
Time bar (total: 14.2s)
| 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 25 to 20 computations (20% saved)
| 718.0ms | 5 545× | 0 | valid |
| 561.0ms | 1 626× | 2 | valid |
| 251.0ms | 1 044× | 1 | valid |
| 43.0ms | 40× | 3 | valid |
| 0.0ms | 1× | 4 | valid |
ival-pow2: 283.0ms (21.9% of total)ival-div: 232.0ms (18% of total)ival-mult: 192.0ms (14.9% of total)ival-sub: 179.0ms (13.9% of total)ival-sqrt: 104.0ms (8.1% of total)ival-atan: 92.0ms (7.1% of total)adjust: 90.0ms (7% of total)ival-add: 63.0ms (4.9% of total)ival-pi: 36.0ms (2.8% of total)exact: 10.0ms (0.8% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 4 768× | accelerator-lowering-fma.f32 |
| 4 768× | accelerator-lowering-fma.f64 |
| 1 634× | div-sub |
| 1 004× | *-lowering-*.f32 |
| 1 004× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 242 |
| 1 | 212 | 216 |
| 2 | 609 | 214 |
| 3 | 1852 | 212 |
| 4 | 5606 | 212 |
| 0 | 19 | 23 |
| 1 | 38 | 21 |
| 2 | 81 | 21 |
| 3 | 224 | 21 |
| 4 | 600 | 21 |
| 5 | 1295 | 21 |
| 6 | 2142 | 21 |
| 7 | 3279 | 21 |
| 8 | 4098 | 21 |
| 9 | 4478 | 21 |
| 10 | 4562 | 21 |
| 11 | 4616 | 21 |
| 12 | 4654 | 21 |
| 13 | 4758 | 21 |
| 14 | 4790 | 21 |
| 15 | 4790 | 21 |
| 16 | 4790 | 21 |
| 0 | 4790 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 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) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) 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))) |
(* (atan (/ (- (- C A) (sqrt (+ (pow (- C A) 2) (* B B)))) B)) (/ 180 (PI))) |
(* 180 (/ (atan (* (/ 1 B) (- (- C (neg A)) (sqrt (+ (pow (- (neg A) C) 2) (pow B 2)))))) (PI))) |
(* (atan (/ (- (+ C A) (sqrt (+ (* B B) (pow (+ C A) 2)))) B)) (/ 180 (PI))) |
(* 180 (/ (atan (* (/ 1 (neg B)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow (neg B) 2)))))) (PI))) |
(* (atan (/ (+ (- A C) (sqrt (+ (pow (- C A) 2) (* B B)))) B)) (/ 180 (PI))) |
(* 180 (/ (atan (* (/ 1 B) (- (- (neg C) A) (sqrt (+ (pow (- A (neg C)) 2) (pow B 2)))))) (PI))) |
(* (atan (/ (- (- (neg A) C) (sqrt (+ (* B B) (pow (+ C A) 2)))) B)) (/ 180 (PI))) |
(neg (* 180 (/ (atan (* (/ 1 B) (- (- C (neg A)) (sqrt (+ (pow (- (neg A) C) 2) (pow B 2)))))) (PI)))) |
(* (atan (/ (- (+ C A) (sqrt (+ (* B B) (pow (+ C A) 2)))) B)) (/ -180 (PI))) |
(neg (* 180 (/ (atan (* (/ 1 (neg B)) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow (neg B) 2)))))) (PI)))) |
(* (atan (/ (+ (- A C) (sqrt (+ (pow (- C A) 2) (* B B)))) B)) (/ -180 (PI))) |
(neg (* 180 (/ (atan (* (/ 1 B) (- (- (neg C) A) (sqrt (+ (pow (- A (neg C)) 2) (pow B 2)))))) (PI)))) |
(* (atan (/ (- (- (neg A) C) (sqrt (+ (* B B) (pow (+ C A) 2)))) B)) (/ -180 (PI))) |
(* 180 (/ (atan (* (/ 1 A) (- (- C B) (sqrt (+ (pow (- B C) 2) (pow A 2)))))) (PI))) |
(* (atan (/ (- (- C B) (sqrt (+ (pow (- B C) 2) (* A A)))) A)) (/ 180 (PI))) |
(* 180 (/ (atan (* (/ 1 B) (- (- A C) (sqrt (+ (pow (- C A) 2) (pow B 2)))))) (PI))) |
(* (atan (/ (- (- A C) (sqrt (+ (pow (- C A) 2) (* B B)))) B)) (/ 180 (PI))) |
(* 180 (/ (atan (* (/ 1 C) (- (- B A) (sqrt (+ (pow (- A B) 2) (pow C 2)))))) (PI))) |
(* (atan (/ (- (- B A) (sqrt (+ (pow (- A B) 2) (* C C)))) C)) (/ 180 (PI))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 146 | 0 | - | 1 | (9.470051440337847e-162 1.6799171477714827e-292 3.19754858019651e-166) | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 39 | 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))))) |
| 17 | 0 | - | 4 | (-6.228290061949771e+68 1.454144731766964e-124 4.968592493294606e-65) | (*.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 | - | A |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | C |
| 0 | 0 | - | 0 | - | (-.f64 A C) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (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 | - | (-.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 | - | #s(literal 180 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| 0 | 1 | (-3.076757499343425e+38 2.707472479049586e-286 -3.5310538262297025e+20) | 0 | - | (*.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 | - | #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 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) B) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | oflow-rescue | 143 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | overflow | 70 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | overflow | 109 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | overflow | 143 | |
-.f64 | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) | cancellation | 39 | 0 |
*.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)))))) | n*u | 13 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) | uflow-rescue | 2 | 0 |
| ↳ | (pow.f64 B #s(literal 2 binary64)) | underflow | 58 | |
| ↳ | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) | underflow | 16 | |
| ↳ | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) | underflow | 2 | |
*.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))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 129 | 0 |
| - | 46 | 81 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 129 | 0 | 0 |
| - | 46 | 0 | 81 |
| number | freq |
|---|---|
| 0 | 81 |
| 1 | 152 |
| 2 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 98.0ms | 362× | 0 | valid |
| 36.0ms | 96× | 2 | valid |
| 14.0ms | 54× | 1 | valid |
Compiled 332 to 80 computations (75.9% saved)
ival-div: 33.0ms (28.1% of total)ival-sqrt: 31.0ms (26.4% of total)ival-pow2: 15.0ms (12.8% of total)ival-sub: 10.0ms (8.5% of total)ival-mult: 9.0ms (7.7% of total)ival-atan: 7.0ms (6% of total)adjust: 5.0ms (4.3% of total)ival-add: 3.0ms (2.6% of total)ival-pi: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-true: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.4% | (*.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 26 to 19 computations (26.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))) |
| ✓ | cost-diff | 320 | (*.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 | 5952 | (pow.f64 (-.f64 A C) #s(literal 2 binary64)) |
| ✓ | cost-diff | 6144 | (pow.f64 B #s(literal 2 binary64)) |
| 4 768× | accelerator-lowering-fma.f32 |
| 4 768× | accelerator-lowering-fma.f64 |
| 1 004× | *-lowering-*.f32 |
| 1 004× | *-lowering-*.f64 |
| 940× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 1 | 38 | 130 |
| 2 | 81 | 130 |
| 3 | 224 | 130 |
| 4 | 600 | 130 |
| 5 | 1295 | 130 |
| 6 | 2142 | 130 |
| 7 | 3279 | 130 |
| 8 | 4098 | 130 |
| 9 | 4478 | 130 |
| 10 | 4562 | 130 |
| 11 | 4616 | 130 |
| 12 | 4654 | 130 |
| 13 | 4758 | 130 |
| 14 | 4790 | 130 |
| 15 | 4790 | 130 |
| 16 | 4790 | 130 |
| 0 | 4790 | 99 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) 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 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) 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 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (pow (- A C) 2) (pow B 2))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(+ (pow (- A C) 2) (pow B 2)) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.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)) |
| ✓ | accuracy | 94.3% | (*.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)))))) |
| ✓ | accuracy | 86.7% | (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64))))) |
| ✓ | accuracy | 47.3% | (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) #s(literal 2 binary64)) (pow.f64 B #s(literal 2 binary64)))) |
| 25.0ms | 181× | 0 | valid |
| 19.0ms | 48× | 2 | valid |
| 7.0ms | 27× | 1 | valid |
Compiled 140 to 21 computations (85% saved)
ival-pow2: 7.0ms (20% of total)ival-sub: 5.0ms (14.3% of total)ival-div: 5.0ms (14.3% of total)ival-sqrt: 5.0ms (14.3% of total)ival-mult: 4.0ms (11.4% of total)ival-atan: 3.0ms (8.6% of total)adjust: 2.0ms (5.7% of total)ival-add: 2.0ms (5.7% of total)ival-pi: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow B 2)> |
#<alt (pow (- A C) 2)> |
#<alt (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))> |
#<alt (+ (pow (- A C) 2) (pow B 2))> |
#<alt (sqrt (+ (pow (- A C) 2) (pow B 2)))> |
#<alt (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))> |
#<alt (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (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 (/ (- (* 2 C) (* 2 A)) B)> |
#<alt (/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B)> |
#<alt (/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B)> |
#<alt (/ (- (+ (* 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)> |
#<alt -1> |
#<alt (- (/ C B) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))> |
#<alt (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- A C) 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 (- A C) 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- C A)) (* -1 (/ (+ (* -1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 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 (+ (pow B 2) (pow C 2))> |
#<alt (+ (* -2 (* A C)) (+ (pow B 2) (pow C 2)))> |
#<alt (+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2)))> |
#<alt (+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2)))> |
#<alt (pow A 2)> |
#<alt (* (pow A 2) (+ 1 (* -2 (/ C A))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2))))))> |
#<alt (* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (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 B 2) (pow C 2)) A)) (* 2 C)) A))))> |
#<alt (* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A))))> |
#<alt (+ (pow A 2) (pow B 2))> |
#<alt (+ (* -2 (* A C)) (+ (pow A 2) (pow B 2)))> |
#<alt (+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2)))> |
#<alt (+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 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)) (/ (pow B 2) (pow C 2))))))> |
#<alt (* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 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) (pow B 2)) C)) (* 2 A)) C))))> |
#<alt (* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C))))> |
#<alt (pow (- A C) 2)> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (+ (pow B 2) (pow (- A C) 2))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2))))> |
#<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)))))))> |
#<alt (+ (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 (+ (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))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C)))))> |
#<alt (- A C)> |
#<alt (- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C)> |
#<alt (- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C)> |
#<alt (- (+ 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)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* 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)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))))> |
#<alt (* -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))))))))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<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)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 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))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<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 (- (* 2 C) (* 2 A))> |
#<alt (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A))> |
#<alt (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A))> |
#<alt (- (+ (* 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))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))))> |
#<alt (* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B)))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ (- C A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1)))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | A | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | B | @ | 0 | (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (PI)) |
| 1.0ms | C | @ | 0 | (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
| 1.0ms | A | @ | 0 | (+ (pow (- A C) 2) (pow B 2)) |
| 1× | batch-egg-rewrite |
| 5 346× | accelerator-lowering-fma.f32 |
| 5 346× | accelerator-lowering-fma.f64 |
| 4 142× | *-lowering-*.f32 |
| 4 142× | *-lowering-*.f64 |
| 3 234× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 80 |
| 1 | 120 | 76 |
| 2 | 983 | 76 |
| 0 | 8632 | 54 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow B 2) |
(pow (- A C) 2) |
(* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2))))) |
(+ (pow (- A C) 2) (pow B 2)) |
(sqrt (+ (pow (- A C) 2) (pow B 2))) |
(- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (pow (- A C) 2) (pow B 2)))))) (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))) |
(/.f64 B (/.f64 #s(literal 1 binary64) B)) |
(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 C (-.f64 C A)) (*.f64 A (-.f64 A C))) |
(+.f64 (*.f64 A (-.f64 A C)) (*.f64 C (-.f64 C A))) |
(+.f64 (*.f64 (-.f64 C A) C) (neg.f64 (*.f64 (-.f64 C A) A))) |
(+.f64 (neg.f64 (*.f64 (-.f64 C A) A)) (*.f64 (-.f64 C A) C)) |
(+.f64 (*.f64 (-.f64 A C) A) (neg.f64 (*.f64 (-.f64 A C) C))) |
(+.f64 (neg.f64 (*.f64 (-.f64 A C) C)) (*.f64 (-.f64 A C) A)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 A C)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (*.f64 (/.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (+.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) |
(*.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 A C) (-.f64 A C) (-.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (neg.f64 (*.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))))) |
(*.f64 (-.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C))) (*.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (fma.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (fma.f64 (-.f64 A C) (neg.f64 (-.f64 A C)) (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) |
(*.f64 (*.f64 (fma.f64 C C (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) C))) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (+.f64 (+.f64 A (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) C))))) |
(*.f64 (*.f64 (+.f64 (+.f64 A C) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 A C) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(neg.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))))) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (PI.f64)))) |
(*.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (cbrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (neg.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 8 978× | accelerator-lowering-fma.f32 |
| 8 978× | accelerator-lowering-fma.f64 |
| 5 826× | *-lowering-*.f32 |
| 5 826× | *-lowering-*.f64 |
| 3 320× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 649 | 4231 |
| 1 | 2024 | 4036 |
| 2 | 6265 | 3996 |
| 0 | 8175 | 3465 |
| 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)))) |
(/ (- (* 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)) |
(+ (pow B 2) (pow C 2)) |
(+ (* -2 (* A C)) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(+ (* A (+ A (* -2 C))) (+ (pow B 2) (pow C 2))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (+ (/ (pow B 2) (pow A 2)) (/ (pow C 2) (pow A 2)))))) |
(pow A 2) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow B 2) (pow C 2)) A)) (* 2 C)) A)))) |
(+ (pow A 2) (pow B 2)) |
(+ (* -2 (* A C)) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 2))) |
(+ (* C (+ C (* -2 A))) (+ (pow A 2) (pow B 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 B 2) (pow C 2)))))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (+ (/ (pow A 2) (pow C 2)) (/ (pow B 2) (pow C 2)))))) |
(pow C 2) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (pow A 2) (pow B 2)) C)) (* 2 A)) C)))) |
(pow (- A C) 2) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(+ (pow B 2) (pow (- A C) 2)) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(pow B 2) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(* (pow B 2) (+ 1 (/ (pow (- A C) 2) (pow B 2)))) |
(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)))))))) |
(* -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)) |
(- (* 2 C) (* 2 A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(- (+ (* 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)) |
(* -1 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- A C) 2) B))) A) B)) 1))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
| 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 (fma.f64 #s(literal -2 binary64) A C)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* A (+ A (* -2 C))) (pow C 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(* (pow A 2) (+ 1 (+ (* -2 (/ C A)) (/ (pow C 2) (pow A 2))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A A)) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64)))) |
(pow A 2) |
(*.f64 A A) |
(* (pow A 2) (+ 1 (* -2 (/ C A)))) |
(*.f64 (*.f64 A A) (fma.f64 #s(literal -2 binary64) (/.f64 C A) #s(literal 1 binary64))) |
(* (pow A 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow C 2) A)) (* 2 C)) A)))) |
(*.f64 (*.f64 A A) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C (/.f64 C (neg.f64 A)) (*.f64 #s(literal 2 binary64) 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 (fma.f64 C (/.f64 C (neg.f64 A)) (*.f64 #s(literal 2 binary64) C)) A))) |
(pow A 2) |
(*.f64 A A) |
(+ (* -2 (* A C)) (pow A 2)) |
(*.f64 A (fma.f64 C #s(literal -2 binary64) A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(+ (* C (+ C (* -2 A))) (pow A 2)) |
(fma.f64 C (fma.f64 #s(literal -2 binary64) A C) (*.f64 A A)) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 A (*.f64 C C)) (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (+ (* -2 (/ A C)) (/ (pow A 2) (pow C 2))))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 A (*.f64 C C)) (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(pow C 2) |
(*.f64 C C) |
(* (pow C 2) (+ 1 (* -2 (/ A C)))) |
(*.f64 C (*.f64 C (fma.f64 #s(literal -2 binary64) (/.f64 A C) #s(literal 1 binary64)))) |
(* (pow C 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow A 2) C)) (* 2 A)) C)))) |
(*.f64 (*.f64 C C) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 A (/.f64 A (neg.f64 C)) (*.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 (fma.f64 A (/.f64 A (neg.f64 C)) (*.f64 #s(literal 2 binary64) A)) C))) |
(/ (- (* 2 C) (* 2 A)) B) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 C A)) B) |
(/ (- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) B) |
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) B) |
(/ (- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C 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) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (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 #s(literal 2 binary64) (-.f64 C A))) B) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) (+ 1 (/ A B))) |
(+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)) |
(- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
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1 |
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(fma.f64 B B (*.f64 C C)) |
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A |
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(* -1 A) |
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(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
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C |
(* C (+ 1 (* -1 (/ A C)))) |
(-.f64 C (*.f64 C (/.f64 A C))) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 C (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (-.f64 #s(literal 1 binary64) (/.f64 A C)))) |
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(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(fma.f64 C (/.f64 A C) (neg.f64 C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) (neg.f64 C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
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(- A C) |
(-.f64 A C) |
(- (+ A (* 1/2 (/ (pow B 2) (- A C)))) C) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)) A) C) |
(- (+ A (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) C) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A 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) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 A C) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C))) (-.f64 A C)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (*.f64 B #s(literal 1/2 binary64)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- A C) 4) (pow B 4))) (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
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(* 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))))))) |
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(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- A C) 2) (pow B 2)))))) |
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(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (neg.f64 A) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
(- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C))) C) |
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(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(neg.f64 (*.f64 C (fma.f64 #s(literal 2 binary64) (/.f64 A C) #s(literal -2 binary64)))) |
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(* -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 (fma.f64 #s(literal -2 binary64) A (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) A) C))) C)) C)) (neg.f64 C)) |
