓ | 28.4% | (/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| 39.7% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))))) | |
| 26.4% | (*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) | |
| 28.7% | (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) | |
| 61.2% | (*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 61.2% | (*.f64 (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 A (hypot.f64 A B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 28.4% | (*.f64 (atan.f64 (/.f64 (-.f64 (*.f64 A (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 A #s(literal -1/2 binary64)) B))) B) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ✓ | 28.7% | (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 34.5% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) (-.f64 C A))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 41.9% | (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 50.0% | (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 37.8% | (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 36.5% | (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 21.9% | (*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B C)) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ✓ | 40.2% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 26.4% | (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| ✓ | 19.7% | (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 14.8% | (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| ✓ | 18.3% | (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| 31.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 C #s(literal 2 binary64))) B)) (PI.f64))) | |
| 27.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) | |
| ✓ | 28.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 48.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
Compiled 1145 to 572 computations (50% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B C)) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))))) |
(*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 C #s(literal 2 binary64))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 (/.f64 B (-.f64 C A)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (*.f64 A (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 A #s(literal -1/2 binary64)) B))) B) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) (-.f64 C A))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 B A)) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 A (hypot.f64 A B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) (/.f64 (hypot.f64 B (-.f64 C A)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C (hypot.f64 B (-.f64 C A))) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (+.f64 A (hypot.f64 B (-.f64 C A))))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (atan.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (+.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) B) (/.f64 (/.f64 (+.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))) (+.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A)))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
7 calls:
| 31.0ms | C |
| 25.0ms | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 20.0ms | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
| 19.0ms | A |
| 14.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 2 | A |
| 76.0% | 1 | B |
| 80.2% | 2 | C |
| 87.3% | 3 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64))) |
| 87.3% | 3 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) (PI.f64)) |
| 87.3% | 3 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))))) |
| 87.3% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) |
Compiled 105 to 74 computations (29.5% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B C)) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))))) |
(*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 C #s(literal 2 binary64))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 (/.f64 B (-.f64 C A)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (*.f64 A (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 A #s(literal -1/2 binary64)) B))) B) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) (-.f64 C A))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 A (hypot.f64 B A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 B A)) B) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
3 calls:
| 14.0ms | A |
| 12.0ms | B |
| 12.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 3 | B |
| 75.8% | 3 | C |
| 71.7% | 2 | A |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B C)) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (/.f64 #s(literal 0 binary64) B) (/.f64 (*.f64 B #s(literal -1/2 binary64)) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) #s(literal 1/180 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64))))))) |
(*.f64 (atan.f64 (*.f64 (/.f64 (*.f64 B B) (*.f64 B (-.f64 C A))) #s(literal -1/2 binary64))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) C) (*.f64 C #s(literal 2 binary64))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 (/.f64 B (-.f64 C A)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) B))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (*.f64 A (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 A #s(literal -1/2 binary64)) B))) B) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 C A) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 B B)) (-.f64 C A))) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 C A)) (-.f64 C A)) (*.f64 B B)) (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
2 calls:
| 11.0ms | A |
| 11.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 2 | A |
| 70.8% | 5 | C |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
| Outputs |
|---|
(/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 7.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 2 | A |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 7.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 2 | A |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 A C) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64))) |
| Outputs |
|---|
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 7.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 2 | A |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
3 calls:
| 19.0ms | A |
| 6.0ms | B |
| 6.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 3 | C |
| 62.5% | 3 | B |
| 65.7% | 2 | A |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) |
2 calls:
| 11.0ms | C |
| 6.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 2 | A |
| 64.9% | 3 | C |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
3 calls:
| 9.0ms | B |
| 5.0ms | A |
| 5.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 3 | B |
| 64.7% | 5 | C |
| 60.4% | 3 | A |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))) |
1 calls:
| 5.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 5 | C |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64)) #s(literal 180 binary64)) |
(/.f64 #s(literal 180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 5.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 5 | C |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 21.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 5 | C |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 4.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 5 | C |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 4.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.0% | 4 | C |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
2 calls:
| 8.0ms | A |
| 3.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 3 | A |
| 56.4% | 3 | C |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
2 calls:
| 3.0ms | C |
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 4 | B |
| 48.1% | 3 | C |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) |
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 #s(literal 0 binary64) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
3 calls:
| 2.0ms | B |
| 2.0ms | C |
| 2.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.1% | 3 | A |
| 27.5% | 3 | C |
| 43.4% | 3 | B |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
1 calls:
| 17.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.4% | 2 | B |
Compiled 4 to 3 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
3 calls:
| 1.0ms | B |
| 1.0ms | C |
| 1.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.3% | 1 | A |
| 18.3% | 1 | C |
| 18.3% | 1 | B |
Compiled 12 to 9 computations (25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 8.969654802954119e-49 |
| 0.0ms | -0.9999999999966276 | -0.0 |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 121.0ms | 9.896758144482734e+123 | 8.82999513977394e+133 |
| 33.0ms | -1.2410409175942534e+64 | -4.371362191832986e+62 |