(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
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(* -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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (/.f64 C A)) (+.f64 #s(literal -2 binary64) (/.f64 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))))))) |
(*.f64 A (fma.f64 (*.f64 B B) (*.f64 (/.f64 C (*.f64 A (*.f64 A A))) #s(literal -1/2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 A A)) (/.f64 C A)) (+.f64 #s(literal -2 binary64) (/.f64 C A))))) |
(* 1/2 (/ (pow B 2) A)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 B B (*.f64 C (/.f64 (*.f64 B B) A)))) 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)) |
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(* -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)) |
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(- (* 2 C) (* 2 A)) |
(*.f64 #s(literal 2 binary64) (-.f64 C A)) |
(- (+ (* -1/2 (/ (pow B 2) (- A C))) (* 2 C)) (* 2 A)) |
(fma.f64 #s(literal 2 binary64) (-.f64 C A) (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 A C))) |
(- (+ (* 2 C) (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- A C) 3))) (* 1/2 (/ 1 (- A C)))))) (* 2 A)) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 A C) (*.f64 (-.f64 A C) (-.f64 A C)))) (/.f64 #s(literal -1/2 binary64) (-.f64 A C))) (*.f64 #s(literal 2 binary64) (-.f64 C A))) |
(- (+ (* 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)) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (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 #s(literal 2 binary64) (-.f64 C A))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) (+ 1 (/ A B)))) |
(*.f64 B (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(* B (- (+ (* -1/2 (/ (pow (- A C) 2) (pow B 2))) (/ C B)) (+ 1 (/ A B)))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- A C) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- A C) 2) (pow B 2))) (/ A B))))) |
(*.f64 B (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 A C) (-.f64 A C)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 A C) #s(literal 4 binary64)) (*.f64 (*.f64 B B) (*.f64 B B))) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
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(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- A C) 4) (pow B 2))) (* 1/2 (pow (- A C) 2))) B))) A) B)) 1))) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
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(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- A C) 2))))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 A C) (-.f64 A C))))) B)) (PI.f64)) |
Compiled 27 483 to 4 030 computations (85.3% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 21 | 648 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 628 | 21 | 649 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (*.f64 #s(literal 180 binary64) (/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) | |
| 21.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) | |
| 28.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) | |
| 17.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| ▶ | 45.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
| 46.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) | |
| ▶ | 26.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B)) (PI.f64))) | |
| 24.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (PI.f64))) | |
| 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 54.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| ▶ | 81.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) B))) (PI.f64))) | |
| ▶ | 45.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) | |
| 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)))) (PI.f64))) | |
| 24.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| 12.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) | |
| ▶ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 55.4% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) | |
| 55.4% | (*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
Compiled 864 to 568 computations (34.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (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 | (atan.f64 #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | cost-diff | 4928 | (hypot.f64 (-.f64 C A) B) |
| 5 136× | accelerator-lowering-fma.f32 |
| 5 136× | accelerator-lowering-fma.f64 |
| 1 312× | *-lowering-*.f32 |
| 1 312× | *-lowering-*.f64 |
| 1 028× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 363 |
| 1 | 78 | 355 |
| 2 | 148 | 355 |
| 3 | 340 | 355 |
| 4 | 754 | 355 |
| 5 | 1515 | 355 |
| 6 | 2494 | 355 |
| 7 | 4123 | 355 |
| 8 | 5144 | 355 |
| 9 | 5481 | 355 |
| 10 | 5573 | 355 |
| 11 | 5612 | 355 |
| 12 | 5650 | 355 |
| 13 | 5874 | 355 |
| 14 | 5958 | 355 |
| 15 | 5958 | 355 |
| 16 | 5960 | 355 |
| 17 | 6001 | 355 |
| 18 | 6284 | 355 |
| 0 | 6284 | 251 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
180 |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) |
(* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
(/ 1 B) |
1 |
B |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(- C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(PI) |
(* 180 (/ (atan -1) (PI))) |
180 |
(/ (atan -1) (PI)) |
(atan -1) |
-1 |
(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) |
(* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
180 |
(/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI)) |
(atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
(- C (sqrt (+ (* B B) (* C C)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(+ (* B B) (* C C)) |
B |
(* C C) |
(PI) |
(* 180 (/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI))) |
180 |
(/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI)) |
(atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) |
(* (/ 1 B) (- C (sqrt (+ (* B B) (* C C))))) |
(/ 1 B) |
1 |
B |
(- C (sqrt (+ (* B B) (* C C)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(+ (* B B) (* C C)) |
(* C C) |
(PI) |
| Outputs |
|---|
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (PI.f64)) |
(atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
1 |
#s(literal 1 binary64) |
B |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(PI) |
(PI.f64) |
(* 180 (/ (atan -1) (PI))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan -1) (PI)) |
(/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
(atan -1) |
(atan.f64 #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(PI) |
(PI.f64) |
(* 180 (/ (atan (/ (* B 1/2) A)) (PI))) |
(*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
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) |
(* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (PI.f64)) |
(atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
(- C (sqrt (+ (* B B) (* C C)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (* B B) (* C C)) |
(fma.f64 C C (*.f64 B B)) |
B |
(* C C) |
(*.f64 C C) |
(PI) |
(PI.f64) |
(* 180 (/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (PI.f64)) |
(atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(* (/ 1 B) (- C (sqrt (+ (* B B) (* C C))))) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
1 |
#s(literal 1 binary64) |
B |
(- C (sqrt (+ (* B B) (* C C)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (* B B) (* C C)) |
(fma.f64 C C (*.f64 B B)) |
(* C C) |
(*.f64 C C) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64)) |
| ✓ | accuracy | 93.8% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
| ✓ | accuracy | 91.1% | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
| ✓ | accuracy | 55.4% | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| ✓ | accuracy | 99.9% | (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64)) |
| ✓ | accuracy | 94.1% | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
| ✓ | accuracy | 91.1% | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
| ✓ | accuracy | 55.4% | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| ✓ | accuracy | 99.9% | (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | accuracy | 94.3% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B))) |
| ✓ | accuracy | 86.7% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 46.0ms | 167× | 0 | valid |
| 40.0ms | 56× | 2 | valid |
| 18.0ms | 33× | 1 | valid |
Compiled 317 to 39 computations (87.7% saved)
ival-div: 19.0ms (26.3% of total)ival-mult: 18.0ms (24.9% of total)ival-atan: 11.0ms (15.2% of total)ival-hypot: 8.0ms (11.1% of total)ival-sub: 5.0ms (6.9% of total)adjust: 5.0ms (6.9% of total)ival-sqrt: 3.0ms (4.2% of total)ival-add: 2.0ms (2.8% of total)ival-pi: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ (* (- C A) (- C A)) (* B B)))> |
#<alt (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))> |
#<alt (* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI)))> |
#<alt (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))> |
#<alt (* 180 (/ (atan -1) (PI)))> |
#<alt (/ (atan -1) (PI))> |
#<alt (atan -1)> |
#<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 (* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI)))> |
#<alt (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))> |
#<alt (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B))> |
#<alt (/ (- C (sqrt (+ (* B B) (* C C)))) B)> |
#<alt (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))> |
#<alt (* 180 (/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI)))> |
#<alt (/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI))> |
#<alt (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C))))))> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (sqrt (+ (* B B) (* C C)))> |
#<alt (- C (sqrt (+ (* B B) (* C C))))> |
| Outputs |
|---|
#<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)))))))> |
#<alt (+ (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 (+ (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))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) 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 (- C A)> |
#<alt (- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A)> |
#<alt (- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A)> |
#<alt (- (+ 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)))))) A)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))))> |
#<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)))> |
#<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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) 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 (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
#<alt (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))> |
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#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))> |
#<alt (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))> |
#<alt (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B))> |
#<alt (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))> |
#<alt (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))> |
#<alt (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))> |
#<alt (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B)))> |
#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<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)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 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))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<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)))> |
#<alt C> |
#<alt (+ C (* 1/2 (/ (pow B 2) C)))> |
#<alt (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))))> |
#<alt (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))))> |
#<alt B> |
#<alt (+ B (* 1/2 (/ (pow C 2) B)))> |
#<alt (+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))> |
#<alt (+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B)))))> |
#<alt C> |
#<alt (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))> |
#<alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))))> |
#<alt (* -1 B)> |
#<alt (- C B)> |
#<alt (- (* C (+ 1 (* -1/2 (/ C B)))) B)> |
#<alt (- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B)> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C)> |
#<alt (/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C)> |
#<alt (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C)> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2)))> |
#<alt (* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) 1))> |
#<alt (* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1))> |
#<alt (* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ C B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1)))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | B | @ | 0 | (/ (- C (sqrt (+ (* B B) (* C C)))) B) |
| 3.0ms | B | @ | inf | (/ (* B 1/2) A) |
| 2.0ms | B | @ | inf | (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
| 1.0ms | C | @ | inf | (* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
| 1× | batch-egg-rewrite |
| 4 612× | /-lowering-/.f32 |
| 4 612× | /-lowering-/.f64 |
| 4 350× | *-lowering-*.f32 |
| 4 350× | *-lowering-*.f64 |
| 3 506× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 260 |
| 1 | 197 | 254 |
| 2 | 1487 | 254 |
| 0 | 8254 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))) |
(* 180 (/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI))) |
(/ (atan (* (/ 1 B) (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))))) (PI)) |
(* 180 (/ (atan -1) (PI))) |
(/ (atan -1) (PI)) |
(atan -1) |
(PI) |
(* 180 (/ (atan (/ (* B 1/2) A)) (PI))) |
(/ (atan (/ (* B 1/2) A)) (PI)) |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* 180 (/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI))) |
(/ (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) (PI)) |
(atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
(* (/ 1 B) (- C (sqrt (+ (* B B) (* C C))))) |
(* 180 (/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI))) |
(/ (atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) (PI)) |
(atan (* (/ 1 B) (- C (sqrt (+ (* B B) (* C C)))))) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(sqrt (+ (* B B) (* C C))) |
(- C (sqrt (+ (* B B) (* C C)))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(hypot.f64 (-.f64 C A) B) |
(hypot.f64 (-.f64 C A) (exp.f64 (log.f64 B))) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (exp.f64 (log.f64 B)) (-.f64 C A)) |
(hypot.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) B) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) (exp.f64 (log.f64 B))) |
(fabs.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))) (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))) (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (-.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (*.f64 (*.f64 (-.f64 C A) B) (*.f64 (-.f64 C A) B)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 B B) (*.f64 B B)) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))))) (sqrt.f64 (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B)))))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 (*.f64 B B) (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) C) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) C) (*.f64 #s(literal 1 binary64) C) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (*.f64 (*.f64 #s(literal 1 binary64) C) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 C #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 C #s(literal 1 binary64)) (*.f64 C #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64))) (*.f64 (*.f64 C #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 C (*.f64 C C)) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 C (*.f64 C C)) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (/.f64 (*.f64 C (*.f64 C C)) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (fma.f64 (/.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (/.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (*.f64 (/.f64 (*.f64 C (*.f64 C C)) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))) (/.f64 (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (fma.f64 (/.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 (fma.f64 B B (*.f64 C C)) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))) |
(*.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (-.f64 (fma.f64 B B (*.f64 C C)) (*.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))))) |
(*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))) (/.f64 #s(literal 1 binary64) (-.f64 C (neg.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))) (fma.f64 B B (*.f64 C C))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C))))))) |
| 1× | egg-herbie |
| 9 250× | accelerator-lowering-fma.f32 |
| 9 250× | accelerator-lowering-fma.f64 |
| 6 448× | *-lowering-*.f32 |
| 6 448× | *-lowering-*.f64 |
| 4 604× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 844 | 8701 |
| 1 | 2550 | 8487 |
| 2 | 7745 | 8486 |
| 0 | 8275 | 7011 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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))))) |
(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))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) 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)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* -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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (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)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)) |
(/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (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))) |
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(* 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))) |
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(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
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(* 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))) |
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(* 180 (/ (atan (* 1/2 (/ B A))) (PI))) |
(* 180 (/ (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))) (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))) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 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)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
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(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
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(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
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(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
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(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
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(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
1 |
(+ 1 (/ C B)) |
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(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
(* -1/2 (/ B C)) |
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(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
1 |
(+ 1 (/ C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(* 2 (/ C B)) |
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(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
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(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
(/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI)) |
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(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) 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))) |
C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* -1 B) |
(- C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
(* -1/2 (/ (pow B 2) C)) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(* 2 C) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* -1/2 (/ (pow B 2) C)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* -1 B) |
(* B (- (/ C B) 1)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
| Outputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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)))))))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 C (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B)))))) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 (/.f64 A C) (neg.f64 C) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 B B) (/.f64 A (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C)))) (/.f64 A C)) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 (/.f64 A C) (neg.f64 C) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 (neg.f64 C) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) C) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 A (*.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (fma.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))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 C))) (sqrt.f64 (fma.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)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 C)) (*.f64 A (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C))))))))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 (/.f64 C A) (neg.f64 A) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 C (neg.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))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 (/.f64 C A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A))) A)) (neg.f64 A)) A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) C) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) 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)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.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))) (-.f64 C A)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64))) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal 1/2 binary64))) (*.f64 B B)))) B)) |