| 71.0ms | 38× | 3 | valid |
| 27.0ms | 61× | 2 | valid |
| 20.0ms | 146× | 0 | valid |
| 17.0ms | 27× | 1 | valid |
Compiled 607 to 480 computations (20.9% saved)
ival-atan: 48.0ms (42% of total)backward-pass: 22.0ms (19.3% of total)ival-pow: 11.0ms (9.6% of total)ival-sub: 9.0ms (7.9% of total)ival-div: 7.0ms (6.1% of total)ival-mult: 7.0ms (6.1% of total)ival-sqrt: 5.0ms (4.4% of total)ival-add: 3.0ms (2.6% of total)ival-pi: 2.0ms (1.8% of total)const: 1.0ms (0.9% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -2.0907406594705294e-219 | -2.0991841078717102e-233 |
| 37.0ms | 123× | 0 | valid |
| 6.0ms | 11× | 3 | valid |
| 5.0ms | 16× | 1 | valid |
| 4.0ms | 10× | 2 | valid |
Compiled 352 to 284 computations (19.3% saved)
ival-pow: 5.0ms (21.5% of total)ival-sub: 4.0ms (17.2% of total)ival-div: 3.0ms (12.9% of total)ival-mult: 3.0ms (12.9% of total)backward-pass: 2.0ms (8.6% of total)ival-atan: 2.0ms (8.6% of total)ival-sqrt: 2.0ms (8.6% of total)ival-add: 1.0ms (4.3% of total)ival-pi: 1.0ms (4.3% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 71.0ms | -2.0907406594705294e-219 | -2.0991841078717102e-233 |
| 50.0ms | 125× | 0 | valid |
| 6.0ms | 13× | 2 | valid |
| 5.0ms | 9× | 3 | valid |
| 4.0ms | 13× | 1 | valid |
Compiled 352 to 284 computations (19.3% saved)
ival-pow: 5.0ms (21.7% of total)ival-sub: 4.0ms (17.4% of total)ival-div: 3.0ms (13% of total)ival-mult: 3.0ms (13% of total)ival-sqrt: 2.0ms (8.7% of total)backward-pass: 2.0ms (8.7% of total)ival-atan: 2.0ms (8.7% of total)ival-pi: 1.0ms (4.3% of total)ival-add: 1.0ms (4.3% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -2.0907406594705294e-219 | -2.0991841078717102e-233 |
| 17.0ms | 119× | 0 | valid |
| 13.0ms | 19× | 3 | valid |
| 4.0ms | 9× | 2 | valid |
| 4.0ms | 13× | 1 | valid |
Compiled 352 to 284 computations (19.3% saved)
ival-sub: 6.0ms (21.9% of total)ival-pow: 5.0ms (18.3% of total)ival-div: 4.0ms (14.6% of total)backward-pass: 3.0ms (11% of total)ival-mult: 3.0ms (11% of total)ival-atan: 2.0ms (7.3% of total)ival-sqrt: 2.0ms (7.3% of total)ival-add: 1.0ms (3.7% of total)ival-pi: 1.0ms (3.7% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 56.0ms | -2.0907406594705294e-219 | -2.0991841078717102e-233 |
| 35.0ms | 129× | 0 | valid |
| 9.0ms | 15× | 3 | valid |
| 4.0ms | 9× | 2 | valid |
| 2.0ms | 7× | 1 | valid |
Compiled 352 to 284 computations (19.3% saved)
ival-mult: 20.0ms (48.7% of total)ival-pow: 5.0ms (12.2% of total)ival-sub: 4.0ms (9.7% of total)ival-div: 3.0ms (7.3% of total)ival-sqrt: 2.0ms (4.9% of total)backward-pass: 2.0ms (4.9% of total)ival-atan: 2.0ms (4.9% of total)ival-pi: 1.0ms (2.4% of total)ival-add: 1.0ms (2.4% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 1.838583379011865e-174 | 6.608552390180222e-171 |
| 59.0ms | -5.419392419912746e-237 | -1.4052904892107989e-242 |
| 43.0ms | 34× | 1 | valid |
| 25.0ms | 177× | 0 | valid |
| 22.0ms | 32× | 2 | valid |
| 17.0ms | 29× | 3 | valid |
Compiled 542 to 449 computations (17.2% saved)
ival-div: 40.0ms (45.2% of total)ival-pow: 18.0ms (20.4% of total)ival-sub: 7.0ms (7.9% of total)backward-pass: 6.0ms (6.8% of total)ival-mult: 6.0ms (6.8% of total)ival-atan: 4.0ms (4.5% of total)ival-sqrt: 4.0ms (4.5% of total)ival-add: 2.0ms (2.3% of total)ival-pi: 2.0ms (2.3% of total)const: 1.0ms (1.1% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -7.959949352670466e-84 | -5.026083314880321e-88 |
| 12.0ms | 20× | 2 | valid |
| 11.0ms | 81× | 0 | valid |
| 8.0ms | 13× | 3 | valid |
| 4.0ms | 14× | 1 | valid |
Compiled 272 to 224 computations (17.6% saved)
ival-mult: 6.0ms (22.4% of total)ival-pow: 5.0ms (18.7% of total)ival-sub: 4.0ms (14.9% of total)ival-div: 3.0ms (11.2% of total)backward-pass: 3.0ms (11.2% of total)ival-sqrt: 2.0ms (7.5% of total)ival-atan: 2.0ms (7.5% of total)ival-pi: 1.0ms (3.7% of total)ival-add: 1.0ms (3.7% of total)const: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 93.0ms | 0.057018411510405785 | 3879.36411307858 |
| 54.0ms | -5.419392419912746e-237 | -1.4052904892107989e-242 |
| 36.0ms | -7.027307184891078e-175 | -1.0268056988792072e-176 |
| 32.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 104.0ms | 352× | 0 | valid |
| 47.0ms | 50× | 3 | valid |
| 34.0ms | 77× | 2 | valid |
| 11.0ms | 33× | 1 | valid |
Compiled 928 to 792 computations (14.7% saved)