(* -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 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* 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 (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal -1/16 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 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 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.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 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.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))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) |
(- (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B))) (+ 1 (/ A B))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (*.f64 B B))) B)) B)) |
(* -1 (/ (+ A (sqrt (+ (pow A 2) (pow B 2)))) B)) |
(neg.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (/.f64 A B) (/.f64 #s(literal 1 binary64) B))) (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) 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))))))))) |
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(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 B B (*.f64 C C))) C) (neg.f64 B))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
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(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
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(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
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(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* 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))))) |
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(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
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(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A) |
(* -1 (/ (- (* -1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A)) |
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(* -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)) |
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(* -1/2 (/ (pow B 2) (- C A))) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) (-.f64 C A)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A))))) |
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(* (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) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal -1/16 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 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) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.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 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))))) (/.f64 #s(literal 1/2 binary64) (-.f64 A C)))) |
(* -1 B) |
(neg.f64 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* B (- (+ (* 1/8 (/ (pow (- C A) 4) (pow B 4))) (/ C B)) (+ 1 (+ (* 1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B))))) |
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B |
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(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
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(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
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C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) C) C) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
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(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal 1/2 binary64) C)) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(*.f64 B (fma.f64 (*.f64 C C) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
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(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) (*.f64 B B)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 C #s(literal 6 binary64))) (pow.f64 B #s(literal 6 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(neg.f64 (*.f64 B (fma.f64 (*.f64 C C) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
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(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
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B |
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(fma.f64 C (*.f64 C (/.f64 #s(literal 1/2 binary64) B)) B) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
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(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 C C) (fma.f64 (*.f64 C C) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 C C) (pow.f64 B #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 B (*.f64 B B)))) (/.f64 #s(literal 1/2 binary64) B)) B) |
C |
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(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
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(* -1 C) |
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(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
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(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
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(* -1 B) |
(neg.f64 B) |
(- C B) |
(-.f64 C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
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(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
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(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 C C))) C) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 C C)) (*.f64 B (*.f64 B #s(literal 1/2 binary64))))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64)) (pow.f64 C #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal 1/8 binary64)) (*.f64 C C))) (fma.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 C #s(literal 4 binary64))))) C) |
(* 2 C) |
(*.f64 #s(literal 2 binary64) C) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(*.f64 (neg.f64 C) (fma.f64 (/.f64 (*.f64 B B) (*.f64 C C)) #s(literal -1/2 binary64) #s(literal -2 binary64))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 C #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) #s(literal 2 binary64)))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 C #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) #s(literal 2 binary64))))) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 C #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) 1)) |
(fma.f64 B (/.f64 C B) (neg.f64 B)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(*.f64 B (fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64))) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(*.f64 B (+.f64 #s(literal -1 binary64) (fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 C (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 C C) B) C) (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 C (/.f64 (fma.f64 (*.f64 C C) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (*.f64 B B))) B)) (neg.f64 B)) (neg.f64 B))) |
Compiled 53 085 to 5 867 computations (88.9% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 887 | 18 | 1 905 |
| Fresh | 9 | 7 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 897 | 29 | 1 926 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.4% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
| 45.3% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) | |
| ▶ | 26.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| 26.7% | (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) | |
| ▶ | 45.3% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64))) |
| 26.8% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) | |
| 26.7% | (*.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) | |
| 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) B)) (PI.f64))) | |
| 17.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| 35.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 B B))) (PI.f64))) | |
| 38.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) | |
| 46.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) | |
| 26.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) | |
| ✓ | 26.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 21.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64))) | |
| 24.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B)) (PI.f64))) | |
| ▶ | 26.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64))) |
| 37.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64))) | |
| 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) | |
| 54.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) | |
| 42.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A))) (PI.f64))) | |
| ✓ | 81.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
| 50.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) B))) (PI.f64))) | |
| ✓ | 45.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
| 24.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) | |
| ▶ | 12.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 26.8% | (*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
Compiled 1 032 to 713 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 180 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64))) |
| ✓ | cost-diff | 128 | (/.f64 A (*.f64 B #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
| 5 304× | accelerator-lowering-fma.f32 |
| 5 304× | accelerator-lowering-fma.f64 |
| 1 540× | *-lowering-*.f32 |
| 1 540× | *-lowering-*.f64 |
| 1 060× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 319 |
| 1 | 83 | 319 |
| 2 | 150 | 317 |
| 3 | 270 | 317 |
| 4 | 567 | 317 |
| 5 | 1299 | 317 |
| 6 | 2427 | 317 |
| 7 | 3933 | 317 |
| 8 | 5044 | 317 |
| 9 | 5334 | 317 |
| 10 | 5514 | 317 |
| 11 | 5550 | 317 |
| 12 | 5580 | 317 |
| 13 | 5877 | 317 |
| 14 | 5979 | 317 |
| 15 | 6064 | 317 |
| 16 | 6085 | 317 |
| 17 | 6096 | 317 |
| 18 | 6100 | 317 |
| 19 | 6100 | 317 |
| 0 | 6100 | 243 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI)) |
(* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
180 |
(atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
(/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(- C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(+ (* (- C A) (- C A)) (* B B)) |
(* B B) |
B |
(PI) |
(* 180 (/ (atan 0) (PI))) |
180 |
(/ (atan 0) (PI)) |
(atan 0) |
0 |
(PI) |
(/ (* 180 (atan (/ (* B 1/2) A))) (PI)) |
(* 180 (atan (/ (* B 1/2) A))) |
180 |
(atan (/ (* B 1/2) A)) |
(/ (* B 1/2) A) |
(* B 1/2) |
B |
1/2 |
A |
(PI) |
(* 180 (/ (atan (/ 1 (/ A (* B 1/2)))) (PI))) |
180 |
(/ (atan (/ 1 (/ A (* B 1/2)))) (PI)) |
(atan (/ 1 (/ A (* B 1/2)))) |
(/ 1 (/ A (* B 1/2))) |
1 |
(/ A (* B 1/2)) |
A |
(* B 1/2) |
B |
1/2 |
(PI) |
(* (/ 180 (PI)) (* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1)) |
(/ 180 (PI)) |
180 |
(PI) |
(* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1) |
(atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
(- C (sqrt (+ (* B B) (* C C)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(+ (* B B) (* C C)) |
B |
(* C C) |
1 |
| Outputs |
|---|
(/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) |
(* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) |
180 |
#s(literal 180 binary64) |
(atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
(atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) |
(/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) |
(/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(+ (* (- C A) (- C A)) (* B B)) |
(fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) |
(* B B) |
(*.f64 B B) |
B |
(PI) |
(PI.f64) |
(* 180 (/ (atan 0) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 0 binary64))) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(/ (atan 0) (PI)) |
(/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
(atan 0) |
(atan.f64 #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(PI) |
(PI.f64) |
(/ (* 180 (atan (/ (* B 1/2) A))) (PI)) |
(*.f64 (atan.f64 (/.f64 B (+.f64 A A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (atan (/ (* B 1/2) A))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 B (+.f64 A A)))) |
180 |
#s(literal 180 binary64) |
(atan (/ (* B 1/2) A)) |
(atan.f64 (/.f64 B (+.f64 A A))) |
(/ (* B 1/2) A) |
(/.f64 B (+.f64 A A)) |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
A |
(PI) |
(PI.f64) |
(* 180 (/ (atan (/ 1 (/ A (* B 1/2)))) (PI))) |
(*.f64 (atan.f64 (/.f64 B (+.f64 A A))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (/ 1 (/ A (* B 1/2)))) (PI)) |
(/.f64 (atan.f64 (/.f64 B (+.f64 A A))) (PI.f64)) |
(atan (/ 1 (/ A (* B 1/2)))) |
(atan.f64 (/.f64 B (+.f64 A A))) |
(/ 1 (/ A (* B 1/2))) |
(/.f64 B (+.f64 A A)) |
1 |
#s(literal 1 binary64) |
(/ A (* B 1/2)) |
(/.f64 (+.f64 A A) B) |
A |
(* B 1/2) |
(*.f64 B #s(literal 1/2 binary64)) |
B |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
(* (/ 180 (PI)) (* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
(/ 180 (PI)) |
(/.f64 #s(literal 180 binary64) (PI.f64)) |
180 |
#s(literal 180 binary64) |
(PI) |
(PI.f64) |
(* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
(- C (sqrt (+ (* B B) (* C C)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
C |
(sqrt (+ (* B B) (* C C))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (* B B) (* C C)) |
(fma.f64 C C (*.f64 B B)) |
B |
(* C C) |
(*.f64 C C) |
1 |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64))) |
| ✓ | accuracy | 94.1% | (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B) |
| ✓ | accuracy | 91.1% | (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
| ✓ | accuracy | 55.4% | (sqrt.f64 (fma.f64 B B (*.f64 C C))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
| ✓ | accuracy | 100.0% | (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
| ✓ | accuracy | 94.5% | (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
| ✓ | accuracy | 86.7% | (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
| ✓ | accuracy | 47.3% | (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
| 49.0ms | 52× | 2 | valid |
| 47.0ms | 167× | 0 | valid |
| 19.0ms | 32× | 1 | valid |
| 6.0ms | 4× | 3 | valid |
| 1.0ms | 1× | 4 | valid |
Compiled 317 to 42 computations (86.8% saved)
ival-div: 21.0ms (24.2% of total)ival-mult: 18.0ms (20.8% of total)ival-sub: 16.0ms (18.5% of total)ival-atan: 12.0ms (13.8% of total)adjust: 8.0ms (9.2% of total)ival-sqrt: 6.0ms (6.9% of total)ival-add: 4.0ms (4.6% of total)ival-pi: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI))> |
#<alt (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))> |
#<alt (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))> |
#<alt (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)> |
#<alt (* 180 (/ (atan 0) (PI)))> |
#<alt (/ (atan 0) (PI))> |
#<alt (atan 0)> |
#<alt (PI)> |
#<alt (/ (* B 1/2) A)> |
#<alt (/ (* 180 (atan (/ (* B 1/2) A))) (PI))> |
#<alt (* 180 (atan (/ (* B 1/2) A)))> |
#<alt (atan (/ (* B 1/2) A))> |
#<alt (/ 1 (/ A (* B 1/2)))> |
#<alt (/ A (* B 1/2))> |
#<alt (* 180 (/ (atan (/ 1 (/ A (* B 1/2)))) (PI)))> |
#<alt (/ (atan (/ 1 (/ A (* B 1/2)))) (PI))> |
#<alt (* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1)> |
#<alt (* (/ 180 (PI)) (* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1))> |
#<alt (/ 180 (PI))> |
#<alt (sqrt (+ (* (- C A) (- C A)) (* B B)))> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (sqrt (+ (* B B) (* C C)))> |
#<alt (- C (sqrt (+ (* B B) (* C C))))> |
#<alt (/ (- C (sqrt (+ (* B B) (* C C)))) B)> |
| Outputs |
|---|
#<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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) 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 (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 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)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))> |
#<alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))> |
#<alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))> |
#<alt (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))> |
#<alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))> |
#<alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))> |
#<alt (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))> |
#<alt (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) 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 (* -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 (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
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#<alt (+ (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> |
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#<alt (* -1 C)> |
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#<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> |
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#<alt (* -1 A)> |
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#<alt (- C A)> |
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#<alt B> |
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#<alt (* -1 B)> |
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#<alt (* -1 (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2)))))> |
#<alt (- (* 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)))))> |
#<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)))> |
#<alt (- (* -1/2 (/ (pow B 2) C)) (+ A (* -1 A)))> |
#<alt (- (* -1/2 (/ (* A (pow B 2)) (pow C 2))) (+ A (+ (* -1 A) (* 1/2 (/ (pow B 2) C)))))> |
#<alt (- (* 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))))))> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* 2 (/ A C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* 1/2 (/ (pow B 2) C)) (* 2 A)) C)) 2)))> |
#<alt (* -1 (* C (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C)) (* 2 A)) C)) 2)))> |
#<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)))> |
#<alt C> |
#<alt (+ C (* 1/2 (/ (pow B 2) C)))> |
#<alt (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))))> |
#<alt (+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))))> |
#<alt B> |
#<alt (+ B (* 1/2 (/ (pow C 2) B)))> |
#<alt (+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))> |
#<alt (+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B)))))> |
#<alt C> |
#<alt (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))> |
#<alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))))> |
#<alt (* -1 B)> |
#<alt (- C B)> |
#<alt (- (* C (+ 1 (* -1/2 (/ C B)))) B)> |
#<alt (- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B)> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C)> |
#<alt (/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C)> |
#<alt (/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C)> |
#<alt (* 2 C)> |
#<alt (* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2)))> |
#<alt (* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))))> |
#<alt (* -1/2 (/ (pow B 2) C))> |
#<alt (* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))> |
#<alt (* -1 B)> |
#<alt (* B (- (/ C B) 1))> |
#<alt (* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1))> |
#<alt (* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))))> |
#<alt B> |
#<alt (* -1 (* B (- (* -1 (/ C B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1)))> |
#<alt (* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1)))> |
#<alt -1> |
#<alt (- (/ C B) 1)> |
#<alt (- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1)> |
#<alt (- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1)> |
#<alt (* -1/2 (/ B C))> |
#<alt (/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C)> |
#<alt (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C)> |
#<alt (/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C)> |
#<alt (* 2 (/ C B))> |
#<alt (* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B)))))> |
#<alt (* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B)))))> |
#<alt (* -1/2 (/ B C))> |
#<alt (* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))> |
#<alt (* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))> |
#<alt (* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))> |
#<alt -1> |
#<alt (- (/ C B) 1)> |
#<alt (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)> |
#<alt (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1)> |
#<alt 1> |
#<alt (+ 1 (/ C B))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | B | @ | -inf | (/ A (* B 1/2)) |
| 1.0ms | A | @ | 0 | (/ A (* B 1/2)) |
| 0.0ms | B | @ | 0 | (/ A (* B 1/2)) |
| 0.0ms | A | @ | -inf | (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
| 0.0ms | C | @ | -inf | (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
| 1× | batch-egg-rewrite |
| 4 806× | /-lowering-/.f32 |
| 4 806× | /-lowering-/.f64 |
| 4 196× | *-lowering-*.f32 |
| 4 196× | *-lowering-*.f64 |
| 2 988× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 230 |
| 1 | 214 | 230 |
| 2 | 1577 | 230 |
| 0 | 8361 | 175 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI)) |
(* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
(atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
(/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) |
(* 180 (/ (atan 0) (PI))) |
(/ (atan 0) (PI)) |
(atan 0) |
(PI) |
(/ (* B 1/2) A) |
(/ (* 180 (atan (/ (* B 1/2) A))) (PI)) |
(* 180 (atan (/ (* B 1/2) A))) |
(atan (/ (* B 1/2) A)) |
(/ 1 (/ A (* B 1/2))) |
(/ A (* B 1/2)) |
(* 180 (/ (atan (/ 1 (/ A (* B 1/2)))) (PI))) |
(/ (atan (/ 1 (/ A (* B 1/2)))) (PI)) |
(* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1) |
(* (/ 180 (PI)) (* (atan (/ (- C (sqrt (+ (* B B) (* C C)))) B)) 1)) |
(/ 180 (PI)) |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(sqrt (+ (* B B) (* C C))) |
(- C (sqrt (+ (* B B) (* C C)))) |
(/ (- C (sqrt (+ (* B B) (* C C)))) B) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64)) (PI.f64))) |
(neg.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (sqrt.f64 (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)))))) |
(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64)))) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64)) (PI.f64))) |
(*.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal -180 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) |
(*.f64 #s(literal -180 binary64) (/.f64 (neg.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (PI.f64))) |
(*.f64 #s(literal -180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (neg.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (PI.f64)) #s(literal 180 binary64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (cbrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 180 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) #s(literal 1 binary64)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 180 binary64) (cbrt.f64 (PI.f64))) (/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B))) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (+.f64 A (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) B)))) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 C C (*.f64 B B)) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (fma.f64 (/.f64 (fma.f64 C C (*.f64 B B)) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 (fma.f64 C C (*.f64 B B)) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 (fma.f64 C C (*.f64 B B)) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))))) |
(*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (/.f64 #s(literal 1 binary64) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(+.f64 (/.f64 C B) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 C (*.f64 C C)) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B))))) B) (/.f64 (/.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B))))) B)) |
(-.f64 (/.f64 (/.f64 (*.f64 C C) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) B) (/.f64 (/.f64 (fma.f64 C C (*.f64 B B)) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 B)) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (neg.f64 B))) |
(-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))))) (/.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 B (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B))))))) |
(-.f64 (/.f64 (*.f64 C C) (*.f64 B (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (/.f64 (fma.f64 C C (*.f64 B B)) (*.f64 B (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(-.f64 (/.f64 (*.f64 C B) (*.f64 B B)) (/.f64 (*.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 B B))) |
(-.f64 (/.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))))) (/.f64 (/.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 B (*.f64 B B))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)) (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))) |
(fma.f64 C (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))) |
(neg.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (neg.f64 B))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B))))) (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))) B) (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) (*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))) (-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 B (*.f64 B B)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)) (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 B (*.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))) (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 #s(literal 1 binary64) B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (/.f64 #s(literal 1 binary64) B)))) |
(/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(/.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (neg.f64 B)) |
(/.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 B (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (*.f64 B (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 B B)) |
(/.f64 (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal 1 binary64)) (*.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))) B)) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64)) (*.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(/.f64 (neg.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (neg.f64 (*.f64 B (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 (*.f64 B (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (neg.f64 (neg.f64 B))) |
(/.f64 (-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 B (*.f64 B B)))) (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))))) |
(/.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))) (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))) |
(/.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64)) B) |
(/.f64 (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 #s(literal 1 binary64) B)) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B))))) |
(/.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (/.f64 #s(literal 1 binary64) B)) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(/.f64 (-.f64 (neg.f64 C) (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (neg.f64 B)) |
(/.f64 (-.f64 (*.f64 C (/.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 C (neg.f64 B)) (*.f64 B (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (*.f64 B (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 (/.f64 B C) #s(literal 1 binary64))) (*.f64 (/.f64 B C) (/.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B C) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 (/.f64 B C) B)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 B)) (*.f64 (/.f64 B C) (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (*.f64 (/.f64 B C) (neg.f64 B))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) (/.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 (neg.f64 B) #s(literal 1 binary64))) (*.f64 (neg.f64 B) (/.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) B) (*.f64 (neg.f64 B) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (*.f64 (neg.f64 B) B)) |
(/.f64 (-.f64 (*.f64 (neg.f64 C) (neg.f64 B)) (*.f64 (neg.f64 B) (neg.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (*.f64 (neg.f64 B) (neg.f64 B))) |
(/.f64 (neg.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) (neg.f64 (*.f64 B B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))) B))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))))) (neg.f64 (neg.f64 (neg.f64 B)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (/.f64 (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (*.f64 B (*.f64 B B))))) (neg.f64 (fma.f64 (/.f64 C B) (/.f64 C B) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (*.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 C B) (/.f64 C B)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))) (neg.f64 (+.f64 (/.f64 C B) (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) #s(literal 1 binary64))) (neg.f64 B)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 C (*.f64 C C)) (*.f64 B (*.f64 B B))) (pow.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)) #s(literal 3 binary64))) (fma.f64 (/.f64 C B) (/.f64 C B) (-.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B))) (*.f64 (/.f64 C B) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) B)))))) |
(pow.f64 (/.f64 B (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(*.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (neg.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) (/.f64 #s(literal 1 binary64) (neg.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 C (*.f64 C C)) (*.f64 (fma.f64 C C (*.f64 B B)) (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))))) |
(*.f64 (pow.f64 (/.f64 B (-.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
(*.f64 (/.f64 (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))) B) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (fma.f64 C C (fma.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B))) (fma.f64 C C (*.f64 B B)))))) |
(*.f64 (/.f64 (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B) (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) (+.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))))) |
| 1× | egg-herbie |
| 9 250× | accelerator-lowering-fma.f32 |
| 9 250× | accelerator-lowering-fma.f64 |
| 6 456× | *-lowering-*.f32 |
| 6 456× | *-lowering-*.f64 |
| 4 604× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 849 | 8145 |
| 1 | 2557 | 7943 |
| 2 | 7745 | 7942 |
| 0 | 8275 | 6795 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))) |
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(atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) |
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(* -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))) |
(* 1/2 (/ B A)) |
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(/ (atan (* 1/2 (/ B A))) (PI)) |
(/ (atan (* 1/2 (/ B A))) (PI)) |
(/ (atan (* 1/2 (/ B A))) (PI)) |
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(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
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(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(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))))) |
(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))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) 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)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* -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))) |
C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* -1 B) |
(- C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
(* -1/2 (/ (pow B 2) C)) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(* 2 C) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(* -1/2 (/ (pow B 2) C)) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* -1 B) |
(* B (- (/ C B) 1)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
-1 |
(- (/ C B) 1) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(* -1/2 (/ B C)) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(* 2 (/ C B)) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(* -1/2 (/ B C)) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
-1 |
(- (/ C B) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
1 |
(+ 1 (/ C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
| Outputs |
|---|
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI))) |
(*.f64 (atan.f64 (/.f64 (+.f64 (-.f64 A C) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) (neg.f64 B))) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(* 180 (/ (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)) (PI))) |
(*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 B B (*.f64 (-.f64 C A) (-.f64 C A))))) B)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
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(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) |
(atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) |
(atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) |
(atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(/.f64 (*.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) #s(literal 180 binary64)) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(/.f64 (*.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) #s(literal 180 binary64)) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(/.f64 (*.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) #s(literal 180 binary64)) (PI.f64)) |
(* 180 (/ (atan (* -1 (/ (+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 C)) B))) (PI))) |
(/.f64 (*.f64 (atan.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 C C (*.f64 B B))) C) B))) #s(literal 180 binary64)) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(* 180 (/ (atan (/ (- C (sqrt (+ (pow B 2) (pow C 2)))) B)) (PI))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B))) (PI.f64)) |
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(-.f64 (sqrt.f64 (fma.f64 A A (*.f64 B B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (*.f64 C 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))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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)))))))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 C (*.f64 A (*.f64 (*.f64 (*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))) #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (-.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) (/.f64 A C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (/.f64 (*.f64 B B) (*.f64 C C))) (/.f64 A (neg.f64 C))) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 C C (*.f64 B B))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 A (*.f64 (neg.f64 C) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B))))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (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))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(+ (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)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 C C (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B)))) (neg.f64 C)) (*.f64 A (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 C A)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 C C (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 C C (*.f64 B B)) (*.f64 (fma.f64 C C (*.f64 B B)) (fma.f64 C C (*.f64 B B))))))))) (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 A (/.f64 C (neg.f64 A)) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(*.f64 A (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 A A))) (-.f64 #s(literal 1 binary64) (/.f64 C A)))) |
(* A (+ 1 (+ (* -1 (/ C A)) (+ (* 1/2 (/ (* (pow B 2) C) (pow A 3))) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 C (*.f64 B B)) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 A (/.f64 C (neg.f64 A)) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B))) A)) (neg.f64 A)) A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (-.f64 C A))) (-.f64 C A)) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.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)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (/.f64 (*.f64 B B) (pow.f64 (-.f64 C A) #s(literal 5 binary64))) #s(literal 1/16 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))) (-.f64 C A)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (*.f64 #s(literal 1/2 binary64) B) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(fma.f64 B (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(neg.f64 (fma.f64 B (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))) B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(neg.f64 (fma.f64 B (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 C A) #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 C A) #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B)) |
(* -1 (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B))))) |
(- (* C (- 1 (* -1 (* A (sqrt (/ 1 (+ (pow A 2) (pow B 2)))))))) (+ A (sqrt (+ (pow A 2) (pow B 2))))) |
(-.f64 (fma.f64 C (fma.f64 A (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 A A (*.f64 B 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))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) A) #s(literal 1 binary64)) (neg.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))))) |
(- (* 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))))) |
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(* -1 (+ A (* -1 A))) |
#s(literal 0 binary64) |
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(fma.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 #s(literal -1/2 binary64) (*.f64 A (*.f64 B B))) (*.f64 C C)) (fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) C)) #s(literal 0 binary64))) |
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(* 2 C) |
(*.f64 C #s(literal 2 binary64)) |
(* -1 (* C (- (* 2 (/ A C)) 2))) |
(*.f64 (neg.f64 C) (fma.f64 A (/.f64 #s(literal 2 binary64) C) #s(literal -2 binary64))) |
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(- C (sqrt (+ (pow B 2) (pow C 2)))) |
(-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) |
(- (+ C (* -1 (* A (+ 1 (* -1 (* C (sqrt (/ 1 (+ (pow B 2) (pow C 2)))))))))) (sqrt (+ (pow B 2) (pow C 2)))) |
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(- (+ 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)))) |
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(* -2 A) |
(*.f64 A #s(literal -2 binary64)) |
(* 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))))) |
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(* A (- (+ (* -1/2 (/ (* (pow B 2) C) (pow A 3))) (/ C A)) (+ 2 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2))))))) |
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(* 1/2 (/ (pow B 2) A)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) A) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 C (/.f64 (*.f64 B B) A) (*.f64 B B))) (neg.f64 A)) |
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(* -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)) |
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(* -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 B (*.f64 B (fma.f64 (*.f64 B B) (/.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))))) |
(* (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) (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.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)))) |
(* (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) (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.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 1/8 binary64) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))))) (/.f64 #s(literal -1/2 binary64) (-.f64 C A)))) |
(* -1 B) |
(neg.f64 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 B B)) (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64)))) |
(* 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 (fma.f64 #s(literal 1/8 binary64) (/.f64 (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 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B))))) |
B |
(* -1 (* B (- (* -1 (/ (- C A) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 A C) B) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (- (+ C (* 1/2 (/ (pow (- C A) 2) B))) A) B)) 1))) |
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(* -1 (* B (- (* -1 (/ (- (+ C (* -1 (/ (- (* 1/8 (/ (pow (- C A) 4) (pow B 2))) (* 1/2 (pow (- C A) 2))) B))) A) B)) 1))) |
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C |
(+ C (* 1/2 (/ (pow B 2) C))) |
(fma.f64 B (*.f64 B (/.f64 #s(literal 1/2 binary64) C)) C) |
(+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C))))) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (/.f64 #s(literal 1/2 binary64) C)) C) |
(+ C (* (pow B 2) (+ (* (pow B 2) (- (* 1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C))))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal 1/2 binary64) C)) C) |
B |
(* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2))))) |
(fma.f64 (/.f64 (*.f64 C C) (*.f64 B B)) (*.f64 #s(literal 1/2 binary64) B) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2)))))) |
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(* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(fma.f64 B (fma.f64 (*.f64 C C) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 C #s(literal 6 binary64)) (pow.f64 B #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) B) |
(* -1 B) |
(neg.f64 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(*.f64 (fma.f64 (*.f64 C C) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64)) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (* 1/2 (/ (pow C 2) (pow B 2))))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (pow.f64 B #s(literal 4 binary64))) (fma.f64 (*.f64 C C) (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) #s(literal 1 binary64))) (neg.f64 B)) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow C 4) (pow B 4))) (+ (* 1/16 (/ (pow C 6) (pow B 6))) (* 1/2 (/ (pow C 2) (pow B 2)))))))) |
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B |
(+ B (* 1/2 (/ (pow C 2) B))) |
(fma.f64 C (*.f64 C (/.f64 #s(literal 1/2 binary64) B)) B) |