ival-pow: 36.0ms (32.5% of total)ival-sub: 14.0ms (12.6% of total)ival-div: 12.0ms (10.8% of total)ival-atan: 11.0ms (9.9% of total)ival-mult: 11.0ms (9.9% of total)backward-pass: 10.0ms (9% of total)ival-sqrt: 7.0ms (6.3% of total)ival-add: 5.0ms (4.5% of total)ival-pi: 3.0ms (2.7% of total)const: 2.0ms (1.8% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 78.0ms | 0.057018411510405785 | 3879.36411307858 |
| 44.0ms | -5.419392419912746e-237 | -1.4052904892107989e-242 |
| 57.0ms | -7.027307184891078e-175 | -1.0268056988792072e-176 |
| 38.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 67.0ms | 45× | 3 | valid |
| 61.0ms | 66× | 2 | valid |
| 60.0ms | 362× | 0 | valid |
| 12.0ms | 39× | 1 | valid |
Compiled 928 to 792 computations (14.7% saved)
ival-mult: 55.0ms (34.3% of total)backward-pass: 30.0ms (18.7% of total)ival-pow: 18.0ms (11.2% of total)ival-add: 15.0ms (9.4% of total)ival-sub: 13.0ms (8.1% of total)ival-div: 12.0ms (7.5% of total)ival-sqrt: 7.0ms (4.4% of total)ival-atan: 6.0ms (3.7% of total)ival-pi: 3.0ms (1.9% of total)const: 2.0ms (1.2% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 0.057018411510405785 | 3879.36411307858 |
| 63.0ms | -5.419392419912746e-237 | -1.4052904892107989e-242 |
| 40.0ms | -7.027307184891078e-175 | -1.0268056988792072e-176 |
| 51.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 84.0ms | 360× | 0 | valid |
| 40.0ms | 46× | 3 | valid |
| 38.0ms | 70× | 2 | valid |
| 11.0ms | 36× | 1 | valid |
Compiled 928 to 792 computations (14.7% saved)
ival-pow: 41.0ms (32.3% of total)ival-sub: 25.0ms (19.7% of total)backward-pass: 16.0ms (12.6% of total)ival-div: 12.0ms (9.4% of total)ival-mult: 11.0ms (8.7% of total)ival-sqrt: 7.0ms (5.5% of total)ival-atan: 7.0ms (5.5% of total)ival-add: 4.0ms (3.1% of total)ival-pi: 3.0ms (2.4% of total)const: 2.0ms (1.6% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 0.057018411510405785 | 3879.36411307858 |
| 33.0ms | -5.419392419912746e-237 | -1.4052904892107989e-242 |
| 33.0ms | -7.027307184891078e-175 | -1.0268056988792072e-176 |
| 36.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 58.0ms | 45× | 3 | valid |
| 45.0ms | 317× | 0 | valid |
| 31.0ms | 71× | 2 | valid |
| 16.0ms | 31× | 1 | valid |
Compiled 844 to 720 computations (14.7% saved)
backward-pass: 40.0ms (35.7% of total)ival-pow: 16.0ms (14.3% of total)ival-sub: 12.0ms (10.7% of total)ival-div: 11.0ms (9.8% of total)ival-mult: 10.0ms (8.9% of total)ival-sqrt: 8.0ms (7.1% of total)ival-atan: 6.0ms (5.4% of total)ival-add: 4.0ms (3.6% of total)ival-pi: 3.0ms (2.7% of total)const: 1.0ms (0.9% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 0.057018411510405785 | 3879.36411307858 |
| 33.0ms | -5.419392419912746e-237 | -1.4052904892107989e-242 |
| 34.0ms | -7.027307184891078e-175 | -1.0268056988792072e-176 |
| 46.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 48.0ms | 325× | 0 | valid |
| 37.0ms | 53× | 3 | valid |
| 29.0ms | 66× | 2 | valid |
| 11.0ms | 36× | 1 | valid |
Compiled 872 to 744 computations (14.7% saved)
ival-pow: 17.0ms (18.7% of total)ival-sub: 16.0ms (17.6% of total)backward-pass: 14.0ms (15.4% of total)ival-div: 12.0ms (13.2% of total)ival-mult: 10.0ms (11% of total)ival-sqrt: 7.0ms (7.7% of total)ival-atan: 6.0ms (6.6% of total)ival-add: 4.0ms (4.4% of total)ival-pi: 3.0ms (3.3% of total)const: 2.0ms (2.2% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1699769893.784202 | 4596753221.330941 |
| 64.0ms | -7.027307184891078e-175 | -1.0268056988792072e-176 |
| 68.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 66.0ms | 205× | 0 | valid |
| 21.0ms | 36× | 3 | valid |
| 15.0ms | 33× | 2 | valid |
| 9.0ms | 30× | 1 | valid |
Compiled 564 to 480 computations (14.9% saved)
ival-pow: 19.0ms (31% of total)ival-sub: 8.0ms (13% of total)ival-div: 7.0ms (11.4% of total)backward-pass: 6.0ms (9.8% of total)ival-mult: 6.0ms (9.8% of total)ival-sqrt: 4.0ms (6.5% of total)ival-atan: 4.0ms (6.5% of total)ival-add: 3.0ms (4.9% of total)ival-pi: 2.0ms (3.3% of total)const: 1.0ms (1.6% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 7.163570747710992e-44 | 2.7780611784743875e-40 |
| 43.0ms | -8.25203961899871e-33 | -2.1539346055171575e-34 |
| 29.0ms | 36× | 2 | valid |
| 25.0ms | 152× | 0 | valid |
| 21.0ms | 35× | 3 | valid |
| 5.0ms | 17× | 1 | valid |
Compiled 452 to 384 computations (15% saved)