(+ B (* (pow C 2) (+ (* -1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 C C) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 C C) (*.f64 B (*.f64 B B))) (/.f64 #s(literal 1/2 binary64) B)) B) |
(+ B (* (pow C 2) (+ (* (pow C 2) (- (* 1/16 (/ (pow C 2) (pow B 5))) (* 1/8 (/ 1 (pow B 3))))) (* 1/2 (/ 1 B))))) |
(fma.f64 (*.f64 C C) (fma.f64 (*.f64 C C) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 C C) (pow.f64 B #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 B (*.f64 B B)))) (/.f64 #s(literal 1/2 binary64) B)) B) |
C |
(* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2))))) |
(fma.f64 C (/.f64 (*.f64 (*.f64 B B) #s(literal 1/2 binary64)) (*.f64 C C)) C) |
(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
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(* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(fma.f64 C (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 C #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 6 binary64))))) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(*.f64 (neg.f64 C) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) #s(literal 1 binary64))) |
(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2))))))) |
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(* -1 (* C (+ 1 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (+ (* 1/16 (/ (pow B 6) (pow C 6))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
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(* -1 B) |
(neg.f64 B) |
(- C B) |
(-.f64 C B) |
(- (* C (+ 1 (* -1/2 (/ C B)))) B) |
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C C) B) C) B) |
(- (* C (+ 1 (* C (- (* 1/8 (/ (pow C 2) (pow B 3))) (* 1/2 (/ 1 B)))))) B) |
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(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(/ (- (* 1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2))) C) |
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(/ (- (* -1/16 (/ (pow B 6) (pow C 4))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (* 1/2 (pow B 2)))) C) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 C C)) (*.f64 (*.f64 B B) #s(literal 1/2 binary64)))) C) |
(/ (- (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (pow C 6))) (+ (* -1/8 (/ (pow B 4) (pow C 2))) (+ (* 1/16 (/ (pow B 6) (pow C 4))) (* 1/2 (pow B 2))))) C) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64))) (pow.f64 C #s(literal 6 binary64))) (fma.f64 B (*.f64 B #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 B #s(literal 6 binary64)) (pow.f64 C #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (*.f64 C C))))) C) |
(* 2 C) |
(*.f64 C #s(literal 2 binary64)) |
(* -1 (* C (- (* -1/2 (/ (pow B 2) (pow C 2))) 2))) |
(*.f64 (neg.f64 C) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) (*.f64 C C)) #s(literal -2 binary64))) |
(* -1 (* C (- (* 1/8 (/ (pow B 4) (pow C 4))) (+ 2 (* 1/2 (/ (pow B 2) (pow C 2))))))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 B #s(literal 4 binary64))) (pow.f64 C #s(literal 4 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) #s(literal 2 binary64)))) |
(* -1 (* C (- (* -1/16 (/ (pow B 6) (pow C 6))) (+ 2 (+ (* -1/8 (/ (pow B 4) (pow C 4))) (* 1/2 (/ (pow B 2) (pow C 2)))))))) |
(*.f64 (neg.f64 C) (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 6 binary64))) (pow.f64 C #s(literal 6 binary64))) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 C C)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 B #s(literal 4 binary64)) (pow.f64 C #s(literal 4 binary64))) #s(literal 2 binary64))))) |
(* -1/2 (/ (pow B 2) C)) |
(/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) |
(* (pow B 2) (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C))) (/.f64 #s(literal -1/2 binary64) C))) |
(* (pow B 2) (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(*.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C)))) |
(* (pow B 2) (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 C #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C))) |
(* -1 B) |
(neg.f64 B) |
(* B (- (/ C B) 1)) |
(fma.f64 B (/.f64 C B) (neg.f64 B)) |
(* B (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1)) |
(*.f64 B (fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64))) |
(* B (- (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B)) (+ 1 (* 1/2 (/ (pow C 2) (pow B 2)))))) |
(*.f64 B (+.f64 #s(literal -1 binary64) (fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64)))))) |
B |
(* -1 (* B (- (* -1 (/ C B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 C (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (+ C (* 1/2 (/ (pow C 2) B))) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (fma.f64 C (*.f64 C (/.f64 #s(literal 1/2 binary64) B)) C) (neg.f64 B)) (neg.f64 B))) |
(* -1 (* B (- (* -1 (/ (+ C (* -1 (/ (- (* 1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B)) 1))) |
(neg.f64 (fma.f64 B (/.f64 (-.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 C C) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (*.f64 B B))) B)) (neg.f64 B)) (neg.f64 B))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 C B)) |
(- (* C (+ (* -1/2 (/ C (pow B 2))) (/ 1 B))) 1) |
(fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64)) |
(- (* C (+ (* C (- (* 1/8 (/ (pow C 2) (pow B 4))) (* 1/2 (/ 1 (pow B 2))))) (/ 1 B))) 1) |
(fma.f64 C (fma.f64 C (fma.f64 #s(literal 1/8 binary64) (*.f64 C (/.f64 C (pow.f64 B #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 B B))) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64)) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(/ (+ (* -1/2 B) (* 1/8 (/ (pow B 3) (pow C 2)))) C) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (*.f64 C C))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (* 1/8 (/ (pow B 3) (pow C 2))))) C) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (*.f64 C C)) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 B #s(literal 5 binary64))) (pow.f64 C #s(literal 4 binary64))))) C) |
(/ (+ (* -1/2 B) (+ (* -1/16 (/ (pow B 5) (pow C 4))) (+ (* 1/8 (/ (pow B 3) (pow C 2))) (* 1/2 (/ (+ (* 1/64 (pow B 8)) (* 1/16 (pow B 8))) (* B (pow C 6))))))) C) |
(/.f64 (fma.f64 B #s(literal -1/2 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 B #s(literal 5 binary64)) (pow.f64 C #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 B #s(literal 8 binary64)) #s(literal 5/64 binary64)) (*.f64 B (pow.f64 C #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 B (*.f64 B B))) (*.f64 C C))))) C) |
(* 2 (/ C B)) |
(/.f64 (*.f64 C #s(literal 2 binary64)) B) |
(* -1 (* C (- (* -1/2 (/ B (pow C 2))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 C C)) (/.f64 #s(literal -2 binary64) B))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (* 1/8 (/ (pow B 3) (pow C 4)))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (pow.f64 C #s(literal 4 binary64))) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 C C)) (/.f64 #s(literal -2 binary64) B)))) |
(* -1 (* C (- (+ (* -1/2 (/ B (pow C 2))) (+ (* -1/16 (/ (pow B 5) (pow C 6))) (* 1/8 (/ (pow B 3) (pow C 4))))) (* 2 (/ 1 B))))) |
(*.f64 (neg.f64 C) (fma.f64 B (/.f64 #s(literal -1/2 binary64) (*.f64 C C)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 B (*.f64 B B)) (pow.f64 C #s(literal 4 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 B #s(literal 5 binary64)) (pow.f64 C #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) B))))) |
(* -1/2 (/ B C)) |
(/.f64 (*.f64 B #s(literal -1/2 binary64)) C) |
(* B (- (* 1/8 (/ (pow B 2) (pow C 3))) (* 1/2 (/ 1 C)))) |
(*.f64 B (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C))) (/.f64 #s(literal -1/2 binary64) C))) |
(* B (- (* (pow B 2) (+ (* -1/16 (/ (pow B 2) (pow C 5))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C))) |
(* B (- (* (pow B 2) (+ (* (pow B 2) (- (* 5/128 (/ (pow B 2) (pow C 7))) (* 1/16 (/ 1 (pow C 5))))) (* 1/8 (/ 1 (pow C 3))))) (* 1/2 (/ 1 C)))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 5/128 binary64) (/.f64 (*.f64 B B) (pow.f64 C #s(literal 7 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 C #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 C (*.f64 C C)))) (/.f64 #s(literal -1/2 binary64) C))) |
-1 |
#s(literal -1 binary64) |
(- (/ C B) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 C B)) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) 1) |
(fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64)) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (+ (* 1/8 (/ (pow C 4) (pow B 4))) (/ C B))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 C (fma.f64 #s(literal -1/2 binary64) (/.f64 C (*.f64 B B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 C #s(literal 4 binary64))) (pow.f64 B #s(literal 4 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ C B)) |
(+.f64 #s(literal 1 binary64) (/.f64 C B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1/2 (/ (pow C 2) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C C) B)) C) B)) |
(+ 1 (* -1 (/ (+ (* -1 C) (* -1 (/ (+ (* -1/8 (/ (pow C 4) (pow B 2))) (* 1/2 (pow C 2))) B))) B))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 C) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 C #s(literal 4 binary64)) (*.f64 B B)) (*.f64 (*.f64 C C) #s(literal 1/2 binary64))) B)) B)) |
Compiled 39 234 to 5 233 computations (86.7% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 622 | 15 | 1 637 |
| Fresh | 11 | 9 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 637 | 29 | 1 666 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
| 50.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) | |
| 46.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) | |
| 26.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) | |
| ✓ | 26.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| 33.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) | |
| 24.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) | |
| 26.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) (PI.f64)) | |
| ▶ | 54.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
| ▶ | 24.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| 45.3% | (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| ▶ | 26.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
| 21.2% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) #s(literal 1 binary64))) | |
| 26.7% | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (sqrt.f64 (PI.f64))))) | |
| 26.8% | (*.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) | |
| 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) B)) (PI.f64))) | |
| 17.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| 35.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 B B))) (PI.f64))) | |
| 38.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) | |
| 46.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) | |
| ✓ | 26.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 21.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64))) | |
| 26.7% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) B) A))) (PI.f64))) | |
| ▶ | 37.5% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64))) |
| 42.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A))) (PI.f64))) | |
| ✓ | 45.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
| ✓ | 12.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 993 to 687 computations (30.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) |
| ✓ | cost-diff | 0 | (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64))) |
| ✓ | cost-diff | 192 | (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 1/180 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
| ✓ | cost-diff | 0 | (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (atan.f64 #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| ✓ | cost-diff | 0 | (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
| ✓ | cost-diff | 4928 | (hypot.f64 (-.f64 C A) B) |
| 18 064× | accelerator-lowering-fma.f32 |
| 18 064× | accelerator-lowering-fma.f64 |
| 3 516× | *-lowering-*.f32 |
| 3 516× | *-lowering-*.f64 |
| 2 038× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 372 |
| 1 | 89 | 370 |
| 2 | 187 | 370 |
| 3 | 512 | 370 |
| 4 | 1758 | 358 |
| 5 | 5999 | 358 |
| 0 | 8404 | 310 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI)) |
(* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
180 |
(atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
(/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(- C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
B |
(PI) |
(/ (* 180 (atan 1)) (PI)) |
(* 180 (atan 1)) |
180 |
(atan 1) |
1 |
(PI) |
(/ (* 180 (atan (+ 1 (/ (- C A) B)))) (PI)) |
(* 180 (atan (+ 1 (/ (- C A) B)))) |
180 |
(atan (+ 1 (/ (- C A) B))) |
(+ 1 (/ (- C A) B)) |
1 |
(/ (- C A) B) |
(- C A) |
C |
A |
B |
(PI) |
(/ 1 (/ (* (PI) 1/180) (atan (* 1/2 (/ B A))))) |
1 |
(/ (* (PI) 1/180) (atan (* 1/2 (/ B A)))) |
(* (PI) 1/180) |
(PI) |
1/180 |
(atan (* 1/2 (/ B A))) |
(* 1/2 (/ B A)) |
1/2 |
(/ B A) |
B |
A |
(* 180 (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI))) |
180 |
(/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI)) |
(atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) |
(- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B)) |
1 |
(/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B) |
(+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) |
-1/2 |
(* (- C A) (/ (- C A) B)) |
(- C A) |
C |
A |
(/ (- C A) B) |
B |
(- A C) |
(PI) |
| Outputs |
|---|
(/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI)) |
(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) |
180 |
#s(literal 180 binary64) |
(atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
(atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) |
(/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) |
(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(- C A) |
(-.f64 C A) |
C |
A |
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
B |
(PI) |
(PI.f64) |
(/ (* 180 (atan 1)) (PI)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(* 180 (atan 1)) |
(*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
180 |
#s(literal 180 binary64) |
(atan 1) |
(atan.f64 #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
(/ (* 180 (atan (+ 1 (/ (- C A) B)))) (PI)) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(* 180 (atan (+ 1 (/ (- C A) B)))) |
(*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
180 |
#s(literal 180 binary64) |
(atan (+ 1 (/ (- C A) B))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) |
(+ 1 (/ (- C A) B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)) |
1 |
#s(literal 1 binary64) |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
(- C A) |
(-.f64 C A) |
C |
A |
B |
(PI) |
(PI.f64) |
(/ 1 (/ (* (PI) 1/180) (atan (* 1/2 (/ B A))))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (* (PI) 1/180) (atan (* 1/2 (/ B A)))) |
(/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) |
(* (PI) 1/180) |
(*.f64 (PI.f64) #s(literal 1/180 binary64)) |
(PI) |
(PI.f64) |
1/180 |
#s(literal 1/180 binary64) |
(atan (* 1/2 (/ B A))) |
(atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) |
(* 1/2 (/ B A)) |
(/.f64 (*.f64 B #s(literal 1/2 binary64)) A) |
1/2 |
#s(literal 1/2 binary64) |
(/ B A) |
(/.f64 B A) |
B |
A |
(* 180 (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI))) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 C A) (fma.f64 (-.f64 C A) (/.f64 #s(literal 1/2 binary64) B) #s(literal 1 binary64))) B))) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
180 |
#s(literal 180 binary64) |
(/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI)) |
(/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 C A) (fma.f64 (-.f64 C A) (/.f64 #s(literal 1/2 binary64) B) #s(literal 1 binary64))) B))) (PI.f64)) |
(atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) |
(atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 C A) (fma.f64 (-.f64 C A) (/.f64 #s(literal 1/2 binary64) B) #s(literal 1 binary64))) B))) |
(- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 C A) (fma.f64 (-.f64 C A) (/.f64 #s(literal 1/2 binary64) B) #s(literal 1 binary64))) B)) |
1 |
#s(literal 1 binary64) |
(/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B) |
(/.f64 (*.f64 (-.f64 C A) (fma.f64 (-.f64 C A) (/.f64 #s(literal -1/2 binary64) B) #s(literal -1 binary64))) B) |
(+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) |
(*.f64 (-.f64 C A) (fma.f64 (-.f64 C A) (/.f64 #s(literal -1/2 binary64) B) #s(literal -1 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* (- C A) (/ (- C A) B)) |
(/.f64 (*.f64 (-.f64 C A) (-.f64 C A)) B) |
(- C A) |
(-.f64 C A) |
C |
A |
(/ (- C A) B) |
(/.f64 (-.f64 C A) B) |
B |
(- A C) |
(-.f64 A C) |
(PI) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 C A) B) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
| ✓ | accuracy | 95.5% | (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (/.f64 B A)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A)))) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 C A) B) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (atan.f64 #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) |
| ✓ | accuracy | 94.5% | (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B) |
| ✓ | accuracy | 86.7% | (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) |
| 61.0ms | 181× | 0 | valid |
| 41.0ms | 48× | 2 | valid |
| 17.0ms | 27× | 1 | valid |
Compiled 326 to 41 computations (87.4% saved)
ival-div: 21.0ms (24.8% of total)ival-mult: 20.0ms (23.7% of total)ival-atan: 12.0ms (14.2% of total)ival-hypot: 8.0ms (9.5% of total)ival-sub: 7.0ms (8.3% of total)const: 6.0ms (7.1% of total)adjust: 5.0ms (5.9% of total)ival-add: 3.0ms (3.5% of total)ival-pi: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt (+ (* (- C A) (- C A)) (* B B)))> |
#<alt (/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI))> |
#<alt (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)))> |
#<alt (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))> |
#<alt (/ (* 180 (atan 1)) (PI))> |
#<alt (* 180 (atan 1))> |
#<alt (atan 1)> |
#<alt (PI)> |
#<alt (/ (* 180 (atan (+ 1 (/ (- C A) B)))) (PI))> |
#<alt (* 180 (atan (+ 1 (/ (- C A) B))))> |
#<alt (atan (+ 1 (/ (- C A) B)))> |
#<alt (+ 1 (/ (- C A) B))> |
#<alt (/ 1 (/ (* (PI) 1/180) (atan (* 1/2 (/ B A)))))> |
#<alt (/ (* (PI) 1/180) (atan (* 1/2 (/ B A))))> |
#<alt (* (PI) 1/180)> |
#<alt (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C))> |
#<alt (* 180 (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI)))> |
#<alt (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI))> |
#<alt (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B)))> |
#<alt (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B))))> |
#<alt (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)> |
#<alt (/ (- C A) B)> |
#<alt (* 1/2 (/ B A))> |
#<alt (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B)> |
#<alt (* (- C A) (/ (- C A) B))> |
| Outputs |
|---|
#<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)))))))> |
#<alt (+ (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 (+ (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))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2))))))> |
#<alt (* C (+ 1 (+ (* -1 (/ A C)) (+ (* 1/2 (/ (* A (pow B 2)) (pow C 3))) (* 1/2 (/ (pow B 2) (pow C 2)))))))> |
#<alt (* -1 C)> |
#<alt (* -1 (* C (+ 1 (* -1 (/ A C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C)))))> |
#<alt (* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) 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 (- C A)> |
#<alt (- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A)> |
#<alt (- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A)> |
#<alt (- (+ 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)))))) A)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))> |
#<alt (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))> |
#<alt (* -1 B)> |
#<alt (* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))> |
#<alt (* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))))> |
#<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 (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))) (PI)))> |
#<alt (* 180 (/ (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) 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 (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)) (PI)))> |
#<alt (* 180 (/ (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 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)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B))))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B)))> |
#<alt (* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B)))> |
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#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (+ (* -1 (/ A B)) (/ C B))> |
#<alt (* -1 (/ A B))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* A (- (/ C (* A B)) (/ 1 B)))> |
#<alt (* -1 (/ A B))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B))))> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (/ (- C A) B)> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (* 1/2 (/ B A))> |
#<alt (/ (+ A (* -1/2 (/ (pow A 2) B))) B)> |
#<alt (+ (* -1/2 (/ (pow A 2) (pow B 2))) (+ (* C (- (/ A (pow B 2)) (/ 1 B))) (/ A B)))> |
#<alt (+ (* -1/2 (/ (pow A 2) (pow B 2))) (+ (* C (- (+ (* -1/2 (/ C (pow B 2))) (/ A (pow B 2))) (/ 1 B))) (/ A B)))> |
#<alt (+ (* -1/2 (/ (pow A 2) (pow B 2))) (+ (* C (- (+ (* -1/2 (/ C (pow B 2))) (/ A (pow B 2))) (/ 1 B))) (/ A B)))> |
#<alt (* -1/2 (/ (pow C 2) (pow B 2)))> |
#<alt (* (pow C 2) (- (/ A (* (pow B 2) C)) (+ (/ 1 (* B C)) (* 1/2 (/ 1 (pow B 2))))))> |
#<alt (* (pow C 2) (- (+ (* -1/2 (/ (pow A 2) (* (pow B 2) (pow C 2)))) (+ (/ A (* B (pow C 2))) (/ A (* (pow B 2) C)))) (+ (/ 1 (* B C)) (* 1/2 (/ 1 (pow B 2))))))> |
#<alt (* (pow C 2) (- (+ (* -1/2 (/ (pow A 2) (* (pow B 2) (pow C 2)))) (+ (/ A (* B (pow C 2))) (/ A (* (pow B 2) C)))) (+ (/ 1 (* B C)) (* 1/2 (/ 1 (pow B 2))))))> |
#<alt (* -1/2 (/ (pow C 2) (pow B 2)))> |
#<alt (* (pow C 2) (- (* -1 (/ (+ (* -1 (/ A (pow B 2))) (/ 1 B)) C)) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (* (pow C 2) (- (* -1 (/ (+ (* -1 (/ A (pow B 2))) (+ (* -1 (/ (+ (* -1/2 (/ (pow A 2) (pow B 2))) (/ A B)) C)) (/ 1 B))) C)) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (* (pow C 2) (- (* -1 (/ (+ (* -1 (/ A (pow B 2))) (+ (* -1 (/ (+ (* -1/2 (/ (pow A 2) (pow B 2))) (/ A B)) C)) (/ 1 B))) C)) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (/ (- (* -1/2 (/ (pow C 2) B)) C) B)> |
#<alt (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (* A (+ (/ 1 B) (/ C (pow B 2))))) (/ C B))> |
#<alt (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (* A (+ (* -1/2 (/ A (pow B 2))) (+ (/ 1 B) (/ C (pow B 2)))))) (/ C B))> |
#<alt (- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (* A (+ (* -1/2 (/ A (pow B 2))) (+ (/ 1 B) (/ C (pow B 2)))))) (/ C B))> |
#<alt (* -1/2 (/ (pow A 2) (pow B 2)))> |
#<alt (* (pow A 2) (- (+ (/ 1 (* A B)) (/ C (* A (pow B 2)))) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) (pow B 2)))) (+ (/ 1 (* A B)) (/ C (* A (pow B 2))))) (+ (* 1/2 (/ 1 (pow B 2))) (/ C (* (pow A 2) B)))))> |
#<alt (* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) (pow B 2)))) (+ (/ 1 (* A B)) (/ C (* A (pow B 2))))) (+ (* 1/2 (/ 1 (pow B 2))) (/ C (* (pow A 2) B)))))> |
#<alt (* -1/2 (/ (pow A 2) (pow B 2)))> |
#<alt (* (pow A 2) (- (* -1 (/ (- (* -1 (/ C (pow B 2))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C (pow B 2))) (* -1 (/ (- (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) A))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C (pow B 2))) (* -1 (/ (- (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) A))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2)))))> |
#<alt (* -1/2 (/ (pow (- C A) 2) (pow B 2)))> |
#<alt (/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2))> |
#<alt (/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2))> |
#<alt (/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2))> |
#<alt (/ (- A C) B)> |
#<alt (/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B)> |
#<alt (/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B)> |
#<alt (/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B)> |
#<alt (/ (- A C) B)> |
#<alt (* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B))> |
#<alt (* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B))> |
#<alt (* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B))> |
#<alt (/ (pow A 2) B)> |
#<alt (+ (* -2 (/ (* A C) B)) (/ (pow A 2) B))> |
#<alt (+ (* C (+ (* -2 (/ A B)) (/ C B))) (/ (pow A 2) B))> |
#<alt (+ (* C (+ (* -2 (/ A B)) (/ C B))) (/ (pow A 2) B))> |
#<alt (/ (pow C 2) B)> |
#<alt (* (pow C 2) (+ (* -2 (/ A (* B C))) (/ 1 B)))> |
#<alt (* (pow C 2) (+ (* -2 (/ A (* B C))) (+ (/ 1 B) (/ (pow A 2) (* B (pow C 2))))))> |
#<alt (* (pow C 2) (+ (* -2 (/ A (* B C))) (+ (/ 1 B) (/ (pow A 2) (* B (pow C 2))))))> |
#<alt (/ (pow C 2) B)> |
#<alt (* (pow C 2) (+ (* -2 (/ A (* B C))) (/ 1 B)))> |
#<alt (* (pow C 2) (+ (* -1 (/ (+ (* -1 (/ (pow A 2) (* B C))) (* 2 (/ A B))) C)) (/ 1 B)))> |
#<alt (* (pow C 2) (+ (* -1 (/ (+ (* -1 (/ (pow A 2) (* B C))) (* 2 (/ A B))) C)) (/ 1 B)))> |
#<alt (/ (pow C 2) B)> |
#<alt (+ (* -2 (/ (* A C) B)) (/ (pow C 2) B))> |
#<alt (+ (* A (+ (* -2 (/ C B)) (/ A B))) (/ (pow C 2) B))> |
#<alt (+ (* A (+ (* -2 (/ C B)) (/ A B))) (/ (pow C 2) B))> |
#<alt (/ (pow A 2) B)> |
#<alt (* (pow A 2) (+ (* -2 (/ C (* A B))) (/ 1 B)))> |
#<alt (* (pow A 2) (+ (* -2 (/ C (* A B))) (+ (/ 1 B) (/ (pow C 2) (* (pow A 2) B)))))> |
#<alt (* (pow A 2) (+ (* -2 (/ C (* A B))) (+ (/ 1 B) (/ (pow C 2) (* (pow A 2) B)))))> |
#<alt (/ (pow A 2) B)> |
#<alt (* (pow A 2) (+ (* -2 (/ C (* A B))) (/ 1 B)))> |
#<alt (* (pow A 2) (+ (* -1 (/ (+ (* -1 (/ (pow C 2) (* A B))) (* 2 (/ C B))) A)) (/ 1 B)))> |
#<alt (* (pow A 2) (+ (* -1 (/ (+ (* -1 (/ (pow C 2) (* A B))) (* 2 (/ C B))) A)) (/ 1 B)))> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
#<alt (/ (pow (- C A) 2) B)> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | A | @ | inf | (/ (- C A) B) |
| 3.0ms | C | @ | -inf | (/ (* 180 (atan (+ 1 (/ (- C A) B)))) (PI)) |
| 3.0ms | B | @ | 0 | (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI)) |
| 1.0ms | A | @ | -inf | (* 180 (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI))) |
| 1.0ms | C | @ | -inf | (* 180 (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI))) |
| 1× | batch-egg-rewrite |
| 5 698× | *-lowering-*.f32 |
| 5 698× | *-lowering-*.f64 |
| 4 344× | /-lowering-/.f32 |
| 4 344× | /-lowering-/.f64 |
| 2 054× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 277 |
| 1 | 243 | 275 |
| 2 | 2142 | 275 |
| 0 | 8891 | 240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (+ (* (- C A) (- C A)) (* B B))) |
(/ (* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) (PI)) |
(* 180 (atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B))) |
(atan (/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B)) |
(/ (* 180 (atan 1)) (PI)) |
(* 180 (atan 1)) |
(atan 1) |
(PI) |
(/ (* 180 (atan (+ 1 (/ (- C A) B)))) (PI)) |
(* 180 (atan (+ 1 (/ (- C A) B)))) |
(atan (+ 1 (/ (- C A) B))) |
(+ 1 (/ (- C A) B)) |
(/ 1 (/ (* (PI) 1/180) (atan (* 1/2 (/ B A))))) |
(/ (* (PI) 1/180) (atan (* 1/2 (/ B A)))) |
(* (PI) 1/180) |
(+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) |
(* 180 (/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI))) |
(/ (atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) (PI)) |
(atan (- 1 (/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B))) |
(- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) |
(/ (- (- C A) (sqrt (+ (* (- C A) (- C A)) (* B B)))) B) |
(/ (- C A) B) |
(* 1/2 (/ B A)) |
(/ (+ (* -1/2 (* (- C A) (/ (- C A) B))) (- A C)) B) |
(* (- C A) (/ (- C A) B)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(hypot.f64 (-.f64 C A) B) |
(hypot.f64 (-.f64 C A) (neg.f64 B)) |
(hypot.f64 (-.f64 C A) (exp.f64 (log.f64 B))) |
(hypot.f64 B (-.f64 C A)) |
(hypot.f64 B (neg.f64 (-.f64 C A))) |
(hypot.f64 B (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 B) (-.f64 C A)) |
(hypot.f64 (neg.f64 B) (neg.f64 (-.f64 C A))) |
(hypot.f64 (neg.f64 B) (exp.f64 (log.f64 (-.f64 C A)))) |
(hypot.f64 (neg.f64 (-.f64 C A)) B) |
(hypot.f64 (neg.f64 (-.f64 C A)) (neg.f64 B)) |
(hypot.f64 (neg.f64 (-.f64 C A)) (exp.f64 (log.f64 B))) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) B) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) (neg.f64 B)) |
(hypot.f64 (exp.f64 (log.f64 (-.f64 C A))) (exp.f64 (log.f64 B))) |
(hypot.f64 (exp.f64 (log.f64 B)) (-.f64 C A)) |
(hypot.f64 (exp.f64 (log.f64 B)) (neg.f64 (-.f64 C A))) |
(hypot.f64 (exp.f64 (log.f64 B)) (exp.f64 (log.f64 (-.f64 C A)))) |
(fabs.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) |
(sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)) (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (fma.f64 B (*.f64 B (*.f64 B B)) (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 (-.f64 C A) B) (*.f64 (-.f64 C A) B)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 B (*.f64 B (*.f64 B B))) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))))) (sqrt.f64 (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B))))))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (*.f64 B (*.f64 B (*.f64 B B)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 C A) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A))) (*.f64 (*.f64 B B) (-.f64 (*.f64 B B) (*.f64 (-.f64 C A) (-.f64 C A)))))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 C A) B) (-.f64 (-.f64 C A) B))))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (neg.f64 (PI.f64)))) |
(neg.f64 (/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)) #s(literal -180 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/180 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))))))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 C A) B) (*.f64 (+.f64 C A) (-.f64 C A)))) (neg.f64 (+.f64 C A))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 C C (*.f64 A (+.f64 C A))) (-.f64 C A)) (/.f64 (-.f64 C A) B))) (neg.f64 (fma.f64 C C (*.f64 A (+.f64 C A))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 C A) (-.f64 C A)) (/.f64 (-.f64 C A) B))) (neg.f64 (+.f64 C A))) |
(pow.f64 (/.f64 B (*.f64 (-.f64 C A) (-.f64 C A))) #s(literal -1 binary64)) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 (-.f64 C A) B) (-.f64 C A)) |
| 1× | egg-herbie |
| 9 260× | accelerator-lowering-fma.f32 |
| 9 260× | accelerator-lowering-fma.f64 |
| 6 242× | *-lowering-*.f32 |
| 6 242× | *-lowering-*.f64 |
| 4 446× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 879 | 11645 |
| 1 | 2673 | 11189 |
| 0 | 8049 | 10182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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))))) |
(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))))) |
(- C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) 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)))))) A) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 B) |
(* -1 (* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2))))))) |
(* -1 (* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (+ (* 1/16 (/ (pow (- C A) 6) (pow B 6))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))))) |
(* 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))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (* -1 (/ (+ A (+ (sqrt (+ (pow B 2) (pow (+ A (* -1 C)) 2))) (* -1 C))) B)))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- (+ C (* -1 A)) (sqrt (+ (pow B 2) (pow (+ C (* -1 A)) 2)))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (atan (/ (- C (+ A (sqrt (+ (pow B 2) (pow (- C A) 2))))) B))) |
(* 180 (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)) |
(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)) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (/ A B))) (PI))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B))))) |
(* 180 (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B))))) |
(* 180 (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B))))) |
(* 180 (atan (+ 1 (* -1 (/ (+ A (* -1 C)) B))))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (+ 1 (+ (* -1 (/ A B)) (/ C B))))) |
(* 180 (atan (+ 1 (+ (* -1 (/ A B)) (/ C B))))) |
(* 180 (atan (+ 1 (+ (* -1 (/ A B)) (/ C B))))) |
(* 180 (atan (+ 1 (+ (* -1 (/ A B)) (/ C B))))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(* 180 (atan (- (+ 1 (/ C B)) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (+ 1 (* -1 (/ (+ A (* -1 C)) B)))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (+ 1 (+ (* -1 (/ A B)) (/ C B)))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(atan (- (+ 1 (/ C B)) (/ A B))) |
(- 1 (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(/ C B) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(* C (- (+ (/ 1 B) (/ 1 C)) (/ A (* B C)))) |
(/ C B) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(* -1 (* C (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (/ 1 B)))) |
(+ 1 (/ C B)) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(+ 1 (+ (* -1 (/ A B)) (/ C B))) |
(* -1 (/ A B)) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* A (- (+ (/ 1 A) (/ C (* A B))) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ (+ 1 (/ C B)) A)) (/ 1 B)))) |
(/ (- C A) B) |
(/ (- (+ B C) A) B) |
(/ (- (+ B C) A) B) |
(/ (- (+ B C) A) B) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
1 |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A B)) |
(- (+ 1 (/ C B)) (/ A 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))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(* 1/180 (/ (PI) (atan (* 1/2 (/ B A))))) |
(+ A (* -1/2 (/ (pow A 2) B))) |
(+ A (+ (* -1/2 (/ (pow A 2) B)) (* C (- (/ A B) 1)))) |
(+ A (+ (* -1/2 (/ (pow A 2) B)) (* C (- (+ (* -1/2 (/ C B)) (/ A B)) 1)))) |
(+ A (+ (* -1/2 (/ (pow A 2) B)) (* C (- (+ (* -1/2 (/ C B)) (/ A B)) 1)))) |
(* -1/2 (/ (pow C 2) B)) |
(* (pow C 2) (- (/ A (* B C)) (+ (* 1/2 (/ 1 B)) (/ 1 C)))) |
(* (pow C 2) (- (+ (* -1/2 (/ (pow A 2) (* B (pow C 2)))) (+ (/ A (* B C)) (/ A (pow C 2)))) (+ (* 1/2 (/ 1 B)) (/ 1 C)))) |
(* (pow C 2) (- (+ (* -1/2 (/ (pow A 2) (* B (pow C 2)))) (+ (/ A (* B C)) (/ A (pow C 2)))) (+ (* 1/2 (/ 1 B)) (/ 1 C)))) |
(* -1/2 (/ (pow C 2) B)) |
(* (pow C 2) (- (* -1 (/ (+ 1 (* -1 (/ A B))) C)) (* 1/2 (/ 1 B)))) |
(* (pow C 2) (- (* -1 (/ (+ 1 (+ (* -1 (/ A B)) (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) C)))) C)) (* 1/2 (/ 1 B)))) |
(* (pow C 2) (- (* -1 (/ (+ 1 (+ (* -1 (/ A B)) (* -1 (/ (+ A (* -1/2 (/ (pow A 2) B))) C)))) C)) (* 1/2 (/ 1 B)))) |
(- (* -1/2 (/ (pow C 2) B)) C) |
(- (+ (* -1/2 (/ (pow C 2) B)) (* A (+ 1 (/ C B)))) C) |
(- (+ (* -1/2 (/ (pow C 2) B)) (* A (+ 1 (+ (* -1/2 (/ A B)) (/ C B))))) C) |
(- (+ (* -1/2 (/ (pow C 2) B)) (* A (+ 1 (+ (* -1/2 (/ A B)) (/ C B))))) C) |
(* -1/2 (/ (pow A 2) B)) |
(* (pow A 2) (- (+ (/ 1 A) (/ C (* A B))) (* 1/2 (/ 1 B)))) |
(* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) B))) (+ (/ 1 A) (/ C (* A B)))) (+ (* 1/2 (/ 1 B)) (/ C (pow A 2))))) |
(* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) B))) (+ (/ 1 A) (/ C (* A B)))) (+ (* 1/2 (/ 1 B)) (/ C (pow A 2))))) |
(* -1/2 (/ (pow A 2) B)) |
(* (pow A 2) (- (* -1 (/ (- (* -1 (/ C B)) 1) A)) (* 1/2 (/ 1 B)))) |
(* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C B)) (* -1 (/ (- (* -1/2 (/ (pow C 2) B)) C) A))) 1) A)) (* 1/2 (/ 1 B)))) |
(* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C B)) (* -1 (/ (- (* -1/2 (/ (pow C 2) B)) C) A))) 1) A)) (* 1/2 (/ 1 B)))) |
(* -1/2 (/ (pow (- C A) 2) B)) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) B) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) B) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) B) |
(- A C) |
(- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) |
(- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) |
(- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) |
(- A C) |
(- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) |
(- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) |
(- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI))) |
(* 180 (/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI))) |
(* 180 (/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI))) |
(* 180 (/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI))) |
(* 180 (/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI))) |
(* 180 (/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI))) |
(* 180 (/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(* 180 (/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI))) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI)) |
(/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI)) |
(/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI)) |
(/ (atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI)) |
(/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI)) |
(/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI)) |
(/ (atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(/ (atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) (PI)) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) |
(atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) |
(atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) |
(atan (- 1 (+ (* -1 (/ C B)) (+ (* -1/2 (/ (pow (+ A (* -1 C)) 2) (pow B 2))) (/ A B))))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) |
(atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) |
(atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) |
(atan (- (+ 1 (+ (* -1 (/ A B)) (/ C B))) (* -1/2 (/ (pow (+ C (* -1 A)) 2) (pow B 2))))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A B)))) |
(atan (- (+ 1 (/ C B)) (+ (* -1/2 (/ (pow (- C A) 2) (pow B 2))) (/ A 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))) |
(* -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 B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(/ C B) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(* C (+ (* -1 (/ A (* B C))) (/ 1 B))) |
(/ C B) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(* -1 (* C (- (/ A (* B C)) (/ 1 B)))) |
(/ C B) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(+ (* -1 (/ A B)) (/ C B)) |
(* -1 (/ A B)) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* A (- (/ C (* A B)) (/ 1 B))) |
(* -1 (/ A B)) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 B)))) |
(* -1 (* A (+ (* -1 (/ C (* A B))) (/ 1 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) B) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(* 1/2 (/ B A)) |
(/ (+ A (* -1/2 (/ (pow A 2) B))) B) |
(+ (* -1/2 (/ (pow A 2) (pow B 2))) (+ (* C (- (/ A (pow B 2)) (/ 1 B))) (/ A B))) |
(+ (* -1/2 (/ (pow A 2) (pow B 2))) (+ (* C (- (+ (* -1/2 (/ C (pow B 2))) (/ A (pow B 2))) (/ 1 B))) (/ A B))) |
(+ (* -1/2 (/ (pow A 2) (pow B 2))) (+ (* C (- (+ (* -1/2 (/ C (pow B 2))) (/ A (pow B 2))) (/ 1 B))) (/ A B))) |
(* -1/2 (/ (pow C 2) (pow B 2))) |
(* (pow C 2) (- (/ A (* (pow B 2) C)) (+ (/ 1 (* B C)) (* 1/2 (/ 1 (pow B 2)))))) |
(* (pow C 2) (- (+ (* -1/2 (/ (pow A 2) (* (pow B 2) (pow C 2)))) (+ (/ A (* B (pow C 2))) (/ A (* (pow B 2) C)))) (+ (/ 1 (* B C)) (* 1/2 (/ 1 (pow B 2)))))) |
(* (pow C 2) (- (+ (* -1/2 (/ (pow A 2) (* (pow B 2) (pow C 2)))) (+ (/ A (* B (pow C 2))) (/ A (* (pow B 2) C)))) (+ (/ 1 (* B C)) (* 1/2 (/ 1 (pow B 2)))))) |
(* -1/2 (/ (pow C 2) (pow B 2))) |
(* (pow C 2) (- (* -1 (/ (+ (* -1 (/ A (pow B 2))) (/ 1 B)) C)) (* 1/2 (/ 1 (pow B 2))))) |
(* (pow C 2) (- (* -1 (/ (+ (* -1 (/ A (pow B 2))) (+ (* -1 (/ (+ (* -1/2 (/ (pow A 2) (pow B 2))) (/ A B)) C)) (/ 1 B))) C)) (* 1/2 (/ 1 (pow B 2))))) |
(* (pow C 2) (- (* -1 (/ (+ (* -1 (/ A (pow B 2))) (+ (* -1 (/ (+ (* -1/2 (/ (pow A 2) (pow B 2))) (/ A B)) C)) (/ 1 B))) C)) (* 1/2 (/ 1 (pow B 2))))) |
(/ (- (* -1/2 (/ (pow C 2) B)) C) B) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (* A (+ (/ 1 B) (/ C (pow B 2))))) (/ C B)) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (* A (+ (* -1/2 (/ A (pow B 2))) (+ (/ 1 B) (/ C (pow B 2)))))) (/ C B)) |
(- (+ (* -1/2 (/ (pow C 2) (pow B 2))) (* A (+ (* -1/2 (/ A (pow B 2))) (+ (/ 1 B) (/ C (pow B 2)))))) (/ C B)) |
(* -1/2 (/ (pow A 2) (pow B 2))) |
(* (pow A 2) (- (+ (/ 1 (* A B)) (/ C (* A (pow B 2)))) (* 1/2 (/ 1 (pow B 2))))) |
(* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) (pow B 2)))) (+ (/ 1 (* A B)) (/ C (* A (pow B 2))))) (+ (* 1/2 (/ 1 (pow B 2))) (/ C (* (pow A 2) B))))) |
(* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) (pow B 2)))) (+ (/ 1 (* A B)) (/ C (* A (pow B 2))))) (+ (* 1/2 (/ 1 (pow B 2))) (/ C (* (pow A 2) B))))) |
(* -1/2 (/ (pow A 2) (pow B 2))) |
(* (pow A 2) (- (* -1 (/ (- (* -1 (/ C (pow B 2))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2))))) |
(* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C (pow B 2))) (* -1 (/ (- (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) A))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2))))) |
(* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C (pow B 2))) (* -1 (/ (- (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) A))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2))))) |
(* -1/2 (/ (pow (- C A) 2) (pow B 2))) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2)) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2)) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2)) |
(/ (- A C) B) |
(/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B) |
(/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B) |
(/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B) |
(/ (- A C) B) |
(* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B)) |
(* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B)) |
(* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B)) |
(/ (pow A 2) B) |
(+ (* -2 (/ (* A C) B)) (/ (pow A 2) B)) |
(+ (* C (+ (* -2 (/ A B)) (/ C B))) (/ (pow A 2) B)) |
(+ (* C (+ (* -2 (/ A B)) (/ C B))) (/ (pow A 2) B)) |
(/ (pow C 2) B) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (/ 1 B))) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (+ (/ 1 B) (/ (pow A 2) (* B (pow C 2)))))) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (+ (/ 1 B) (/ (pow A 2) (* B (pow C 2)))))) |
(/ (pow C 2) B) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (/ 1 B))) |
(* (pow C 2) (+ (* -1 (/ (+ (* -1 (/ (pow A 2) (* B C))) (* 2 (/ A B))) C)) (/ 1 B))) |
(* (pow C 2) (+ (* -1 (/ (+ (* -1 (/ (pow A 2) (* B C))) (* 2 (/ A B))) C)) (/ 1 B))) |
(/ (pow C 2) B) |
(+ (* -2 (/ (* A C) B)) (/ (pow C 2) B)) |