ival-mult: 19.0ms (32.2% of total)ival-pow: 9.0ms (15.3% of total)ival-sub: 7.0ms (11.9% of total)ival-div: 6.0ms (10.2% of total)backward-pass: 6.0ms (10.2% of total)ival-sqrt: 4.0ms (6.8% of total)ival-atan: 3.0ms (5.1% of total)ival-add: 2.0ms (3.4% of total)const: 1.0ms (1.7% of total)ival-pi: 1.0ms (1.7% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1777650185541.5205 | 2109219920005.7937 |
| 47.0ms | -3.544102896861151e-260 | -2.1456268337905776e-261 |
| 53.0ms | -86492.46624508568 | -1.04372063376904e-5 |
| 48.0ms | 80× | 2 | valid |
| 30.0ms | 36× | 3 | valid |
| 26.0ms | 191× | 0 | valid |
| 4.0ms | 13× | 1 | valid |
Compiled 540 to 478 computations (11.5% saved)
ival-pow: 26.0ms (31.1% of total)ival-sub: 16.0ms (19.1% of total)ival-div: 8.0ms (9.6% of total)backward-pass: 8.0ms (9.6% of total)ival-mult: 8.0ms (9.6% of total)ival-atan: 6.0ms (7.2% of total)ival-sqrt: 5.0ms (6% of total)ival-add: 3.0ms (3.6% of total)ival-pi: 2.0ms (2.4% of total)const: 1.0ms (1.2% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1777650185541.5205 | 2109219920005.7937 |
| 46.0ms | -4.120396389587985e+22 | -29179285459607212.0 |
| 34.0ms | 129× | 0 | valid |
| 19.0ms | 43× | 2 | valid |
| 5.0ms | 16× | 1 | valid |
| 2.0ms | 4× | 3 | valid |
Compiled 320 to 288 computations (10% saved)
ival-div: 21.0ms (44.2% of total)ival-pow: 6.0ms (12.6% of total)ival-sub: 5.0ms (10.5% of total)ival-mult: 4.0ms (8.4% of total)ival-sqrt: 3.0ms (6.3% of total)backward-pass: 3.0ms (6.3% of total)ival-add: 2.0ms (4.2% of total)ival-atan: 2.0ms (4.2% of total)const: 1.0ms (2.1% of total)ival-pi: 1.0ms (2.1% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 4.6942566439951186e-116 | 6.541089186655184e-106 |
| 32.0ms | -2.7626276095957076e-147 | -1.0763206152229094e-147 |
| 46.0ms | 139× | 0 | valid |
| 35.0ms | 48× | 3 | valid |
| 26.0ms | 47× | 2 | valid |
| 2.0ms | 6× | 1 | valid |
Compiled 332 to 324 computations (2.4% saved)
ival-mult: 34.0ms (37.9% of total)ival-div: 14.0ms (15.6% of total)ival-pow: 10.0ms (11.1% of total)ival-sub: 8.0ms (8.9% of total)ival-add: 7.0ms (7.8% of total)backward-pass: 7.0ms (7.8% of total)ival-sqrt: 4.0ms (4.5% of total)ival-atan: 3.0ms (3.3% of total)const: 1.0ms (1.1% of total)ival-pi: 1.0ms (1.1% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 65.0ms | 4.6942566439951186e-116 | 6.541089186655184e-106 |
| 27.0ms | 93× | 0 | valid |
| 17.0ms | 30× | 3 | valid |
| 15.0ms | 34× | 2 | valid |
| 1.0ms | 3× | 1 | valid |
Compiled 232 to 224 computations (3.4% saved)
ival-pow: 7.0ms (21% of total)ival-sub: 5.0ms (15% of total)backward-pass: 5.0ms (15% of total)ival-div: 4.0ms (12% of total)ival-mult: 4.0ms (12% of total)ival-sqrt: 3.0ms (9% of total)ival-add: 2.0ms (6% of total)ival-atan: 2.0ms (6% of total)const: 1.0ms (3% of total)ival-pi: 1.0ms (3% of total)| 1× | egg-herbie |
| 312× | distribute-lft-neg-in_binary64 |
| 168× | neg-mul-1_binary64 |
| 164× | neg-sub0_binary64 |
| 152× | sub-neg_binary64 |
| 136× | cancel-sign-sub_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 839 |
| 1 | 279 | 838 |
| 2 | 316 | 838 |
| 3 | 390 | 838 |
| 4 | 513 | 838 |
| 5 | 700 | 838 |
| 6 | 925 | 838 |
| 7 | 1099 | 838 |
| 8 | 1168 | 838 |
| 9 | 1175 | 838 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 C #s(literal -1120000000000000057493406949199691615662159968294630192473702400 binary64)) (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 10199999999999999449717086128920053799787857776934358825242899416263428944823858252315497946924716866925914447218007108222976 binary64)) (*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 A #s(literal -8074548727315449/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -6041158400760519/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -5723202695457333/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 C #s(literal -5161417819803231/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 C #s(literal 1879667612850941/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 A #s(literal -7874102609218843/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64)))) |
(if (<=.f64 C #s(literal -8535169562012473/5846006549323611672814739330865132078623730171904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal -8019915148164015/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) (if (<=.f64 C #s(literal -3378382572962115/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 85 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))))))) |
(if (<=.f64 C #s(literal -6430607204255973/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal -6237711781905345/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal -6781692447894871/1832889850782397517082802171755189663406191307018921761884252780947908096342585866198098193012776216027479008590015982084761399088452696108828481666660133095712823955710669574545075280734654641679682560526831695838459555430831205351382962374814354898944 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 3400 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (/.f64 (PI.f64) #s(literal 180 binary64))))))) |
(if (<=.f64 C #s(literal -1205738850797995/730750818665451459101842416358141509827966271488 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal -1247542356381069/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal -8888899925304765/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 3715469692580659/1125899906842624 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))))))) |
(if (<=.f64 C #s(literal -2572242881702389/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal -6594152455157079/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 C #s(literal -375375841440235/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 3332663724254167/9007199254740992 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) B) C)) (/.f64 #s(literal 180 binary64) (PI.f64))))))) |
(if (<=.f64 C #s(literal -3624524060580639/5846006549323611672814739330865132078623730171904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal -6237711781905345/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 C #s(literal -6598403462816631/14663118806259180136662417374041517307249530456151374095074022247583264770740686929584785544102209728219832068720127856678091192707621568870627853333281064765702591645685356596360602245877237133437460484214653566707676443446649642811063698998514839191552 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 860 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))))))) |
(if (<=.f64 C #s(literal -4676805239458889/5846006549323611672814739330865132078623730171904 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal -5881271108653611/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 C #s(literal 1750000000 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64)))))) |
(if (<=.f64 C #s(literal -4559885108472417/11692013098647223345629478661730264157247460343808 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (if (<=.f64 C #s(literal 6080942306155847/98079714615416886934934209737619787751599303819750539264 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal -1/2 binary64) C))) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 B #s(literal -5418731071652181/1152921504606846976 binary64)) (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 B #s(literal -7062951320071419/276978483140055660679575521154310658598553426872826080593424264214176807023660163124123274254828011726923049202224793480793868237276543994954010579940377664898144237780470377568655909939538265926807969022980227546033961457550130800932105433260772020185747203501713259671584768 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 B #s(literal 2000000000000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64)))))) |
(if (<=.f64 B #s(literal -115000000000000000000 binary64)) (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 B #s(literal 1950000000000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 B #s(literal -3779087587416285/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 B #s(literal 3305279843951243/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 B #s(literal 2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal -1/2 binary64)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 B (-.f64 C A))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 C #s(literal -1120000000000000057493406949199691615662159968294630192473702400 binary64)) (*.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (-.f64 #s(literal 0 binary64) B))))) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 C #s(literal 10199999999999999449717086128920053799787857776934358825242899416263428944823858252315497946924716866925914447218007108222976 binary64)) (*.f64 (neg.f64 (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 C #s(literal -1120000000000000057493406949199691615662159968294630192473702400 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 B (+.f64 B C))))) (if (<=.f64 C #s(literal 10199999999999999449717086128920053799787857776934358825242899416263428944823858252315497946924716866925914447218007108222976 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (+.f64 A (hypot.f64 A B)) B)))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))))) |