(+ (* A (+ (* -2 (/ C B)) (/ A B))) (/ (pow C 2) B)) |
(+ (* A (+ (* -2 (/ C B)) (/ A B))) (/ (pow C 2) B)) |
(/ (pow A 2) B) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (/ 1 B))) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (+ (/ 1 B) (/ (pow C 2) (* (pow A 2) B))))) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (+ (/ 1 B) (/ (pow C 2) (* (pow A 2) B))))) |
(/ (pow A 2) B) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (/ 1 B))) |
(* (pow A 2) (+ (* -1 (/ (+ (* -1 (/ (pow C 2) (* A B))) (* 2 (/ C B))) A)) (/ 1 B))) |
(* (pow A 2) (+ (* -1 (/ (+ (* -1 (/ (pow C 2) (* A B))) (* 2 (/ C B))) A)) (/ 1 B))) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
(/ (pow (- C A) 2) B) |
| Outputs |
|---|
(sqrt (+ (pow A 2) (pow B 2))) |
(sqrt.f64 (fma.f64 A A (*.f64 B B))) |
(+ (sqrt (+ (pow A 2) (pow B 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow A 2) (pow B 2))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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))))))))) |
(fma.f64 C (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
(+ (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)))))))))) |
(fma.f64 C (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 A A (*.f64 B B)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) C) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B)))) (neg.f64 A)) (*.f64 C (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 A C)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 A A) (fma.f64 A A (*.f64 B B))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 A A (*.f64 B B)) (*.f64 (fma.f64 A A (*.f64 B B)) (fma.f64 A A (*.f64 B B))))))))) (sqrt.f64 (fma.f64 A A (*.f64 B B)))) |
C |
(* C (+ 1 (* -1 (/ A C)))) |
(fma.f64 C (/.f64 A (neg.f64 C)) C) |
(* C (+ 1 (+ (* -1 (/ A C)) (* 1/2 (/ (pow B 2) (pow C 2)))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (*.f64 B (/.f64 B (*.f64 C C))) (/.f64 A (neg.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))))))) |
(fma.f64 C (fma.f64 #s(literal 1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) (*.f64 C (*.f64 C C))) (*.f64 B (/.f64 B (*.f64 C C)))) (/.f64 A (neg.f64 C))) C) |
(* -1 C) |
(neg.f64 C) |
(* -1 (* C (+ 1 (* -1 (/ A C))))) |
(neg.f64 (fma.f64 C (/.f64 A (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1/2 (/ (pow B 2) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C) A) (neg.f64 C)) C)) |
(* -1 (* C (+ 1 (* -1 (/ (+ A (* -1 (/ (+ (* 1/2 (/ (* A (pow B 2)) C)) (* 1/2 (pow B 2))) C))) C))))) |
(neg.f64 (fma.f64 C (/.f64 (+.f64 A (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 A (/.f64 (*.f64 B B) C) (*.f64 B B))) C)) (neg.f64 C)) C)) |
(sqrt (+ (pow B 2) (pow C 2))) |
(sqrt.f64 (fma.f64 B B (*.f64 C C))) |
(+ (sqrt (+ (pow B 2) (pow C 2))) (* -1 (* (* A C) (sqrt (/ 1 (+ (pow B 2) (pow C 2))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (neg.f64 C)) (sqrt.f64 (fma.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))))))))) |
(fma.f64 A (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 C))) (sqrt.f64 (fma.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)))))))))) |
(fma.f64 A (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B B (*.f64 C C)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) A) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C)))) (neg.f64 C)) (*.f64 (*.f64 A #s(literal 1/2 binary64)) (*.f64 A (*.f64 (*.f64 C (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 C C) (fma.f64 B B (*.f64 C C))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 B B (*.f64 C C)) (*.f64 (fma.f64 B B (*.f64 C C)) (fma.f64 B B (*.f64 C C)))))))))) (sqrt.f64 (fma.f64 B B (*.f64 C C)))) |
A |
(* A (+ 1 (* -1 (/ C A)))) |
(fma.f64 (/.f64 C A) (neg.f64 A) A) |
(* A (+ 1 (+ (* -1 (/ C A)) (* 1/2 (/ (pow B 2) (pow A 2)))))) |
(fma.f64 A (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (*.f64 A A)) (/.f64 C (neg.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))))))) |
(fma.f64 A (fma.f64 #s(literal 1/2 binary64) (fma.f64 B (/.f64 B (*.f64 A A)) (/.f64 (*.f64 (*.f64 B B) C) (*.f64 A (*.f64 A A)))) (/.f64 C (neg.f64 A))) A) |
(* -1 A) |
(neg.f64 A) |
(* -1 (* A (+ 1 (* -1 (/ C A))))) |
(neg.f64 (fma.f64 (/.f64 C A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1/2 (/ (pow B 2) A))) A))))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) A) C) A) (neg.f64 A) A)) |
(* -1 (* A (+ 1 (* -1 (/ (+ C (* -1 (/ (+ (* 1/2 (/ (* (pow B 2) C) A)) (* 1/2 (pow B 2))) A))) A))))) |
(neg.f64 (fma.f64 A (/.f64 (+.f64 C (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 B B (/.f64 (*.f64 (*.f64 B B) C) A))) A)) (neg.f64 A)) A)) |
(- C A) |
(-.f64 C A) |
(- (+ C (* 1/2 (/ (pow B 2) (- C A)))) A) |
(-.f64 (fma.f64 (*.f64 B B) (/.f64 #s(literal 1/2 binary64) (-.f64 C A)) C) A) |
(- (+ C (* (pow B 2) (+ (* -1/8 (/ (pow B 2) (pow (- C A) 3))) (* 1/2 (/ 1 (- C A)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 B B) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) (-.f64 C A)))) (/.f64 #s(literal 1/2 binary64) (-.f64 C A))) (-.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)))))) A) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.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))) (-.f64 C A)) |
B |
(* B (+ 1 (* 1/2 (/ (pow (- C A) 2) (pow B 2))))) |
(fma.f64 B (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B))) B) |
(* B (+ 1 (+ (* -1/8 (/ (pow (- C A) 4) (pow B 4))) (* 1/2 (/ (pow (- C A) 2) (pow B 2)))))) |
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B |
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(fma.f64 A (+.f64 (/.f64 C (*.f64 B B)) (fma.f64 #s(literal -1/2 binary64) (/.f64 A (*.f64 B B)) (/.f64 #s(literal 1 binary64) B))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 C C)) B) C) B)) |
(* -1/2 (/ (pow A 2) (pow B 2))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 A A)) (*.f64 B B)) |
(* (pow A 2) (- (+ (/ 1 (* A B)) (/ C (* A (pow B 2)))) (* 1/2 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 A A) (+.f64 (/.f64 C (*.f64 A (*.f64 B B))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 A B)) (/.f64 #s(literal 1/2 binary64) (*.f64 B B))))) |
(* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) (pow B 2)))) (+ (/ 1 (* A B)) (/ C (* A (pow B 2))))) (+ (* 1/2 (/ 1 (pow B 2))) (/ C (* (pow A 2) B))))) |
(*.f64 (*.f64 A A) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C C) (*.f64 A (*.f64 A (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (*.f64 A B))) (-.f64 (/.f64 C (*.f64 A (*.f64 B B))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 C (*.f64 A (*.f64 A B))))))) |
(* (pow A 2) (- (+ (* -1/2 (/ (pow C 2) (* (pow A 2) (pow B 2)))) (+ (/ 1 (* A B)) (/ C (* A (pow B 2))))) (+ (* 1/2 (/ 1 (pow B 2))) (/ C (* (pow A 2) B))))) |
(*.f64 (*.f64 A A) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 C C) (*.f64 A (*.f64 A (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (*.f64 A B))) (-.f64 (/.f64 C (*.f64 A (*.f64 B B))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 B B)) (/.f64 C (*.f64 A (*.f64 A B))))))) |
(* -1/2 (/ (pow A 2) (pow B 2))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 A A)) (*.f64 B B)) |
(* (pow A 2) (- (* -1 (/ (- (* -1 (/ C (pow B 2))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 A A) (+.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 C (*.f64 A (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (*.f64 A B)))) (/.f64 #s(literal -1/2 binary64) (*.f64 B B)))) |
(* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C (pow B 2))) (* -1 (/ (- (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) A))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 A A) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 C (*.f64 (neg.f64 B) B)) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 C C)) B) C) B) A)) (/.f64 #s(literal -1 binary64) B)) (neg.f64 A)) (/.f64 #s(literal -1/2 binary64) (*.f64 B B)))) |
(* (pow A 2) (- (* -1 (/ (- (+ (* -1 (/ C (pow B 2))) (* -1 (/ (- (* -1/2 (/ (pow C 2) (pow B 2))) (/ C B)) A))) (/ 1 B)) A)) (* 1/2 (/ 1 (pow B 2))))) |
(*.f64 (*.f64 A A) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 C (*.f64 (neg.f64 B) B)) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 C C)) B) C) B) A)) (/.f64 #s(literal -1 binary64) B)) (neg.f64 A)) (/.f64 #s(literal -1/2 binary64) (*.f64 B B)))) |
(* -1/2 (/ (pow (- C A) 2) (pow B 2))) |
(/.f64 (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal -1/2 binary64))) (*.f64 B B)) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2)) |
(/.f64 (fma.f64 B (-.f64 A C) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal -1/2 binary64)))) (*.f64 B B)) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2)) |
(/.f64 (fma.f64 B (-.f64 A C) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal -1/2 binary64)))) (*.f64 B B)) |
(/ (+ (* -1/2 (pow (- C A) 2)) (* B (- A C))) (pow B 2)) |
(/.f64 (fma.f64 B (-.f64 A C) (*.f64 (-.f64 C A) (*.f64 (-.f64 C A) #s(literal -1/2 binary64)))) (*.f64 B B)) |
(/ (- A C) B) |
(/.f64 (-.f64 A C) B) |
(/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B) |
(/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B) |
(/ (- (+ A (* -1/2 (/ (pow (- C A) 2) B))) C) B) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B) |
(/ (- A C) B) |
(/.f64 (-.f64 A C) B) |
(* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) B)) (-.f64 A C)) (neg.f64 B)) |
(* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) B)) (-.f64 A C)) (neg.f64 B)) |
(* -1 (/ (+ (* -1 (- A C)) (* 1/2 (/ (pow (- C A) 2) B))) B)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 C A) (-.f64 C A)) (/.f64 #s(literal 1/2 binary64) B)) (-.f64 A C)) (neg.f64 B)) |
(/ (pow A 2) B) |
(/.f64 (*.f64 A A) B) |
(+ (* -2 (/ (* A C) B)) (/ (pow A 2) B)) |
(*.f64 A (fma.f64 (/.f64 C B) #s(literal -2 binary64) (/.f64 A B))) |
(+ (* C (+ (* -2 (/ A B)) (/ C B))) (/ (pow A 2) B)) |
(fma.f64 A (/.f64 A B) (*.f64 C (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 C B)))) |
(+ (* C (+ (* -2 (/ A B)) (/ C B))) (/ (pow A 2) B)) |
(fma.f64 A (/.f64 A B) (*.f64 C (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 C B)))) |
(/ (pow C 2) B) |
(/.f64 (*.f64 C C) B) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (/ 1 B))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 #s(literal -2 binary64) (*.f64 B C)) (/.f64 #s(literal 1 binary64) B))) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (+ (/ 1 B) (/ (pow A 2) (* B (pow C 2)))))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 A (*.f64 B (*.f64 C C))) (fma.f64 A (/.f64 #s(literal -2 binary64) (*.f64 B C)) (/.f64 #s(literal 1 binary64) B)))) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (+ (/ 1 B) (/ (pow A 2) (* B (pow C 2)))))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 A (*.f64 B (*.f64 C C))) (fma.f64 A (/.f64 #s(literal -2 binary64) (*.f64 B C)) (/.f64 #s(literal 1 binary64) B)))) |
(/ (pow C 2) B) |
(/.f64 (*.f64 C C) B) |
(* (pow C 2) (+ (* -2 (/ A (* B C))) (/ 1 B))) |
(*.f64 (*.f64 C C) (fma.f64 A (/.f64 #s(literal -2 binary64) (*.f64 B C)) (/.f64 #s(literal 1 binary64) B))) |
(* (pow C 2) (+ (* -1 (/ (+ (* -1 (/ (pow A 2) (* B C))) (* 2 (/ A B))) C)) (/ 1 B))) |
(*.f64 (*.f64 C C) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (/.f64 (*.f64 A #s(literal 2 binary64)) B) (/.f64 (*.f64 A A) (*.f64 B C))) C))) |
(* (pow C 2) (+ (* -1 (/ (+ (* -1 (/ (pow A 2) (* B C))) (* 2 (/ A B))) C)) (/ 1 B))) |
(*.f64 (*.f64 C C) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (/.f64 (*.f64 A #s(literal 2 binary64)) B) (/.f64 (*.f64 A A) (*.f64 B C))) C))) |
(/ (pow C 2) B) |
(/.f64 (*.f64 C C) B) |
(+ (* -2 (/ (* A C) B)) (/ (pow C 2) B)) |
(*.f64 C (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 C B))) |
(+ (* A (+ (* -2 (/ C B)) (/ A B))) (/ (pow C 2) B)) |
(fma.f64 A (/.f64 A B) (*.f64 C (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 C B)))) |
(+ (* A (+ (* -2 (/ C B)) (/ A B))) (/ (pow C 2) B)) |
(fma.f64 A (/.f64 A B) (*.f64 C (fma.f64 A (/.f64 #s(literal -2 binary64) B) (/.f64 C B)))) |
(/ (pow A 2) B) |
(/.f64 (*.f64 A A) B) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (/ 1 B))) |
(*.f64 (*.f64 A A) (fma.f64 (/.f64 C (*.f64 A B)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) B))) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (+ (/ 1 B) (/ (pow C 2) (* (pow A 2) B))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A (*.f64 A B))) (fma.f64 (/.f64 C (*.f64 A B)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) B)))) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (+ (/ 1 B) (/ (pow C 2) (* (pow A 2) B))))) |
(*.f64 (*.f64 A A) (fma.f64 C (/.f64 C (*.f64 A (*.f64 A B))) (fma.f64 (/.f64 C (*.f64 A B)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) B)))) |
(/ (pow A 2) B) |
(/.f64 (*.f64 A A) B) |
(* (pow A 2) (+ (* -2 (/ C (* A B))) (/ 1 B))) |
(*.f64 (*.f64 A A) (fma.f64 (/.f64 C (*.f64 A B)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) B))) |
(* (pow A 2) (+ (* -1 (/ (+ (* -1 (/ (pow C 2) (* A B))) (* 2 (/ C B))) A)) (/ 1 B))) |
(*.f64 (*.f64 A A) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B) (/.f64 (*.f64 C C) (*.f64 A B))) A))) |
(* (pow A 2) (+ (* -1 (/ (+ (* -1 (/ (pow C 2) (* A B))) (* 2 (/ C B))) A)) (/ 1 B))) |
(*.f64 (*.f64 A A) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) C) B) (/.f64 (*.f64 C C) (*.f64 A B))) A))) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
(/ (pow (- C A) 2) B) |
(*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) |
Compiled 45 090 to 5 802 computations (87.1% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 705 | 9 | 1 714 |
| Fresh | 5 | 14 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 713 | 30 | 1 743 |
| Status | Accuracy | Program |
|---|---|---|
| 26.8% | (/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 1/180 binary64)) | |
| 26.8% | (/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64)) (PI.f64)) | |
| ✓ | 81.0% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
| 50.1% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) | |
| 46.6% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) | |
| ✓ | 26.8% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) |
| 33.9% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) | |
| 24.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) | |
| 23.2% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) | |
| 26.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) (PI.f64)) | |
| 43.7% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) | |
| 53.4% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) | |
| ✓ | 24.5% | (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| 45.3% | (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 26.8% | (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) | |
| 26.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (PI.f64) #s(literal 1/180 binary64)))) | |
| 21.2% | (*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) #s(literal 1 binary64))) | |
| 21.1% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) B)) (PI.f64))) | |
| 17.0% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (PI.f64))) | |
| 35.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 B B))) (PI.f64))) | |
| 38.4% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) | |
| 46.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) | |
| ✓ | 26.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) |
| 21.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64))) | |
| 41.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (neg.f64 A) B)) (-.f64 A C)) B))) (PI.f64))) | |
| 42.8% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) | |
| 23.2% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A))) (PI.f64))) | |
| ✓ | 45.3% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
| ✓ | 12.6% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| ✓ | 20.9% | (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
Compiled 1 486 to 675 computations (54.6% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) B) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) B)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (neg.f64 A) B)) (-.f64 A C)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 B B))) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B))))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C A)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))))))) (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 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (PI.f64)) |
7 calls:
| 57.0ms | A |
| 48.0ms | (*.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)))))) |
| 47.0ms | (/.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)) |
| 44.0ms | C |
| 17.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 2 | A |
| 81.0% | 1 | B |
| 83.9% | 2 | C |
| 91.3% | 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))) |
| 91.3% | 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)) |
| 91.3% | 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))))))) |
| 91.3% | 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 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) B) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) B)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (neg.f64 A) B)) (-.f64 A C)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 (*.f64 C B) (*.f64 B (sqrt.f64 (fma.f64 B B (*.f64 C C))))) (*.f64 B B))) (PI.f64))) |
(*.f64 (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))) (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 A C) (-.f64 A C) (*.f64 B B)))) B)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (PI.f64))) |
7 calls:
| 236.0ms | (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))))))) |
| 218.0ms | A |
| 16.0ms | C |
| 16.0ms | B |
| 13.0ms | (*.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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 4 | B |
| 66.1% | 3 | C |
| 71.4% | 2 | A |
| 82.5% | 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))) |
| 82.5% | 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)) |
| 82.5% | 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))))))) |
| 82.5% | 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 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1 binary64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (-.f64 C A) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 A B)))) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) #s(literal 1/180 binary64)) (PI.f64)) |
(/.f64 (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64)) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 180 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) B) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 A (*.f64 B #s(literal 1/2 binary64))))) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/180 binary64)) (atan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 B A))))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (/.f64 (*.f64 (*.f64 B B) #s(literal -1/2 binary64)) C) B)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 (PI.f64) #s(literal 1/180 binary64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 C C (*.f64 B B)))) B)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 B B) C)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 B B) A)))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 (*.f64 B (*.f64 B #s(literal 1/2 binary64))) A))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (+.f64 A (sqrt.f64 (fma.f64 A A (*.f64 B B)))) (neg.f64 B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 B (/.f64 A (*.f64 C C)) (/.f64 B C)) #s(literal 0 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))))) (PI.f64))) |
(*.f64 (/.f64 #s(literal 180 binary64) (PI.f64)) (*.f64 (atan.f64 (/.f64 (-.f64 C (sqrt.f64 (fma.f64 B B (*.f64 C C)))) B)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (neg.f64 A) B)) (-.f64 A C)) B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (fma.f64 (-.f64 C A) (-.f64 C A) (*.f64 B B)))) B))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
4 calls:
| 218.0ms | (*.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)))))) |
| 193.0ms | (*.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))) |
| 11.0ms | (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))))))) |
| 11.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 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))) |
| 82.1% | 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)) |
| 82.1% | 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))))))) |
| 82.1% | 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 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (PI.f64)) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
4 calls:
| 6.0ms | (*.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)))))) |
| 6.0ms | (*.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))) |
| 6.0ms | (/.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)) |
| 6.0ms | (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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 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))) |
| 77.2% | 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)) |
| 77.2% | 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))))))) |
| 77.2% | 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 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 binary64))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (PI.f64)) |