(if (<=.f64 A #s(literal -8074548727315449/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -8074548727315449/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (/.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 1/180 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) |
(if (<=.f64 A #s(literal -6041158400760519/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -6041158400760519/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal 180 binary64))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) |
(if (<=.f64 A #s(literal -5723202695457333/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (*.f64 (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 180 binary64)) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -5723202695457333/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 B (/.f64 (-.f64 A C) #s(literal 1/2 binary64)))) (PI.f64))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) |
(if (<=.f64 A #s(literal -203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 A #s(literal -203690373709853/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))))) |
(if (<=.f64 C #s(literal -5161417819803231/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) #s(literal 1 binary64))) (PI.f64))) (if (<=.f64 C #s(literal 1879667612850941/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) (*.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B))) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 C #s(literal -5161417819803231/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) (if (<=.f64 C #s(literal 1879667612850941/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (*.f64 B (/.f64 #s(literal 1/2 binary64) (-.f64 A C))))))) |
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(if (<=.f64 B #s(literal -115000000000000000000 binary64)) (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 B #s(literal 1950000000000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 B #s(literal -115000000000000000000 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal 1 binary64))) (if (<=.f64 B #s(literal 1950000000000 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 C #s(literal 2 binary64)) B)) (PI.f64))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal -1 binary64))))) |
(if (<=.f64 B #s(literal -3779087587416285/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) (*.f64 (atan.f64 #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (if (<=.f64 B #s(literal 3305279843951243/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))))) |
(if (<=.f64 B #s(literal -3779087587416285/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal 1 binary64))) (if (<=.f64 B #s(literal 3305279843951243/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal -1 binary64))))) |
(if (<=.f64 B #s(literal 2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (*.f64 (atan.f64 #s(literal 0 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64)))) |
(if (<=.f64 B #s(literal 2432685965148115/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal -1 binary64)))) |
(*.f64 (atan.f64 #s(literal -1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 #s(literal -1 binary64))) |
| 6302× | *-lowering-*.f32 |
| 6302× | *-lowering-*.f64 |
| 6198× | *-lowering-*.f32 |
| 6198× | *-lowering-*.f64 |
| 5340× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1200 | 9778 |
| 1 | 3987 | 8335 |
| 0 | 8768 | 8335 |
| 0 | 25 | 81 |
| 1 | 175 | 68 |
| 2 | 1553 | 68 |
| 0 | 8597 | 68 |
| 0 | 41 | 200 |
| 1 | 247 | 190 |
| 2 | 2210 | 185 |
| 0 | 10173 | 185 |
| 0 | 19 | 22 |
| 1 | 39 | 16 |
| 2 | 89 | 13 |
| 3 | 251 | 13 |
| 4 | 861 | 13 |
| 5 | 2831 | 13 |
| 6 | 5726 | 13 |
| 7 | 6855 | 13 |
| 8 | 7691 | 13 |
| 0 | 8055 | 13 |
| 0 | 689 | 5326 |
| 1 | 2275 | 4171 |
| 2 | 7741 | 4039 |
| 0 | 8113 | 4039 |
| 0 | 37 | 158 |
| 1 | 222 | 134 |
| 2 | 1773 | 133 |
| 0 | 8364 | 133 |
| 0 | 950 | 9592 |
| 1 | 3162 | 8296 |
| 0 | 8365 | 8296 |
| 0 | 39 | 183 |
| 1 | 210 | 168 |
| 2 | 1657 | 165 |
| 0 | 8836 | 165 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2668 to 1671 computations (37.4% saved)
Compiled 1766 to 480 computations (72.8% saved)
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