4 calls:
| 6.0ms | (*.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)))))) |
| 6.0ms | (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))))))) |
| 5.0ms | (/.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)) |
| 5.0ms | (*.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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 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))) |
| 77.2% | 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)) |
| 77.2% | 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))))))) |
| 77.2% | 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 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 binary64))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (fma.f64 B (/.f64 #s(literal -1/2 binary64) C) #s(literal 0 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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
4 calls:
| 33.0ms | (*.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))) |
| 5.0ms | (*.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)))))) |
| 5.0ms | (/.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)) |
| 5.0ms | (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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 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))) |
| 77.2% | 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)) |
| 77.2% | 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))))))) |
| 77.2% | 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 93 to 65 computations (30.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(*.f64 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))) |
6 calls:
| 6.0ms | B |
| 6.0ms | A |
| 5.0ms | (*.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)))))) |
| 5.0ms | (*.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))) |
| 5.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | A |
| 67.3% | 2 | B |
| 70.7% | 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))) |
| 70.7% | 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)) |
| 70.7% | 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))))))) |
| 74.1% | 5 | (*.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 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (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 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
6 calls:
| 6.0ms | B |
| 6.0ms | A |
| 5.0ms | (*.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)))))) |
| 5.0ms | (*.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))) |
| 5.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 2 | B |
| 66.9% | 3 | A |
| 65.9% | 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))) |
| 65.9% | 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)) |
| 65.9% | 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))))))) |
| 67.7% | 4 | (*.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 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) |
(/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (*.f64 (PI.f64) #s(literal 1/180 binary64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 A #s(literal -2 binary64)) B))) (PI.f64)) |
| Outputs |
|---|
(*.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 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
1 calls:
| 5.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 3 | A |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
6 calls:
| 69.0ms | C |
| 5.0ms | A |
| 4.0ms | (*.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)))))) |
| 4.0ms | (*.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))) |
| 4.0ms | (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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 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))) |
| 64.2% | 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)) |
| 64.2% | 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))))))) |
| 62.4% | 3 | C |
| 65.9% | 4 | (*.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)))))) |
| 56.1% | 3 | A |
Compiled 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 #s(literal -2 binary64) A) B)) (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 A #s(literal -2 binary64)) B)) (PI.f64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
6 calls:
| 4.0ms | B |
| 4.0ms | C |
| 4.0ms | (*.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)))))) |
| 4.0ms | (*.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))) |
| 4.0ms | (/.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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 2 | B |
| 57.6% | 3 | C |
| 59.0% | 2 | (*.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))) |
| 59.0% | 2 | (/.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)) |
| 59.0% | 2 | (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))))))) |
| 60.8% | 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 101 to 71 computations (29.7% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))) |
1 calls:
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
5 calls:
| 3.0ms | B |
| 3.0ms | (*.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)))))) |
| 3.0ms | (/.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)) |
| 2.0ms | (*.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))) |
| 2.0ms | (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))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 2 | (*.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))) |
| 51.0% | 2 | (/.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)) |
| 51.0% | 2 | (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))))))) |
| 54.6% | 4 | (*.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)))))) |
| 56.2% | 2 | B |
Compiled 97 to 68 computations (29.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
4 calls:
| 13.0ms | A |
| 3.0ms | B |
| 3.0ms | C |
| 2.0ms | (*.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)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 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)))))) |
| 47.3% | 5 | A |
| 40.8% | 3 | C |
| 52.7% | 3 | B |
Compiled 33 to 23 computations (30.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
4 calls:
| 2.0ms | B |
| 2.0ms | (/.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)) |
| 2.0ms | (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))))))) |
| 2.0ms | (*.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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 2 | (*.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))) |
| 43.4% | 2 | (/.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)) |
| 43.4% | 2 | (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))))))) |
| 52.6% | 3 | B |
Compiled 76 to 54 computations (28.9% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 #s(literal 1 binary64))) (PI.f64)) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
1 calls:
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.0% | 3 | B |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
7 calls:
| 11.0ms | (/.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)) |
| 2.0ms | (*.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))) |
| 2.0ms | A |
| 2.0ms | B |
| 1.0ms | C |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.0% | 2 | C |
| 25.3% | 2 | A |
| 27.0% | 2 | (*.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))) |
| 27.0% | 2 | (/.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)) |
| 27.0% | 2 | (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))))))) |
| 27.0% | 2 | (*.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)))))) |
| 29.2% | 2 | B |
Compiled 105 to 74 computations (29.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
7 calls:
| 1.0ms | (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))))))) |
| 1.0ms | (*.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))) |
| 1.0ms | C |
| 1.0ms | (*.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)))))) |
| 1.0ms | A |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.9% | 1 | C |
| 20.9% | 1 | A |
| 20.9% | 1 | (*.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))) |
| 20.9% | 1 | (/.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)) |
| 20.9% | 1 | (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))))))) |
| 20.9% | 1 | (*.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)))))) |
| 20.9% | 1 | B |
Compiled 105 to 74 computations (29.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.03548062381506165 | 0.0 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
Compiled 29 to 25 computations (13.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
| 0.0ms | -4.31870356022837e+58 | -1.0021289068635726 |
| 0.0ms | -inf | -1.2447021565519482e+298 |
Compiled 29 to 25 computations (13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.0216128611648857e-121 | 3.62822239504883e-111 |
| 37.0ms | -6.363193598322893e-53 | -8.32289621993075e-54 |
| 21.0ms | 193× | 0 | valid |
| 10.0ms | 32× | 2 | valid |
| 7.0ms | 31× | 1 | valid |
Compiled 477 to 408 computations (14.5% saved)
ival-pow2: 6.0ms (20.3% of total)ival-sub: 5.0ms (16.9% of total)ival-div: 5.0ms (16.9% of total)ival-mult: 4.0ms (13.5% of total)ival-sqrt: 3.0ms (10.1% of total)ival-atan: 3.0ms (10.1% of total)adjust: 2.0ms (6.8% of total)ival-pi: 1.0ms (3.4% of total)ival-add: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 1.0216128611648857e-121 | 3.62822239504883e-111 |
| 41.0ms | -6.363193598322893e-53 | -8.32289621993075e-54 |
| 37.0ms | 188× | 0 | valid |
| 36.0ms | 48× | 2 | valid |
| 4.0ms | 20× | 1 | valid |
Compiled 477 to 408 computations (14.5% saved)
ival-sqrt: 24.0ms (35.1% of total)ival-div: 21.0ms (30.8% of total)ival-pow2: 6.0ms (8.8% of total)ival-sub: 5.0ms (7.3% of total)ival-mult: 4.0ms (5.9% of total)ival-atan: 3.0ms (4.4% of total)adjust: 2.0ms (2.9% of total)ival-add: 2.0ms (2.9% of total)ival-pi: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.545504365437498e+220 | 3.8740200851963444e+236 |
| 0.0ms | 0.0 | 0.9997014681862649 |
| 0.0ms | -0.9999998170504555 | -0.03548062381506165 |
Compiled 29 to 25 computations (13.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 2.2282125596704123e-114 | 1.2748114016960858e-109 |
| 11.0ms | 36× | 2 | valid |
| 9.0ms | 78× | 0 | valid |
| 3.0ms | 13× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 253 to 208 computations (17.8% saved)
ival-pow2: 4.0ms (22% of total)ival-sub: 3.0ms (16.5% of total)ival-div: 3.0ms (16.5% of total)ival-mult: 3.0ms (16.5% of total)adjust: 2.0ms (11% of total)ival-sqrt: 2.0ms (11% of total)ival-add: 1.0ms (5.5% of total)ival-atan: 1.0ms (5.5% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 56.0ms | 1.0389210181010462e-84 | 2.3269611754590196e-78 |
| 4.0ms | 4.269665750313865e-253 | 4.548489523767249e-253 |
| 17.0ms | 57× | 2 | valid |
| 9.0ms | 86× | 0 | valid |
| 4.0ms | 16× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 299 to 245 computations (18.1% saved)
ival-pow2: 5.0ms (20.3% of total)ival-sub: 4.0ms (16.2% of total)ival-div: 4.0ms (16.2% of total)adjust: 3.0ms (12.2% of total)ival-mult: 3.0ms (12.2% of total)ival-sqrt: 2.0ms (8.1% of total)ival-atan: 2.0ms (8.1% of total)ival-pi: 1.0ms (4.1% of total)ival-add: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 3.837037167687249e-53 | 1.8081196583771304e-52 |
| 21.0ms | 35× | 2 | valid |
| 6.0ms | 54× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 173 to 156 computations (9.8% saved)
ival-pow2: 3.0ms (20.6% of total)ival-sub: 2.0ms (13.7% of total)ival-div: 2.0ms (13.7% of total)adjust: 2.0ms (13.7% of total)ival-mult: 2.0ms (13.7% of total)ival-sqrt: 1.0ms (6.9% of total)ival-add: 1.0ms (6.9% of total)ival-atan: 1.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-pi: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 1.6839240744617881e-74 | 1.6256810310221028e-71 |
| 44.0ms | -4.2021581157784693e-69 | -1.851071438090867e-87 |
| 35.0ms | 165× | 0 | valid |
| 25.0ms | 83× | 2 | valid |
| 8.0ms | 36× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 443 to 402 computations (9.3% saved)
ival-pow2: 17.0ms (28.9% of total)ival-mult: 14.0ms (23.8% of total)ival-sub: 6.0ms (10.2% of total)ival-div: 6.0ms (10.2% of total)adjust: 4.0ms (6.8% 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)ival-pi: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 3.837037167687249e-53 | 1.8081196583771304e-52 |
| 22.0ms | -2.5754412014731515e-43 | -3.05276576800176e-45 |
| 22.0ms | 23× | 1 | valid |
| 15.0ms | 51× | 2 | valid |
| 14.0ms | 134× | 0 | valid |
Compiled 315 to 284 computations (9.8% saved)
ival-div: 21.0ms (47.3% of total)ival-pow2: 5.0ms (11.3% of total)ival-sub: 4.0ms (9% of total)ival-mult: 4.0ms (9% of total)ival-sqrt: 3.0ms (6.8% of total)adjust: 2.0ms (4.5% of total)ival-atan: 2.0ms (4.5% of total)ival-pi: 1.0ms (2.3% of total)ival-add: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 2.3609802826922427e-146 | 6.940174816129572e-140 |
| 37.0ms | -6.427185219575963e-124 | -2.0096552530612435e-125 |
| 40.0ms | 92× | 2 | valid |
| 16.0ms | 147× | 0 | valid |
| 4.0ms | 17× | 1 | valid |
Compiled 349 to 344 computations (1.4% saved)
ival-sqrt: 16.0ms (31.9% of total)ival-pow2: 7.0ms (13.9% of total)ival-sub: 6.0ms (12% of total)ival-div: 6.0ms (12% of total)ival-mult: 5.0ms (10% of total)adjust: 4.0ms (8% of total)ival-atan: 3.0ms (6% of total)ival-add: 2.0ms (4% of total)ival-pi: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 64.0ms | 2.3609802826922427e-146 | 6.940174816129572e-140 |
| 18.0ms | 60× | 2 | valid |
| 8.0ms | 72× | 0 | valid |
| 3.0ms | 12× | 1 | valid |
Compiled 209 to 204 computations (2.4% saved)
ival-sub: 4.0ms (17.6% of total)ival-pow2: 4.0ms (17.6% of total)ival-div: 3.0ms (13.2% of total)ival-mult: 3.0ms (13.2% of total)adjust: 2.0ms (8.8% of total)ival-sqrt: 2.0ms (8.8% of total)ival-pi: 1.0ms (4.4% of total)ival-add: 1.0ms (4.4% of total)ival-atan: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 62× | *-commutative_binary64 |
| 40× | +-commutative_binary64 |
| 32× | sub-neg_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 969 |
| 1 | 224 | 969 |
| 2 | 250 | 969 |
| 3 | 265 | 969 |
| 4 | 273 | 969 |
| 5 | 274 | 969 |
| 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 -5764607523034235/288230376151711744 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (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 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -inf.0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 -39999999999999997752477959897654523263188617714052787863552 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))))) |
(if (<=.f64 A #s(literal -6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) (if (<=.f64 A #s(literal 5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)))) |
(if (<=.f64 A #s(literal -4744950613418513/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 A #s(literal 3881737571769141/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64))))) |
(if (<=.f64 B #s(literal 3188570148238937/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))) |
(if (<=.f64 B #s(literal 7264049803115397/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 B #s(literal 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))))) |
(if (<=.f64 B #s(literal 2911674240052269/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))) |
(if (<=.f64 B #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 205145835019037/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -3515176971816541/50216813883093446110686315385661331328818843555712276103168 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 5499829120098731/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -1119401411932767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 3954123452235231/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal 8752617016666527/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 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 -5764607523034235/288230376151711744 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (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 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) (hypot.f64 (-.f64 C A) B)) B))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 C A) (/.f64 (-.f64 C A) B)) (-.f64 A C)) B))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) (-.f64 C A)))) (PI.f64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))) (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 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 (/.f64 (-.f64 C A) B) #s(literal -1 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 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -inf.0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 -39999999999999997752477959897654523263188617714052787863552 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 (atan.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) B) A)) (/.f64 #s(literal 180 binary64) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -inf.0 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 -39999999999999997752477959897654523263188617714052787863552 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 #s(literal 180 binary64) (PI.f64)) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 C A) B))) (PI.f64))))))) |
(if (<=.f64 A #s(literal -6686066773453359/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A))) (PI.f64)) (if (<=.f64 A #s(literal 5323525812711965/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)))) |
(if (<=.f64 A #s(literal -4744950613418513/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal 1/2 binary64)) A)) (PI.f64))) (if (<=.f64 A #s(literal 3881737571769141/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (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 -1/2 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (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 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (*.f64 B #s(literal -1/2 binary64)) C)) (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 100000000000000004660180717482069756840508580994937686142098045801868278132308629957276771221419571232103397659598548986531726166600689809136062209749264344058743012736731622189948720589505523832645973577156024278435495936 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64))))) |
(if (<=.f64 B #s(literal 3188570148238937/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (/.f64 A B)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64)))) |
(if (<=.f64 B #s(literal 7264049803115397/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 B #s(literal 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))))) |
(if (<=.f64 B #s(literal 7264049803115397/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (if (<=.f64 B #s(literal 5297247849083857/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 A (neg.f64 B)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (/.f64 (-.f64 C B) B)) (PI.f64))))) |
(if (<=.f64 B #s(literal 2911674240052269/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (/.f64 C B))) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))) |
(if (<=.f64 B #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 205145835019037/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 (neg.f64 A) B))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 205145835019037/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 A (neg.f64 B)))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -3515176971816541/50216813883093446110686315385661331328818843555712276103168 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 5499829120098731/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (*.f64 #s(literal 180 binary64) (atan.f64 (/.f64 C B))) (PI.f64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal -1119401411932767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 1 binary64)) (PI.f64))) (if (<=.f64 B #s(literal 3954123452235231/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))))) |
(if (<=.f64 B #s(literal 8752617016666527/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal 0 binary64)) (PI.f64))) (*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64)))) |
(*.f64 #s(literal 180 binary64) (/.f64 (atan.f64 #s(literal -1 binary64)) (PI.f64))) |
| 9 260× | accelerator-lowering-fma.f32 |
| 9 260× | accelerator-lowering-fma.f64 |
| 9 250× | accelerator-lowering-fma.f32 |
| 9 250× | accelerator-lowering-fma.f64 |
| 9 250× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 649 | 4231 |
| 1 | 2024 | 4036 |
| 2 | 6265 | 3996 |
| 0 | 8175 | 3465 |
| 0 | 849 | 8145 |
| 1 | 2557 | 7943 |
| 2 | 7745 | 7942 |
| 0 | 8275 | 6795 |
| 0 | 879 | 11645 |
| 1 | 2673 | 11189 |
| 0 | 8049 | 10182 |
| 0 | 40 | 230 |
| 1 | 214 | 230 |
| 2 | 1577 | 230 |
| 0 | 8361 | 175 |
| 0 | 39 | 260 |
| 1 | 197 | 254 |
| 2 | 1487 | 254 |
| 0 | 8254 | 179 |
| 0 | 844 | 8701 |
| 1 | 2550 | 8487 |
| 2 | 7745 | 8486 |
| 0 | 8275 | 7011 |
| 0 | 17 | 80 |
| 1 | 120 | 76 |
| 2 | 983 | 76 |
| 0 | 8632 | 54 |
| 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 |
Compiled 2 115 to 1 101 computations (47.9% saved)
Compiled 2 026 to 380 computations (81.2% saved)
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